Gina Szajnbok Harari
Computer Science and Electrical Engineering Ph.D. student at Universidade Presbiteriana Mackenzie (UPM), emphasizing Dynamic Systems, Complex Systems, and Systems Modeling for Engineering, Computing, and Biology applications.
Lattes: 0541908821518235
ORCID: 0000-0002-5878-3904
Resumé:
Academic background and Expertise: PhD Electrical Engineering and Computer Science student at UPM (2022-2025 (expected)). Master in Electrical Engineering and Computer Science at UPM (2020-2021). Advanced Training: Specialist in Project Management, emphasizing Knowledge Management. In Company Program at Itaú-Unibanco/UPM (2011-2012). Monitor through a public selection process at the Data Processing Department of FATEC-SP (1987-1989). Researcher at the Center for Research and Technological Studies NEPT-PD/FATEC-SP (1987-1989). Member of the Organizing Committee of the Technology Week at FATEC-SP (1986-1987). Co-founder and coordinating member of the University Extension Program in Algorithms, Automata and Compilers at FATEC-SP (1985-1986). Monitor of the General Education Department of FATEC-SP, teaching Calculus I, II, III, Mathematical Logic and Numerical Methods (1985-1986). Bachelor in Data Processing from FATEC-SP (1984-1988). Research Focus: Dynamic and Complex Systems with Applications in Biology, Sociology and Population Studies. Professional Career: Technology Area at Itaú-Unibanco (1990-2019): Systems Analyst. Electronic Banking Network Management (1990-1999). Systems Analyst. Development of Electronic Banking Channels (2000-2009). QA and Test Automation Engineer. Electronic Banking Channels (2010-2019). Volunteer work: Private lessons for children in Mathematics (since 1972), Physics (since 1976), Chemistry (since 1977), and Computer Science (since 1986).
Academic Lemma:
"The true scientist must always study, converting empirical knowledge into explicit and tacit knowledge, and sharing this knowledge for the betterment and evolution of humanity."
Harari, G. S.
Volunteering:
Private lessons for children, emphasizing Exact Sciences, Portuguese Language, and Biology.
Hobbies:
Travel, parks, hiking on trails, films (mainly French ones), books, magazines, and newspapers emphasizing Exact and Biomedical Sciences, including Astronomy and Mathematics.
Leonhard Paul Euler's scientific contributions 🚧 In construction
1 Constructio linearum isochronarum in medio quocunque resistente
2 Dissertatio physica de sono
3 Methodus inveniendi traiectorias reciprocas algebraicas
4 Meditationes super problemate nautico, quod illustrissima regia Parisiensis Academia scientarum proposuit
5 Problematis traiectoriarum reciprocarum solutio
6 Dissertatio de novo quodam curvarum tautochronarum genere
7 Tentamen explicationis phaenomenorum aeris
8 Solutio problematis de invenienda curva, quam format lamina utcunque elastica in singulis punctis a potentiis quibuscunque sollicitata
9 De linea brevissima in superficie quacunque duo quaelibet puncta iungente
10 Nova methodus innumerabiles aequationes differentiales secundi gradus reducendi ad aequationes differentiales primi gradus
11 Constructio aequationum quarundam differentialium, quae indeterminatarum separationem non admittunt
12 De innumerabilibus curvis tautochronis in vacuo
13 Curva tautochrona in fluido resistentiam faciente secundum quadrata celeritatum
14 Solutio problematis astronomici ex datis tribus stellae fixae altitudinibus et temporum differentiis invenire elevationem poli et declinationem stellae.
15 Mechanica, volume 1
16 Mechanica, volume 2
17 Rechenkunst
De Indorum anno solari astronomico
De progressionibus transcendentibus seu quarum termini generales algebraice dari nequeunt
De summatione innumerabilium progressionum
Quomodo data quacunque curva inveniri oporteat aliam quae cum data quodammodo iuncta ad tautochronismum producendum sit idonea
De communicatione motus in collisione corporum
De curvis rectificabilibus algebraicis atque traiectoriis reciprocis algebraicis
Solutio singularis casus circa tautochronismum
Methodus generalis summandi progressiones
Observationes de theoremate quodam Fermatiano aliisque ad numeros primos spectantibus
Problematis isoperimetrici in latissimo sensu accepti solutio generalis
Specimen de constructione aequationum differentialium sine indeterminatarum separatione
De solutione problematum diophanteorum per numeros integros
De formis radicum aequationum cuiusque ordinis coniectatio
Constructio aequationis differentialis axn dx = dy + y2 dx
Von der Gestalt der Erden
Tentamen novae theoriae musicae
Dissertatio de igne in qua ejus natura et proprietates explicantur
Einleitung zur Rechen-Kunst zum Gebrauch des Gymnasii bey der Kayserlichen Academie der Wissenschafften in St. Petersburg.
Solutio problematis arithmetici de inveniendo numero, qui per datos numeros divisus relinquat data residua
De motu planetarum et orbitarum determinatione
Orbitae solaris determinatio
Solutio problematum quorundam astronomicorum
De minimis oscillationibus corporum tam rigidorum quam flexibilium. Methodus nova et facilis.
De summis serierum reciprocarum
De linea celerrimi descensus in medio quocunque resistente
De progressionibus harmonicis observationes
De infinitis curvis eiusdem generis seu methodus inveniendi aequationes pro infinitis curvis eiusdem generis
Additamentum ad dissertationem de infinitis curvis eiusdem generis
Methodus universalis serierum convergentium summas quam proxime inveniendi
Inventio summae cuiusque seriei ex dato termino generali
Investigatio binarum curvarum, quarum arcus eidem abscissae respondentes summam algebraicam constituant
De oscillationibus fili flexilis quotcunque pondusculis onusti
Methodus computandi aequationem meridiei.
De constructione aequationum ope motus tractorii aliisque ad methodum tangentium inversam pertinentibus
Solutio problematum rectificationem ellipsis requirentium
Solutio problematis ad geometriam situs pertinentis
Theorematum quorundam ad numeros primos spectantium demonstratio
Methodus universalis series summandi ulterius promota
Curvarum maximi minimive proprietate gaudentium inventio nova et facilis
Inquisitio physica in causam fluxes ac refluxus maris
Determinatio orbitae cometae qui mense Martio huius anni 1742 potissimum fuit observatus
Theoremata circa reductionem formularum integralium ad quadraturam circuli
De inventione integralium, si post integrationem variabili quantitati determinatus valor tribuatur
De summis serierum reciprocarum ex potestatibus numerorum naturalium ortarum dissertatio altera, in qua eaedem summationes ex fonte maxime diverso derivantur
De integratione aequationum differentialium altiorum graduum
Demonstration de la somme de cette suite 1 + 1/4 + 1/9 + 1/16 …
Leonhardus Eulerus mathematicus acutissimus ad auctorem
Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti
Theoria motuum planetarum et cometarum
Beantwortung verschiedener Fragen uber die Beschaffenheit, Bewegung und Wurckung der Cometen.
Fortgesetzte Beantwortung der Fragen uber die Beschaffenheit, Bewegung und Wurckung der Cometen.
De communicatione motus in collisione corporum sese non directe percutientium
De constructione aequationum
De fractionibus continuis dissertatio
Variae observationes circa series infinitas
Solutio Problematis geometrici circa lunulas a circulis formatas
De variis modis circuli quadraturam numeris proxime exprimendi
Solutio problematis in Novorum Actorum Eruditorum mense novembri A. 1743 propositi
Novae et correctae tabulae ad loca lunae computanda
Neue Grundsatze der Artillerie
Dissertation sur la meilleure construction du cabestan
Problema geometricum propositum publice ab Anonymo Geometra
Opuscula varii argumenti.
Gedancken von den Elementen der Corper
De la force de percussion et de sa veritable mesure
Sur quelques proprietes des Sections coniques qui conviennent a un infinite d'autres lignes courbes
Leonhardi Euleri animadversio ad libri praecedentis sec. 83 et seq. de curvis elasticis
Solutio problematis catoptrici in his actis A. 1745 Mense Septembri P. I pag. 523 propositi
De motu corporum in superficiebus mobilibus
Tabulae astronomicae solis et lunae
Nova theoria lucis et colorum
De relaxatione motus planetarum
Enodatio quaestionis utrum materiae facultas cogitandi tribui possit necne
Recherches physiques sur la nature des moindres parties de la matiere
Rettung der gottlichen Offenbahrung gegen die Einwurfe der Freygeister.
Disquitio de bilancibus
De motu cymbarum remis propulsarum in fluviis
De aequationibus differentialibus, quae certis tantum casibus integrationem admittunt
De machinarum tam simplicium quam compositarum usu maxime lucroso
De attractione corporum sphaeroidico-ellipticorum
Theorematum quorundam arithmeticorum demonstrationes
Solutio problematis cuiusdam a Celeberrimo Daniele Bernoullio propositi
De numeris amicabilibus
Introductio in analysin infinitorum, volume 1
Introductio in analysin infinitorum, volume 2
Recherches physiques sur la cause de la queue (!) des cometes, de la lumiere boreale, et de la lumiere zodiacale
Memoire sur l'effet de la propagation successive de la lumiere dans l'apparition tant des planetes que des cometes
Memoire sur la plus grande equation des planetes
Solutio problematis catoptrici in Novis Actis Eruditorum Lipsiensibus pro mense Novembri A. 1745 propositi
Extract of a letter from Mr. Leonhard Euler, Prof. Mathem. and Member of the Imperial Society at Petersburgh, to the Rev. Mr. Cha. Wetstein, Chaplain and Secretary to His Royal Highness the Prince of Wales, concerning the Discoveries of the Russians on the North-East Coast of Asia.
De observatione inclinationis magneticae dissertatio
Dissertatio de magnete.
Scientia Navalis, volume 1
Scientia Navalis, volume 2
Recherches sur le mouvement des corps celestes en general
Methode pour trouver les vrais momens tant des nouvelles que des pleines lunes, par Mr. Euler
Methode de trouver le vrai lieu geocentrique de la lune par l'observation de l'occultation d'une etoile fixe. Par Mr. Euler
Methode de determiner la longitude des lieux par l'observation d'occultations des etoiles fixes par la lune
Memoire sur la force des rames
Reflexions sur la derniere eclipse du Soleil du 25 julliet a. 1748. Par Mr. Euler
Sur la perfection des verres objectifs des lunettes
De vibratione chordarum exercitatio
Recherches sur la question des inegalites du mouvement de Saturne et de Jupiter
Opuscula Varii Argumenti, Bd. 2
De productis ex infinitis factoribus ortis
De fractionibus continuis observationes
Determinatio caloris et frigoris graduum pro singulis terrae locis ac temporibus.
Consideratio progressionis cuiusdam ad circuli quadraturam inveniendam idoneae
De novo genere oscillationum
Explicatio phaenomenorum quae a motu lucis successive oriuntur
Methodus facilis computandi angulorum sinus ac tangentes tam naturales quam artificiales
Investigatio curvarum quae evolutae sui similes producunt
De seriebus quibusdam considerationes
Emendatio tabularum astronomicarum per loca planetarum geocentrica
Methodus viri celeberrimi Leonhardi Euleri determinandi gradus meridiani pariter ac paralleli telluris, secundum mensuram a celeb. de Maupertuis cum sociis institutam
De superficie conorum scalenorum aliorumque corporum conicorum
Theoremata circa divisores numerorum
Variae demonstrationes geometriae
De propagatione pulsuum per medium elasticum
Examen artificii navis a principio motus interno propellendi
De motu nodorum lunae eiusque inclinationis ad eclipticam variatione
Quantum motus terrae a luna perturbetur accuratius inquiritur
Sur la vibration des cordes (Traduit du Latin)
Sur l'accord des deux dernieres eclipses du soleil et de la lune avec mes tables, pour trouver les vrais momens des pleni-lunes et novi-lunes, par M. Euler
Sur l'atmosphere de la lune prouvee par la derniere eclipse annulaire du soleil.
Sur le frottement des corps solides
Sur la diminution de la resistance du frottement
Recherches sur les plus grands et plus petits qui se trouvent dans les actions des forces
Reflexions sur quelques loix generales de la nature qui s'observent dans les effets des forces quelconques
Sur un contradiction apparente dans la doctrine des lignes courbes
Demonstration sur le nombre des points, ou deux lignes des ordres quelconques peuvent se couper.
Reflexions sur l'espace et le tems
Meditationes in quaestionem observationibus temporis momentum determinandi
Coniectura physica circa propagationem soni ac luminis
De numeris amicabilibus
Demonstratio gemina theorematis Neutoniani, quo traditur relatio inter coefficientes cuiusvis aequationis algebraicae et summas potestatum radicum eiusdem
Animadversiones in rectificationem ellipsis
Auszug eines Briefes von Hrn. Euler uber die Vorstellung der Sternenbilder auf der Himmelskugel
Opusculorum tomus III
De extractione radicum ex quantitatibus irrationalibus
Observationes analyticae variae de combinationibus
De motu oscillatorio corporum flexibilium
De descensu corporum super plano inclinato aspero
De motu corporum super plano horizontali aspero
Methodus integrandi formulas differentiales rationales unicam variabilem involventes
Methodus facilior atque expeditior integrandi formulas differentiales rationales
Theoremata circa divisores numerorum in hac forma paa ± qbb contentorum
De motu corporum flexibilium
De reductione linearum curvarum ad arcus circulares
Solutio problematis difficillimi a Fermatio propositi
De la controverse entre Mrs. Leibniz et Bernoulli sur les logarithmes des nombres negatifs et imaginaires
Sur le point de rebroussement de la seconde espece de M. le Marquis de l'Hopital
Recherches sur les racines imaginaires des equations
Recherches sur la precession des equinoxes st sur la nutation de l'axe de la terre
De la parallaxe de la lune tant par rapport a sa hauteur qu'a son azimuth, dans l'hypothese de la terre spheroidique. Mar M. Euler
Nova methodus inveniendi traiectorias reciprocas algebraicas
De motu corporum flexibilium
Decouverte d'une loi tout extraordinaire des nombres par rapport a la somme de leurs diviseurs
Expose concernant l'examen de la lettre de M. de Leibnitz alleguee par M. le Professeur Koenig, dans le mois de mars, 1751 des Actes de Leipzig, a l'occasion du principe de la moindre action
Decouverte d'un nouveau principe de Mecanique
Reflexions sur les divers dégrés de lumière du soleil et des autres corps celestes
Recherches sur l'effet d'un machine hydraulique proposee par M. Segner, professeur a Goettingue
Avertissement au sujet des recherches sur la precession des equinoxes
Recherches sur l'origine des forces
Lettre de M. Euler a M. Merian
Part of a Letter from Leonard Euler, Prof. Math. at Berlin, and F.R.S. To the Rev. Mr. Caspar Wetstein, Chaplain to his Royal Highness the Prince of Wales, concerning the gradual Approach of the Earth to the Sun.
Part of a Letter from Mr. Professor Euler to the Reverend Mr. Wetstein, Chaplain to his Royal Highness the Prince, concerning the Contraction of the Orbits of the Planets.
Praefatio Euleri ad opus Examen temporum mediorum secundum principia astronomica et Chronologica institutum ab Henrico Guilielmo Clemm. Berolini 1752
Dissertation sur le principe de la moindre action, avec l'examen des objections de M. le Professeur Koenig faites contre ce principe. 186=198+199
Theoria motus lunae exhibens omnes eius inaequalitates. In additamento hoc idem argumentum aliter tractatur simulque …
Methodus aequationes differentiales altiorum graduum integrandi ulterius promota
De serierum determinatione seu nova methodus inveniendi terminos generales serierum
Consideratio quarumdam serierum, quae singularibus proprietatibus sunt praeditae
De partitione numerorum
Solutio problematis geometrici
De perturbatione motus planetarum ab eorum figura non sphaerica oriunda
De machinis in genere
De motu tautochrono pendulorum compositorum
Emendatio laternae magicae ac microscopii solaris
Harmonie entre les principes generaux de repos et de mouvement de M. de Maupertuis
Sur le principe de la moindre action
Examen de la dissertation de M. le Professeur Koenig, inseree dans les actes de Leipzig, pour le mois de mars 1751
Essay d'une demonstration metaphysique du principe general de l'equilibre
Calcul de la probabilite dans le jeu de rencontre
Application de la machine hydraulique de M. Segner a toutes sortes d'ouvrages et de ses avantages sur les autres machines hydrauliques dont on se sert ordinairement
Recherche sur une nouvelle maniere d'elever de l'eau proposee par m. de Mour
Extract of a Letter from Professor Euler, of Berlin, to the Rev. Mr. Caspar Wetstein, Chaplain to Her Royal Highness the Princess Dowager of Wales.
Atlas Geographicus, Praefatio
Sur le mouvement de l'eau par des tuyaux de conduite
Discussion plus particuliere de diverses manieres d'elever de l'eau par le moyen des pompes avec le plus grand avantage
Maximes pour arranger le plus avantageusement les machines destinees a elever de l'eau par le moyen des pompes
Essai d'une explication physique des couleurs engendrees sur des surfaces extremement minces
Letters relating to a Theorem of Mr. Euler, of the Royal Academy of Sciences at Berlin, and F.R.S. for correcting the Aberrations in the Object-Glasses of refracting Telescopes.
Problema, ad cuius solutionem geometrae invitantur; theorema, ad cuius demonstrationem geometrae invitantur
Institutiones calculi differentialis cum eius usu in analysi finitorum ac doctrina serierum, volume 1
Remarques sur les memoires precedens de M. Bernoulli
Principes de la trigonometrie spherique tires de la methode des plus grands et plus petits
Elemens de la trigonometrie spheroidique tires de la methode des plus grands et plus petits
Examen d'une controverse sur la loi de refraction des rayons de differentes couleurs par rapport a la diversite des milieux transparens par lesquels ils sont transmis
Recherches sur la veritable courbe que decrivent les corps jettes dans l'air ou dans un autre fluide quelconque
Brief von L. Euler an E Pontoppidan vom 11. Mai 1754
De la refraction de la lumiere en passant par l'atmosphere selon les divers degres tant de la chaleur que de l'elasticite de l'air
Reflexions sur un probleme de geometrie traite par quelques geometres et qui est neanmoins impossible
Recherches physiques sur la diverse refrangibilite des rayons de lumiere
Theorie plus complette des machines qui sont mises en mouvement par la reaction de l'eau
De la variation de la latitude des etoiles fixes et de l'obliquite de l'ecliptique
Avertissement
Principes generaux de l'etat d'equilibre des fluides
Principes generaux du mouvement des fluides
Continuation des recherches sur la theorie du mouvement des fluides
De numeris, qui sunt aggregata duorum quadratorum
De constructione aptissima molarum alatarum
Elementa doctrinae solidorum
Demonstratio nonnullarum insignium proprietatum, quibus solida hedris planis inclusa sunt praedita
De motu corporum coelestium a viribus quibuscunque perturbato
Recherches plus exactes sur l'effet des moulins a vent
Experiences pour determiner la refraction de toutes sortes de liqueurs transparentes
Sur l'action des scies
Exposition de quelques paradoxes dans le calcul integral
Recherches sur la declinaison de l'aiguille aimantee.
Sur la force des colonnes
Regles generales pour la construction des Telescopes et des Microscopes, de quelque nombre de verres qu'ils soient composes
Recherches sur les lunettes a trois verres qui representent les objets renverses
Demonstratio theorematis Fermatiani omnem numerum primum formae 4n+1 esse summam duorum quadratorum
Demonstratio theorematis Fermatiani omnem numerum sive integrum sive fractum esse summam quatuor pauciorumve quadratorum
Observatio de summis divisorum
Demonstratio theorematis circa ordinem in summis divisorum observatum
De methodo Diophanteae analoga in analysi infinitorum
Subsidium calculi sinuum
De seriebus divergentibus
De cochlea Archimedis
De aptissima figura rotarum dentibus tribuenda
Methodus inveniendi infinitas curvas isoperimetras aliave communi proprietate praeditas
De integratione aequationis differentialis (m dx)/√(1-x4) = (n dy)/√(1-y4)
Observationes de comparatione arcuum curvarum irrectificibilium
De problematibus indeterminatis, quae videntur plus quam determinata
De expressione integralium per factores
Solutio generalis quorundam problematum Diophanteorum, quae vulgo nonnisi solutiones speciales admittere videntur
Specimen de usu observationum in mathesi pura
De frictione corporum rotantium
Principia motus fluidorum
De motu et reactione aquae per tubos mobiles transfluentis
Tentamen theoriae de frictione fluidorum
Specimen alterum methodi novae quantitates transcendentes inter se comparandi; de comparatione arcuum ellipsis
Theoremata circa residua ex divisione potestatum relicta
Specimen novae methodi curvarum quadraturas et rectificationes aliasque quantitates transcendentes inter se comparandi
Demonstratio theorematis et solutio problematis in actis erud. Lipsiensibus propositorum
De aequationibus differentialibus secundi gradus
Constructio lentium obiectivarum ex duplici vitro quae neque confusionem a figura sphaerica oriundam neque dispersionem colorum pariant
Extrait d'une lettre de M. Euler ecrite a M. Du Hamel le 3 Fevrier 1756
Lettre de M. Euler a M. de la Grange
De integratione aequationum differentialium
Solutio problematis de investigatione trium numerorum, quorum tam summa quam productum nec non summa productorum ex binis sint numeri quadrati
Theoremata arithmetica nova methodo demonstrata
Supplementum quorundam theorematum arithmeticorum, quae in nonnullis demonstrationibus supponuntur
Consideratio formularum, quarum integratio per arcus sectionum conicarum absolvi potest
Constructio aequationis differentio-differentialis Ay du2 + (B+Cu)du dy + (D+Eu+Fuu)ddy = 0, sumto elemento du constante
Annotationes in locum quendam Cartesii ad circuli quadraturam spectantem
Dilucidationes de resistentia fluidorum
Principia theoriae machinarum
De motu et attritu lentium dum super catinis poliuntur
De resolutione formularum quadricarum indeterminatarum per numeros integros
De progressionibus arcuum circularium, quorum tangentes secundum certam legem procedunt
Specimen algorithmi singularis
De resolutione aequationum cuiusvis gradus
De numeris primis valde magnis
De resolutione aequationis dy + ayy dx = bxm dx
Investigatio functionum ex data differentialium conditione
De motu vibratorio fili flexilis, corpusculis quotcunque onusti
De motu vibratorio cordarum inaequaliter crassarum
Cogitationes de aggeribus construendis
Theoria motus corporum solidorum seu rigidorum
Geometrija dlja upotreblenija w akademitscheskoj gimnasii [russian]
Recherches sur la connoisance mechanique des corps
Du mouvement de rotation des corps solides autour d'un axe variable
Remarques generales sur le mouvement diurne des planetes
Remarques de M. Euler sur quelques passages qui se trouvent dans le troisieme volume des opuscules mathematiques de M. d'Alembert
De reductione formularum integralium ad rectificationem ellipsis ac hyperbolae
Elementa calculi variationum
Analytica explicatio methodi maximorum et minimorum
De insigni promotione methodi tangentium inversae
Dilucidationes de tautochronis in medio resistente
Demonstratio theorematis Bernoulliani quod ex evolutione curvae cuiuscunque rectangulae in infinitum continuata tandem cycloides nascantur
De motu corporis ad duo centra virium fixa attracti
De motu vibratorio tympanorum
Tentamen de sono campanarum
Considerationes de motu corporum coelestium
De la propagation du son
Supplement aux recherches sur la propagation du son
Continuation des recherches sur la propatation du son
Recherches sur le mouvement de rotation des corps celestes
Solution d'une question curieuse que ne paroit soumise a aucune analyse
Nouvelle methode d'eliminer les quantites inconnues des equations
Recherches sur les microscopes simples et les moyens de les perfectionner
Recherches sur les microscopes a trois verres et les moyens de les perfectionner
Sur l'avantage du banquier au jeu de Pharon
Conjecture sur la raison de quelques dissonances generalement recues dans la musique
Du veritable caractere de la musique moderne
Des lunettes a trois verres qui representent les objets debout
Eclaircissemens sur le mouvement des cordes vibrantes
Recherches sur le mouvement des cordes inegalement grosses
Recherches sur l'integration de l'equation (ddz/dt2)=aa(ddz/dx2)+(b/x)(dz/dx) + (c/xx)z
Recherches sur la construction des nouvelles lunettes a 6 et 6 verres et leur perfection ulterieure
Observationes circa integralia formularum ∫ xp-1dx(1-xn)q/n-1 posito post integrationem x = 1
De usu functionum discontinuarum in analysi
De usu novi algorithmi in problemate Pelliano solvendo
Proprietates triangulorum, quorum anguli certam inter se tenent rationem
Solutio facilis problematum quorundam geometricorum difficillimorum
Observationes analyticae
De motu rectilineo trium corporum se mutuo attrahentium
De motu corporis ad duo centra virium fixa attracti
De phaenomenis coeli per segmenta sphaerica diaphana spectati
Supplementum de figura dentium rotarum
De motu fluidorum a diverso caloris gradu oriundo
Recherches sur le mouvement des rivieres
Recherches sur la courbure des surfaces
Recherches generales sur la mortalite et la multiplication du genre humain
Sur les rentes viageres
Du mouvement d'un corps solide quelconque lorsq'il tourne autour d'un axe mobile
Probleme. Un corps etant attire en raison reciproque quarree des distances vers deux points fixes donnes trouver les cas ou la courbe decrite par ce corps sera algebrique, resolu par M. Euler
Sur la probabilte des sequences dans la lotterie Genoise
Sur le mouvement d'un corde, que au commencement n'a ete ebranlee que dans un partie
Éclaircissemens plus détaillés sur la génération et la propagation du son et sur la formation de l'écho
Nachricht von einem neuen Mittel zur Vermehrung des Getreides
Institutionum calculi integralis volumen primum
Lettres a un princesse d'Allemagne sur divers sujets de physique & de philosophie
Lettres a un princesse d'Allemagne sur divers sujets de physique & de philosophie
Integratio aequationis dx/√(A+Bx+Cx2+Dx3+Ex4) = dy/√(A+By+Cy2+Dy3+Ey4)
De arcubus curvarum aeque amplis earumque comparatione
Evolutio generalior formularum comparationi curvarum inservientium
Methodus facilis motus corporum coelestium utcunque perturbatos ad rationem calculi astronomici revocandi
Disquitio de vera lege refractionis radiorum diversicolorum
De novo microscopiorum genere ex sex lentibus composito
De telescopiis quatuor lentibus instructis eorumque perfectione
Remarques sur un beau rapport entre les series des puissances tant directes que reciproques
Recherches sur la confusion des verres dioptriques causee par leur ouverture
Recherches sur les moyens de diminuer ou de réduire même à rien la confusion causée par l'ouverture des verres
Nouvelle manière de perfectionner les verres objectifs des lunettes
Détermination du champ apparent que découvrent tant les télescopes que les microscopes
Regles generales pour la construction des telescopes et des microscopes
Sur la perfection des lunettes astronomiques qui representent les objets renverses
Construction des objectifs composés de deux différentes sortes de verre qui ne produisent aucune confusion, ni par leur overture, ni par la différente réfrangibilité des rayons, avec la manière la plus advantageuse d'en faire des lunettes
Construction des objectifs composes propre a detruire toute la confusion dans les lunettes
Reflexions sur la maniere d'examiner la refraction du verre par le moyen des prismes
Corrections necessaires pour la theorie de la declinaison magnetique, proposee dans le XIII volume des Memoires.
Precis d'une theorie generale de la dioptrique
Lettre ecrite a l'academie royale des sciences de Berlin
Extraits de quelques lettres d'Euler a d'Alembert
Institutionum calculi integralis volumen secundum
Dioptricae pars prima continens lubrum primum de explicatione principiorum, ex quibus constructio tam telescopiorum quam microscopiorum est petenda
De curva hypergeometrica hac aequatione expressa y = 1*2*3*...*x
Quomodo numeri praemagni sint explorandi, utrum sint primi necne
Nova criteria radices aequationum imaginarias discoscendi
Considerationes de theoria motus Lunae perficienda et imprimis de eius variatione
Annotatio quarundam cautelarum in investigatione inaequalitatum quibus corpora coelestia in motu perturbantur observandarum
Investigatio accuratior phaenomenorum quae in motu terrae diurno a viribus coelestibus produci possunt
De aequilibrio et motu corporum flexuris elasticis iunctorum
Sectio prima de statu aequilibrii fluidorum
Considerations sur les difficultes qu'on rencontre dans l'execution des verres objectifs de toute confusion
Recherches sur les telescopes a reflexion et les moyens de les perfectionner
Recherches sur un autre construction des telescopes a reflexion
Sur la confusion que cause dans les instrumens dioptriques la diverse refrangibilite des rayons
Considérations sur les nouvelles lunettes d'Angleterre de Mr. Dollond et sur le principe qui en est le fondement
Sur les avantages des verres objectifs composes de deux verres simples
Remarques sur l'effet du frottement dans l'equilibre
Methode pour porter les verres objectifs des lunettes a un plus haut degre de perfection
Recherches sur les inegalites de Jupiter et de Saturne
Institutionum calculi integralis volumen tertium
Dioptricae pars secunda continens lubrum secundum de constructione telescopiorum dippticorum cum appendice de constructione telescopiorum catoptico-dioptricorum
Vollstandige Anleitung zur Algebra, book 1
Vollstandige Anleitung zur Algebra, book 2
Recherches et calculs sur la vraie orbite elliptique de le comete de l'an 1769 et son tems periodique
Considerationes de traiectoriis orthogonalibus
De formulis integralibus duplicatis
Evolutio insignis paradoxi circa aequalitatem superficierum
De summis serierum numeros Bernoullianos involventium
De partitione numerorum in partes tam numero quam specie datas
De inventione quotcumque mediarum proportionalium citra radicum extractionem
Sectio secunda de principiis motus fluidorum
Expositio methodorum, cum pro determinanda parallaxi solis ex observato transitu Veneris per solem, tum pro inveniendis longitudinibus locorum super terra, ex observationibus eclipsium solis, una cum calculis et conclusionibus inde deductis
Nouvelle methode de determiner les derangemens dans le mouvement des corps celestes, causes par leur action mutuelle.
Reflexions sur les diverses manieres dont on peut representer le mouvement de la lune
Considerations sur le probleme des trois corps.
Nouvelle maniere de comparer les observations de la lune avec la théorie.
Du mouvement des absides des satellites de Jupiter
Des Herrn Leonhard Eulers nothige Berechnung zur Einrichtung einer Witwencasse
Dioptricae pars tertia, continens librum tertium, de constructione microscopiorum tam simplicium, quam compositorum
Solutio problematis, quo duo quaeruntur numeri, quorum productum tam summa quam differentia eorum sive auctum sive minutum fiat quadratum
Observationes circa radices aequationum
Problema algebraicum ob affectiones prorsus singulares memorabile
De curva rectificabili in superficie sphaerica
Sectio tertia de motu fluidorum lineari potissimum aquae
Genuina principia doctrinae de statu aequilibrii et motu corporum tam perfecte flesibilium quam elasticorum
De ictu glandium contra tabulam explosarum
Solution d'une question très difficile dans le calcul des probabilités
De promotione navium sine vi venti (Memoire sur la manier de suppleer a l'action du vent)
Investigatio perturbationum quibus planetarum motus ob actionem eorum mutuam afficiuntur.
Sur le roulis et le tangage
Meditationes in quaestionem utrum motus medius planetarum semper maneat aeque velox, an successu temporis quampiam mutationem patiatur? & quaenam sit ejus causa? …
Lettres a une princess d'Allemagne sur divers sujets de physique & de philosophie Tome troisieme A Saint Petersbourg de l'imprimerie de l'academie imperiale des sciences MDCCLXXII
Theoria motuum lunae
De solidis quorum superficiem in planum explicare licet
Methodus nova et facilis calculum variationum tractandi
Evolutio formulae integralis ∫ x f-1 dx (lx)m/n integratione a valore x = 0 ad x = 1 extensa
Problematis cuiusdam geometrici prorsus singularis evolutio
Considerationes cyclometricae
Sectio quarta de motu aeris in tubis
De perturbatione motus terrae ab actione Veneris oriunda
Theorie complete de la construction et de la manoeuvre des vaisseaux
Problematis cuiusdam Diophantei evolutio
Observationes circa bina biquadrata, quorum summam in duo alia biquadrata resolvere liceat
De variis integrabilitatis generibus
Observationes circa aequationem differentialem y dy + My dx + N dx = 0
Consideratio aequationis differentio-differentialis (a+bx)ddz + (c+ex)(dxdz/x) + (f+gx)(zdx2/xx) = 0
Exercitationes analyticae
Digressio de traiectoriis tam orthogonalibus quam obliquangulis
De collisione corporum gyrantium
De collisione corporum pendulorum, tam obliqua, quam motu gyratorio perturbata
De vera tautochrona in fluido
De tautochrona in medio rarissimo, quod resistit in ratione multiplicata quacunque celeritatis
Dilucidationes de tautochronismo
De chordis vibrantibus disquisitio ulterior
Animadversiones in solutionem Bernoullianam de motu chordarum ex duabus partibus diversae crassitiei compositarum Tomo XVI Novorum Commentariorum
De motu vibratorio chordarum ex partibus quotcunque diversae crassitiei compositarum
De motu vibratorio chordarum crassitie utcunque variabili praeditarum
De motu vibratorio laminarum elasticarum, ubi plures novae vibrationum species hactenus non pertractatae evolvuntur
De motu gravium citissimo super curvis specie datis
Novae demonstrationes circa resolutionem numerorum in quadrata
Instruction detaillee pour porter les lunettes de toutes les differentes especes au plus haut degre de perfection dont elles sont susceptibles
Summatio progressionum
sin(φλ) + sin(2φλ) + sin(3φλ) + ... + sin(nφλ);
cos(φλ) + cos(2φλ) + cos(3φλ) + ... + cos(nφλ).
Nova series infinita maxime convergens perimetrum ellipsis exprimens
Demonstrationes circa residua ex divisione potestatum per numeros primos resultantia
Nova ratio quantitates irrationales proxime exprimendi
Solutio problematis de inveniendo triangulo, in quo rectae ex singulis angulis latera opposita bisecantes sint rationales
Resolutio aequationis Ax2 + 2Bxy + Cy2 + 2Dx + 2Ey + F = 0 per numeros tam rationales quam integros
Insignes proprietates serierum sub hoc termino generali contentarum x = (1/2)(a+b/√k)(p+q√k)n + (1/2)(a-b/√k)(p-q√k)n
De resolutione irrationalium per fractiones continuas, ubi simul nova quaedam et singularis species minimi exponitur
Determinatio motus oscillatorii in praecedente dissertatione pertracti, ex primis mechanicae principiis petita
De pressione ponderis in planum cui incumbit
De harmoniae veris principiis per speculum musicum repraesentatis
Nova methodus motus planetarum principalium ad tabulas astronomicas reducendi
Disquisitio de lentibus obiectivis triplicatis, quae vel nullam confusionem pariant vel etiam datam confusionem a reliquis lentibus ortam destruere valeant
De applicatione lentium obiectivarum compositarum ad omnis generis telescopia
Extrait d'un lettre de M. Euler le pere a M. Bernoulli concernant le memoire imprime parmi ceux de 1771 p 318
De valore formulae integralis ∫ (xm-1 ± zm-n-1)/(1 ± zn) dz casu quo post integrationem ponitur z = 1
De valore formulae integralis ∫ (zλ-ω ± zλ+ω)/(1 ± z2λ)(dz/z)(lz)μ casu quo post integrationem ponitur z = 1
Nova methodus quantitates integrales determinandi
Demonstratio theorematis Neutoniani de evolutione potestatum binomii pro casibus, quibus exponentes non sunt numeri integri
Problema Diophanteum singulare
De tabula numerorum primorum usque ad millionem et ultra continuanda, in qua simul omnium numerorum non primorum minimi divisores exprimantur
De oscillationibus minimis penduli quotunque pondusculis onusti
De motu oscillatorio binarum lancium ex libra suspensarum
Explicatio motus oscillatorii mirabilis in libra maiore observati
De motu turbinatorio chordarum musicarum; ubi simul universa theoria aequilibrii quam motus corporum flexibilium simulque etiam elasticorum breviter explicatur
Commentatio hypothetica de periculo a nimia cometae approponquatione metuendo
Eclarcissemens sur les etablissemens publics en faveur tant des veuves que des morts, avec la description d'une nouvelle espece de Tontine aussi favorable au Public qu'utile a l'Etat. …
Solutio quorundam problematum Diophanteorum
Speculationes analyticae
Observationes circa novum et singulare progressionum genus
Meditationes circa singulare serierum genus
Formulae generales pro translatione quacunque corporum rigidorum
Nova methodus motum corporum rigidorum degerminandi
Regula facilis pro diiudicanda firmitate pontis aliusve corporis similis excognita firmitate moduli
De gemina methodo tam aequilibrium quam motum corporum flexibilium determinandi et utriusque egregio consensu
De pressione funium tensorum in corpora subiecta eorumque motu a frictione impedito. Ubi praesertim methodus traditur …
De traiectu citissimo stellae per duos circulos almucantarath datos pro qualibet elevatione poli.
De circulo maximo fixo in coelo constituendo, ad quem orbitae planetarum et cometarum referantur.
Reponse a la question proposee par l'academie royale des sciences de Paris, pour l'annee 1770.
Reponse a la question proposee par l'academie royale des sciences de Paris, pour l'annee 1772.
Reflections de M. L. Euler sur quelques nouvelles experiences optiques, communiquees a l'academie des sciences, par Mr. Wilson
Observationes in praecedentem dissertationem illustris Bernoulli
De formulis exponentialibus replicatis
De repraesentatione superficiei sphaericae super plano
De proiectione geographica superficiei sphaericae
De proiectione geographica Deslisliana in mappa generali imperii russici usitata
Vera theoria refractionis et dispersionis radiorum rationibus et experimentis confirmata
De figura quam ventus fluido stagnanti inducere valet
Considerationes super problemate astronomico in tomo commentarior. veter. IV. Pertractato.
De figura apparente annuli Saturni pro eius loco quocunque respectu terrae.
De apparitione et disaparitione annuli Saturni.
Extrait d'un lettre de M. Euler a M. Beguelin en mai 1778
De integratione formulae ∫ (dx lx)/√(1-xx) ab x = 0 ad x = 1 extensa
De valore formulae integralis ∫ ((xa-1 dx)/lx)(1-xb)(1-xe)/(1-xn) a termino x = 0 usque ad x = 1 extensae
Considerationes circa brachystochronas
Sur l'effet de la refraction dans les observations terrestres
De motu oscillatorio penduli cuiuscunque, dum arcus datae amplitudinis absolvit
De Theoria Lunae ad maiorem perfectionis gradum evehenda
De corporibus regularibus per doctrinam sphaericam determinatis; ubi simul nova methodus globos sive coelestes sive terrestres charta obducendi traditur
Dilucidationes super methodo elegantissima, qua illustris de la Grange usus est in integranda aequatione differentiali dx/√X = dy/√Y
De infinities infinitis gradibus tam infinite magnorum quam infinite parvorum
Determinatio onerum, quae columnae gestare valent
Examen insignis paradoxi in theoria columnarum occurentis
De altitudine columnarum sub proprio pondere corruentium
Reflexions sur les inegalites dans le mouvement de la Terre causees par l'action de Venus; avec un Table des corrections du Lieu de la Terre
Investigatio perturbationum quae in motu terrae ab actione Veneris producunter: cum tabula perturbationum istarum
De curvis triangularibus
De mensura angulorum solidorum
De casibus quibusdam maxime memorabilibus in analysi indeterminata, ubi imprimis insignis usus calculi angulorum in analysi Diophantea ostenditur
De motu oscillatorio duorum corporum ex filo super trochleas traducto suspensorum
De problemate quodam mechanico, satis obvio, at solutu difficillimo
Solutio gemina problematis, quo motus corporis, filo alicubi alligati, super plano horizontali quaeritur
Nova methodus motum planetarum determinandi
Essai d'une theorie de la resistance qu'eprouve la proue d'un vaisseau dans son mouvement
Theoremes analytiques. Extraits de differents lettres de M. Euler a M. le Marquis de Condorcet
De formatione fractionum continuarum
De tribus numeris quadratis, quorum tam summa quam summa productorum ex binis sit quadratum
Trigonometria sphaerica universa, ex primis principiis breviter et dilucide derivata
De motu oscillatorio mixto plurium pendulorum ex eodem corpore mobili suspensorum
Investigatio motuum, quibus laminae et virgae elasticae contremiscunt
Conjectura circa naturam aeris, pro explicandis phaenomenis in atmosphaera observatis.
Annotatio in praecendentem dissertationem.
Theoria parallaxeos, ad figuram terrae sphaeroidicam accomodata
Recherches sur un nouvelle espece de quarres magiques
Opuscula analytica. Tomus primus. Petropoli typis academiae imperialis scientiarum MDCCLXXXIII.
De serie Lambertine plurimisque eius insignibus proprietatibus
De motu oscillatorio pendulorum ex filo tenso dependentium
Dilucidationes super aliquot casus aequilibrii difficiliores
Determinatio omnium motuum, quos chorda tensa et uniformiter crassa recipere potest
De proprietatibus triangulorum mechanicis
De figura curvae elasticae contra obiectiones quasdam Illustris d'Alembert
Cautiones necessariae in determinatione motus planetarum observandae
Supplementum calculi integralis pro integratione formularum irrationalium
Nova methodus fractiones quascumque rationales in fractiones simplices resolvendi
Evolutio producti infiniti (1-x)(1-xx)(1-x3)(1-x4)(1-x5) etc. in seriem simplicem
De mirabilibus proprietatibus numerorum pentagonalium
Problematis cuiusdam Pappi Alexandrini constructio
De motu libero plurium corporum filis colligatorum super plano horizontali
De vi fluminis ad naves sursum trahendas applicanda
De statu aequilibrii maris a viribus solis et lunae sollicitati.
Determinatio facilis orbitae cometae, cuius transitum per eclipticam bis observare licuit
De variis motuum generibus, qui in satellitibus planetarum locum habere possunt.
De motibus maxime irregularibus, qui in systemate mundano locum habere possent, una cum methodo hujusmodi motus per temporis spatium quantumvis magnum prosequendi.
De seriebus, in quibus producta ex minis terminis contiguis datam constituunt progressionem
Varia artificia in serierum indolem inquirendi
Observationes circa divisionem quadratorum per numeros primos
Observationes analyticae
Disquitio accuratior circa residua ex divisione quadratorum altiorumque potestatum per numeros primos relicta
De eximio usu methodi interpolationum in serierum doctrina
De criteriis aequationis fxx + gyy = hxx, utrum ea resolutionem admittat necne?
De quibusdam eximiis proprietatibus circa divisores potestatum occurrentibus
Proposita quacunque protressione ab unitate incipiente, quaeritur quot eius terminos a dminimum addi oporteat, ut omnes numeri producantur
Nova subsidia pro resolutione formulae axx + 1 = yy
Miscellanea analytica
Variae observationes circa angulos in progressione geometrica progredientes
Quomodo sinus et cosinus angulorum multiplorum per producta exprimi queant
De ellipsi minima dato parallelogrammo rectangulo circumscribenda
Speculationes circa quasdam insignes proprietates numerorum
De plurimis quantitatibus transcendentibus, quas nullo modo per formulas integrales exprimere licet
De inductione ad plenam certitudinem evehenda
Dilucidationes de motu chordarum inaequaliter crassarum
De motu penduli circa axem cylindricum, fulcro datae figurae incumbentem, mobilis. Remota frictione
De motu penduli circa axem cylindricum, fulcro datae figurae incumbentem, mobilis. Habita frictionis ratione
De inventione longitudinis locorum ex observata lunae distantia a quadam stella fixa cognita.
De eclipsibus solaribus in superficie terrae per proiectionem repraesentandis.
Nova methodus integrandi formulas differentiales rationales sine subsidio quantitatum imaginariarum
De duplici genesi tam epicycloidum quam hypocycloidum
De curvis rectificabilibus in superficie coni recti ducendis
De mirabilibus proprietatibus unciarum, quae in evolutione binomii ad potestatem quamcunqua evecti occurrunt
De oscillationibus minimis funis libere suspensi
De perturbatione motus chordarum ab earum pondere oriunda
De perturbatione motus planetarum et cometarum.
Calculs sur les ballons aerostatiques, faits par le feu M. Euler, tels qu'on les a trouves sur son ardoise, apres sa mort arrivee le 7 septembre 1783
Opuscula analytica. Tomus secundus. Petropoli typis academiae imperialis scientiarum MDCCLXXXV.
Plenior explicatio circa comparationem quantitatum in formula integrali ∫ (Z dz)/√(1+mzz+nz4) contentarum denotante Z functionem quamcunque rationalem ipsius zz
Uberior evolutio comparationis, quam inter arcus sectionum conicarum instituere licet
De numero memorabili in summatione progressionis harmonicae naturalis occurrente
De insignibus proprietatibus unciarum binomii ad uncias quorumvis polynomiorum extensis
De effectu frictionis in motu volutorio
Considerationes super theoremate Fermatiano de resolutione numerorum in numeros polygonales
Observation in aliquot theoremata illustrissimi de la Grange
Investigatio formulae integralis ∫ (xm-1 dx)/(1+xk)n casu, quo post intagrationem statuitur x = ¥
Investigatio valoris integralis ∫ (xm-1 dx)/(1-2xkcosθ+x2k) a termino x = 0 ad x = ¥ extensi
Theoremata quaedam analytica, quorum demonstratio adhuc desideratur
De relatione inter ternas pluresve quantitates instituenda
De resolutione fractionum transcendentium in infinitas fractiones simplices
De transformatione serierum in fractiones continuas, ubi simul haec theoria non mediocriter amplificatur
Methodus inveniendi formulas integrales, quae certis casibus datam inter se teneant rationem, ubi sumul methodus traditur fractiones continuas summandi
Summatio fractionis continuae cuius indices progressionem arithmeticam constituunt dum numeratores omnes sunt unitates ubi simul resolutio aequationis Riccatianae per huiusmodi fractiones docetur
De summa seriei ex numeris primis formatae 1/3 - 1/5 + 1/7 + 1/11 - 1/13 ... ubi numeri primi formae 4n-1 habent signum positivum, formae autem 4n+1 signum negativum
De seriebus potestatum reciprocis methodo nova et facillima summandis
De insigni promotione scientiae numerorum
Solutio quaestionis ad calculum probabilitatis pertinentis: Quantum duo coniuges persolvere debeant, ut suis haeredibus post utriusque mortem certa argenti summa persolvatur
Solutio quarundam quaestionum difficiliorum in calculo probabilium
De symptomatibus quatuor punctorum, in eodem plano sitorum
Methodus facilis omnia symptomata linearum curvarum non in eodem plano sitarum investigandi
De descensu baculi super hypomochlio cylindro fixo delabentis
De traiectoriis reciprocis tam rectangulis quam obliquangulis
De miris proprietatibus curvae elasticae sub aequatione y = ∫ (xx dx)/√(1-x4)
Speculationes super formula integrali ∫ (xndx)/√(aa-2bx+cxx), ubi simul egregiae observationes circa fractiones continuas occurrunt
De motu globi circa axem obliquum quemcunque gyrantis et super plano horizontali incedentis
Accuratior evolutio formularum pro filorum flexibilium aequilibrio et motu inventarum
Considerationes super traiectoriis tam rectangulis quam obliquangulis
Novae demonstrationes circa divisores numerorum formae xx + nyy
Investigatio curvarum quae similes sint suis evolutis vel primis vel secundis vel tertiis vel adeo ordinis cuiuscunque
De motu globi heterogenei super plano horizontali, una cum dilucidationibus necessariis super motu vacillatorio
Dilucidationes in capita postrema calculi mei differentalis de functionibus inexplicabilibus
Commentatio de curvis tractoriis
De curvis tractoriis compositis
De transformatione seriei divergentis 1 - mx + m(m+n)x2 - m(m+n)(m+2n)x3 + etc. in fractionem continuam
De summatione serierum, in quibus terminorum signa alternantur
Consideratio motus singularis, qui in filo perfecte flexili locum habere potest
Enodatio difficultatis super figura terrae a vi centrifuga oriunda.
Methodus facilis inveniendi integrali huius formulae ∫ (dx/x)(xn+p - 2xncosζ + xn-p)/(x2n - 2xncosθ + 1) casu quo post integrationem ponitur vel x = 1 vel x = ¥
De summo usu calculi imaginariorum in analysi
Specimen singulare analyseos infinitorum indeterminatae
De lineis rectificabilibus in superficie sphaeroidica quacunque geometrice ducendis
De superficie coni scaleni, ubi imprimis intentes difficultates, quae in hac investigatione occurrunt, perpenduntur
De viribus centripetis, ad curvas non in eodem plano sitas describendas, requisitis
De motu trium corporum se mutuo attrahentium super eadem linea recta.
Solutio problematis mechanici
Eclaircissemens sur le memoire de Mr de La Grange insere dans le V volume des Melanges de Turin, concernant la methode de prendre le milieu entre les resultats de plusiers observations etc.
Evolutio formulae integralis ∫ dx(1/(1-x) + 1/(lx)) a termino x = 0 ad x = 1 extensae
Uberior explicatio methodi singularis nuper expositae integralia alias maxime abscondita investigandi
Analysis facilis et plana ad eas series maxime abstrusas perducens, quibus omnium aequationum algebraicarum non solum radices ipsae sed etiam quaevis earum potestates exprimi possunt
De innumeris generibus serierum maxime memorabilium, quibus omnium aequationum algebraicarum non solum radices ipsae sed etiam quaecumque earum potestates exprimi possunt
De binis curvis algebraicis inveniendis, quarum arcus indefinite inter se sint aequales
De motu oscillatorio tabulae suspensae et a vento agitatae
Innumera theoremata circa formulas integrales, quorum demonstratio vires analyseos superare videatur
De multiplicatione angulorum per factores expedienda
Nova demonstratio, quod evolutio potestatum binomii Newtoniana etiam pro exponentibus fractis valeat
De innumeris curvis algebraicis, quarum longitudinem per arcus parabolicos metiri licet
De innumeris curvis algebraicis, quarum longitudinem per arcus ellipticos metiri licet
Comparatio valorum formulae integralis ∫ (xp-1 dx)/(n√((1-xn)n-q)) a termino x = 0 usque ad x = 1 extensae
De motu quodam maxime memorabili, satis quidem simplici, at solutu difficillimo
De singulari ratione differentiandi et intagrandi, quae in summis serierum occurrit
Methodus generalis investigandi radices omnium aequationum per approximationem
Innumerae aequationum formae ex omnibus ordinibus, quarum resolutio exhiberi potest
De curvis algebraicis, quarum longitudo exprimitur hac formula integrali ∫ (vm-1 dv)/√(1-v2n)
De duabus pluribusve curvis algebraicis in quibus si a terminis fixis aequales arcus abscindantur eorum amplitudines datam inter se teneant rationem
De methodo tangentium inversa ad theoriam solidorum translata
Solutio facilis problematis, quo quaeritur circulus, qui datos tres circulos tangat
De motu oscillatorio penduli circa axem cylindricum plano horizontali incumbentem
De formulis differentialibus quae per duas pluresve quantitates datas multiplicatae fiant integrabiles
Quatuor theoremata maxime notatu digna in calculo integrali
De termino generali serierum hypergeometricarum
De iterata integratione formularum integralium, dum aliquis exponens pro variabili assumitur
Methodus facilis investigandi radium osculi ex principio maximorum et minimorum petita
Observationes generales circa series, quarum termini secundum sinus vel cosinus angulorum multiplorum progrediuntur
De integrationibus maxime memorabilibus ex calculo imaginariorum oriundis
Supplementum ad dissertationem praecedentem circa integrationem vormulae ∫ (zm-1 dz)/(1-zn) casu quo ponitur z = v(cos(φ) + √(-1) sin(φ))
De momentis virium respectu axis cuiuscunque inveniendis; ubi plura insignia symptomata circa binas rectas, non in eodem plano sitas, explicantur
Methodus facilis omnium virium momenta respectu axis cuiuscunque determinandi
Institutionum calculi integralis volumen quartum, continens supplementa partim inedita partim jam in operibus academiae imperialis scientiarum Petropolitanae impressa.
Variae considerationes circa series hypergeometricas
De vero valore formulae integralis ∫ dx(l(1/x))n a termino x = 0 usque ad terminum x = 1 extensae
Plenior expositio serierum illarum memoragilium, quae ex unciis potestatum binomii formantur
Exercitatio analytica
Evolutio problematis cuius solutio analytica est difficillima dum synthetica per se est obvia
Problema geometricum ob singularia symptomata imprimis memorabile
De curvis hyperbolicis quae intra suas assymtotas spatium finitum includunt
De integratione formulae (dx √(1+x4))/(1-x4) aliarumque eiusdem generis per logarithmos et arcus circulares
Memorabile genus formularum differentialium maxime irrationalium quas tamen ad rationalitatem perducere licet
De resolutione formulae integralis ∫ (xm-1 dx)(Δ + xn)λ in seriem semper convergentem, ubi simul plura insignia artificia circa serierum summationem explicantur
De formulis differentialibus angularibus maxime irrationalibus, quas tamen per logarithmos et arcus circulares integrare licet
Theorema maxime memoragile circa formulam integralem ∫ (dφ cos(λφ))/(1+aa-2acos(φ))n+1
Disquitio coniecturalis super formula integrali ∫ (dφcos(iφ))/(α+βcos(φ))n
Demonstratio theorematis insignis per coniecturam eruti circa intagrationem formulae ∫ (dφ cos(iφ))/(1+aa-2acos(φ))n+1
De valoribus integralium a termino variabilis x = 0 usque ad x = ¥ extensorum
Methodus succinctior comparationes quantitatum transcendentium in forma ∫ (P dz)/√(A + 2Bz + Czz + 2Dz3 + Ez4) contentarum inveniendi
Methodus singularis resolvendi aequationes differentiales secundi gradus
Methodus nova investigandi omnes casus quibus hance aequationem differentialem ddy(1-axx) - bx dx dy - cy dx2 = 0 resolvere licet
De formulis integralibus implicatis earumque evolutione et transformatione
De aequationibus differentialibus cuiuscunque gradus quae denuo differentiatae integrari possunt
Specimen aequationum differentialium indefiniti gradus earumque integrationis
Von dem Drucke eines mit einem Gewuchte beschwerten Tisches auf einer Flache. Aus den Papieren des sel. Leonhard Euler gozogen von Jakob Bernoulli
De singulari genere quaestionum Diophantearum et methodo maxime recondita eas resolvendi
De radicibus aequationis infinitae 0 = 1 - (xx)/(n(n+1)) + (x4)/(n(n+1)(n+2)(n+3)) - (x6)/(n.....(n+5)) + etc.
Exercitatio analytica, ubi imprimis seriei maxime generalis summatio traditur
Dilucidationes super formulis, quibus sinus et cosinus angulorum multiplorum exprimi solent, ubi simul ingentes difficultates diluuntur
De insignibus proprietatibus formularum integralium praeter binas variabiles etiam earum differentialia cuiuscunque ordinis involventium
Specimen integrationis abstrusissimae hac formula ∫ dx/((1+x)*4√(2xx-1)) contentae
Integratio formulae differentialis maxime irrationalis, quam tamen per logarithmos et arcus circulares expedire licet
Evolutio formulae integralis ∫ dz(3+zz)/((1+zz)*4√(1+6zz+z4)) per logarithmos et arcus circulares
Problema geometricum quo inter omnes ellipses quae per data quatuor puncta traduci possunt ea quaeritur quae habet aream minimam
Solutio problematis maxime curiosi quo inter omnes ellipses quae circa datum triangulum circumscribi possunt ea quaeritur cuius area sit omnium minima
De centro simulitudinis
Ulterior disquisitio de formulis integralibus imaginariis
Integratio succincta formulae integralis maxime memorabilis ∫ dz/((3±zz)*3√(1±3zz))
De casibus quibus hanc formulam x4 + kxxyy + y4 ad quadratum reducere licet
Investigatio superficierum quarum normales ad datum planum productae sint omnes inter se aequales
Variae speculationes super area triangulorum sphaericorum
Utrum hic numerus 100009 sit primus necne inquiritur
De formulis differentialibus secundi gradus quae integrationem admittunt
Formae generales differentialium, quae, etsi nulla substitutione rationales reddi possunt. tamen integrationem per logarithmos et arcus circulares admittunt
De novo genere quaestionum arithmeticarum pro quibus solvendis certa methodus adhuc desideratur
Methodus facilis inveniendi series per sinus cosinusve angulorum multiplorum procedentes, quarum usus in universa theoria astronomiae est amplissimus
Disquisitio ulterior super seriebus secundum multipla cuiusdam anguli progredientibus
Investigatio quarundam serierum, quae ad rationem peripheriae circuli ad diametrum vero proxime definiendam maxime sunt accommodatae
De novo genere serierum rationalium et valde convergentium, quibus ratio peripheriae ad diametrum exprimi potest
De insigni usu calculi imaginariorum in calculo integrali
De formulis speciei mxx + nyy ad numeros primos explorandos idoneis earumque mirabilibus proprietatibus
De evolutione potestatis polynomialis cuiuscunque (1 + x + x2 + x3 + x4 + etc.)n
Specimen transformationis singularis serierum
Methodus nova ac facilis omnium aequationum algebraicarum radices non solum ipsas sed etiam quascumque earum potestates per series concinnas exprimendi
De corporibus cylindricis incurvatis
Investigatio trianguli in quo distantiae angulorum ab eius centro gravitatis rationaliter exprimantur
Exempla quarundam memorabilium aequationum differentialium, quas adeo algebraice integrare licet, etiamsi nulla via pateat variabiles a se invicem separandi
De variis modis numeros praegrandes examinandi, utrum sint primi necne?
Resolutio formulae Diophanteae ab(maa+nbb) = cd(mcc+ndd) per numeros rationales
Solutio problematis mechanici
Facillima methodus plurimos numeros primos praemagnos inveniendi
Methodus generalior numeros quosvis satis grandes perscrutandi utrum sint primi necne?
Observatio singularis circa aequationes differentiales lineares
De integrationibus difficillimis, quarum integralia tamen aliunde exhiberi possunt
Disquitiones analyticae super evolutione potestatis trinomialis (1+x+xx)n
Brief von Euler
Recherches sur quelques integrations remarquables dans l'analyse des fonctions a deux variables connues sous le nom de differences partielles
Illustratio paradoxi circa progressionem numerorum idoneorum sive congruorum
Demonstratio insignis theorematis numerici circa uncias potestatum binomialium
Accuratior evolutio problematis de linea brevissima in superficie quacunque ducenda
De resolutione fractionum compositarum in simpliciores
Dilucidationes super Problemate geometrico de quadrisectione trianguli a Iacobo Bernoulli olum tractato
Solutio completa problematis de quadrisectione trianguli per duas rectas inter se normales
Solutio problematis ob singularia calculi artivicia memorabilis
Solutio facilior problematis Diophantei circa triangulum, in quo rectae ex angulis latera opposita bisecantes rationaliter exprimantur
Solutio facilis problematis, quo quaeritur sphaera, quae datas quatuor sphaeras utcunque dispositas contingat
Integratio aequationis differentialis huius dy + yydx = (A dx)/(a+2bx+cxx)2
De insigni paradoxo, quod in analysi maximorum et minimorum occurrit
De summatione serierum in hac forma contentarum a/1 + a2/4 + a3/9 + a4/16 + a5/25 + a6/36 + etc.
De transformatione functionum duas variabiles involventium dum earum loco aliae binae variabiles introducuntur
Solutio quaestionis curiosae ex doctrina combinationum
Regula facilis problemata Diophantea per numeros integros expedite resolvendi
De lineis curvis non in eodem plano sitis, quae maximi minimive proprietate sunt praeditae
Analysis facilis aequationem Riccatianam per fractionem continuam resolvendi
Observationes circa fractiones continuas in hac forma contentas S = n/(1+(n+1)/(2+(n+2)/(3+(n+3)/(4+etc.))))
De serie maxime memorabili, qua potestas binomialis quaecunque exprimi potest
De divisoribus numerorum in forma mxx + nyy contentorum
De fractionibus continuis Wallisii
Methodus succincta summas serierum infinitarum per formulas differentiales investigandi
De seriebus memorabilibus, quibus sinus et cosinus angulorum multiplorum exprimere licet
Investigatio quadrilateri, in quo singularum angulorum sinus datam inter se teneant rationem, ubi artificia prorsus singularia in Analysi Diophantea occurrunt
Geometrica et sphaerica quaedam
Commentatio in fractionem continuam, qua illustris La Grange potestates binomiales expressit
Analysis facilis aequationem Riccatianam per fractionem continuam resolvendi
De integralibus quibusdam inventu difficillimis
Solution succincta et elegans problematis, quo quaeruntur tres numeri tales, ut tam summae quam differentiae binorum sint quadrata
Probleme de geometrie resolu par l'analyse de Diophante
De casibus, quibus formulam x4 + mxxyy + y4 ad quadratum reducere licet
Solutio problematis mechanici non parum curiosi
De problemate traiectoriarum orthogonalium ad superficies translato
De binis formulis speciei xx + myy et xx + nyy inter se concordibus et discordibus
Investigatio accuratior circa brachystochronas
De vera brachystochrona seu linea celerrimi descensus in medio resistente
De brachystochrona in medio resistente, dum corpus ad centrum virium utunque attrahitur
Lettera inedita di Eulero a Lagrange
De tribus pluribusve numeris inveniendis, quorum summa sit quadratum, quadratorum vero summa biquadratum
Resolutio facilis quaestionis difficillimae, qua haec formula maxime generalis vvzz(axx+byy)2 + Δxxyy(avv+bzz)2 ad quadratum reduci postulatur
De problemate curvarum synchronarum, eiusque imprimis inverso
Methodus nova et generalis problema synchronarum inversum aliaque eiusdem generis resolvendi
De curvis quarum radii osculi tenent rationem duplicatam distantiae a puncto fixo earumque mirabilibus proprietatibus
De unciis potestatum binomii earumque interpolatione
Solutio problematis Fermatiani de duobus numeris, quorum summa sit quadratum, quadratorum vero summa biquadratum, ad mentem illustris La Grange adornata
Enodatio maximi paradoxi, in problemate quodam mechanico occurentis
Solutio trium problematum difficiliorum ad methodum tangentium inversam pertinentium
De insigni promotione Analysis Diophantaeae
Solutio problematis difficillimi, quo hae duae formulae aaxx + bbyy et aayy + bbxx quadrata reddi debent
Investigatio binorum numerorum formae xy(x4-y4), quorum productum sive quotus sit quadratum
De binis numeris, quorum summa sive aucta sive minuta tam unius quam alterius quadrato producat quadrata
Dilucidationes circa binas summas duorum biquadratorum inter se aequales
De resolutione huius aequationis 0 = a + bx + cy + dxx + exy + fyy + gxxy + hyy + ixxyy per numeros rationales
Methodus nova et facilis formulas cubicas et biquadriticas ad quadratum reducendi
Solutio problematis ad analysin infinitorum indeterminatorum referendi
De infinitis curvis algebraicis, quarum longitudo indefinita arcui elliptico aequatur
De infinitis curvis algebraicis, quarum longitudo arcui parabolico aequatur
De binis curvis algebraicis eadem rectificatione gaudentibus
De curvis algebraicis, quarum omnes arcus per arcus circulares metiri liceat
Solutio problematis analytici difficillimi
Integration d'une espece remarqable d'equation differentielle dans l'analyse des fonctions a deux variables
Oeuvres completes en francais de L. Euler
Solutio problematis in Actis Lipsiensibus A. 1745 propositi
Briefe von L. Euler an Chr. Goldbach 1729-1763
Einige Zeilen aus einem Brief von L. Euler an Albrecht von Haller vom 4 Juli 1744.
Commentatio de matheseos sublimioris utilitate
Commentationes arithmeticae collectae
Tractatus de numerorum doctrina capita sedecim, quae supersunt
Considerationes circa Analysin Diophanteam
Theorema arithmeticum eiusque demonstratio
De quadratis magicis
Recherches sur le problem de trois nombres carres tels que la somme de deux quelconques moins le troisieme fasse un nombre carre
Recherches ulterieures et tres curieuses sur le probleme de quatre nombres positifs et en proportion arithmetique tels que la somme de deux quelconques soit toujours un nombre carre
De numeris amicabilibus
Fragmenta commentationis cuiusdam maioris, de invenienda relatione enter latera triangulorum, quorum area rationaliter exprimi possit, et de triangulo in quo rectae ex singulis angulis latera opposita bisecantes sint rationales
Brief von L. Euler an Christoph Jezler vom 4 Mai 1765
Drei Briefe von L. Euler an Friedrich den Grossen 1743
Einige Zeilen aus Briefen von L. Euler an Johannes Schorndorf vom 27 April 1743 und vom 26 Mai 1750
Vierzehn Briefe oder Auszuge aus Briefen von L. Euler an W.J.G. Karsten 1758-1765
Zwei Briefe von L. Euler an G.B. Bulffinger 1738
Opera Postuma mathematica et physica
Fragmenta arithmetica ex Adversariis mathematicis depromta
Sur les logarithmes des nombres negativs et imaginaires
Problema algebraicum de inveniendis quatuor numeris ex datis totidem productis uniuscuiusque horum numerorum in summas trium reliquorum
Series maxime idoneae pro circuli quadratura proxime invenienda
Enodatio insignis cuiusdam paradoxi circa multiplicationem angulorum observati
Vera aestimatio sortis in ludis
Reflexions sur une espece singuliere de loterie, nommee Loterie Genoise
Analyse d'un probleme du calcul des probabilites
Institutionum calculi differentialis sectio III
Problematis ex theoria maximorum et minimorum solutio
Considerations sur quelques formules integrales dont les valeurs peuvent etre exprimees, en certains cas, par la quadrature du cercle
De lineis curvis, quarum rectificatio per datam quadraturam mensuratur
De comparatione arcuum curvarum irrectificabilium
Continuatio fragmentorum ex Adversariis mathematicis depromptorum
Sex litterae ad Nicolaum Bernoullium II (!), Basileensem, J.U.D. datae 1742 ad 1745
Duae litterae ad Fredericum II, Regem Borussorum, datae annis 1749 et 1763
Octodecim litterae ad cel. Lagrange datae annis 1755 ad 1775
Statica
Vera vires existimandi ratio
De motu corporum circa punctum fixum mobilium
De motu corporum super superficiebus mobilibus
De motu corporum in tubo rectilineo mobili circa axem fixum, per ipsum tubum transeuntem
Dissertation sur le mouvement des corps enfermes dans un tube droit, mobile autour d'un axe fixe
De motu corporum in tubis circa punctum fixum mobilibus
Recensio litterarum a Cl. D. Bernoullio basilea die 26. Oct. 1735 ad me datarum, una cum annotationibus meis
De oscillationibus annulorum elasticorum
Von der Kraft der Rammen, Pfahle einzuschlagen
Determination de l'effet d'un machine hydraulique inventee par M. Segner, professeur a Goettingue
Astronomia mechanica adjecta Digressione de cometa A. 1757
Solutio duorum problematum, Astronomiam mechanicam spectantium
Nouvelles Tables astronomiques pour calculer la place du soleil
De emendatione tabularum lunarium per observationes eclipsium lunae
Tria capita ex opere quodam majori inedito de theoria lunae
De atmosphaera lunae ex eclipsi colis annulari evicta
De motu cometarum in orbitis parabolicis, solem in foco habentibus
Recherche des inegalites causees au mouvement des planetes par des forces quelconques
Anleitung zur Naturlehre
Constructio manometri densitatem aeris quovis tempore accurate monstrantis
Theorie generale de la dioptrique
Sept chapitres d'un ouvrage de dioptrique
Recherche pour servir a la perfection des lunettes
De amplificatione campi apparentis in telescopiis
De la construction des microscopes
Reflexions sur la determination de la Declinaison de la Boussole
Recherches sur la decouverte des courants de la mer
Recensio Dissertationis de ventis
Meditatio de formatione vocum
Meditatio in experimenta explosione tormentorum nuper instituta
Differentes pieces sur les monades
Principia pro motu sanguinis per arterias determinando
Fragmentum ex adversariis mathematicis depromtum
Trois lettres inédites de Jean Ier Bernoulli à Léonard Euler
Lettres inédites d'Euler a d'Alembert
Several lines of a letter from Euler to Johann Bernoulli I from August 27, 1737
Fourteen letters from Euler to P. L. M. de Maupertuis, 1752-1759
Extracts of letters from Euler to Johann Bernoulli I, 1739-1740
Extracts of letters from Euler to Johann Bernoulli I, 1728-1729
Der Briefwechsel zwischen Leonhard Euler und Johann I Bernoulli, 1727-1740
Der Briefwechsel zwischen Leonhard Euler und Daniel Bernoulli
Several lines of a letter from Euler to the "Royal Society" dated October 21/November 1, 1768
Ein Brief Eulers an d'Alembert
Construction of isochronous curves in a resistant medium
Physical dissertation on sound
On a method for algebraic reciprocal trajectories
Thoughts on a nautical problem, proposed by the illustrious Royal Academy of Sciences in Paris
Solution to the problem of reciprocal trajectories
Dissertation on a number of new types of tautochrone curves
Attempt at explanation of the phenomena of air
Solution to the problem of finding curves which is formed by an elastic strip when a force is applied to a single point
On the shortest line joining two points on a surface
A new method of reducing innumerable differential equations of the second degree to differential equations of the first degree
Solution of certain differential equations which do not admit separation of variables
On the innumerable tautochrone curves in a vacuum
Tautochrone curves in a fluid making a second resistance proportional to the square of the speed
Solution to problems of astronomy: given the altitudes and time differences for three fixed stars, to find the elevation of the pole and the declination of the star
Mechanics, volume 1
Mechanics, volume 2
The Art of Reckoning
On the Indian solar year
On transcendental progressions, that is, those whose general terms cannot be given algebraically
The summation of an innumerable progression
For some given curve, it is required to find another curve joined in a certain way with that given, which is suitable for producing a tautochrone curve
On the communication of motion in collisions
On rectifiable algebraic curves
Solution of a remarkable case concerning tautochronism
A general method for summing series
Observations on a theory of Fermat and others on looking at prime numbers
On isoperimetric problems in the widest sense
Example of the construction of equations
On the solution of a problem of Diophantus
Inferences on the forms of roots of equations and of their orders
Solution to differential equations of the form axn dx = dy + y2 dx
On the shape of the earth
An attempt at a new theory of music, exposed in all clearness, according to the most well-founded principles of harmony
Dissertation on fire
Introduction to the Art of Reckoning, for use in the Gymnasiums of the Imperial Academy of Sciences in St. Petersburg
Solution of problems of arithmetic of finding numbers which, when divided by given numbers, leave given remainders
On the motion of planets and orbits
Determination of orbits around the sun
Solution to a problem concerning astronomy
On the smallest oscillations of rigid and flexible bodies. A new and easy method.
On the sums of series of reciprocals
On the curve of fastest descent in whatever resistent medium
On harmonic progressions
On infinite(ly many) curves of the same type, that is, a method of finding equations for infinite(ly many) curves of the same type
Addendum to the dissertation on infinite(ly many) curves of the same type
Universal methods of series
Finding the sum of any series from a given general term
Investigation of pairs of curves whose arcs that correspond to the same abscissa constitute an algebraic sum
On the oscillations of a flexible wire weighted with arbitrarily many little weights (?)
A method for computing the equation of a meridian
On the construction of equations using dragged motion, and of other things pertinent to the inverse method of tangents
Solution of a problem requiring the rectification of an ellipse
The solution of a problem relating to the geometry of position
A proof of certain theorems regarding prime numbers
Universal method for summation of series, further developed
New and easy method of finding curves enjoying a maximal or minimal property
A physical inquiry into the cause of the ebb and flow of the sea
Determination of the motion of a comet which can be observed in March of this year, 1742
Theorems concerning the reduction of integral formulas to the quadrature of the circle
On the resolution of an integral, if after integration the value for the determined variable quantity is assigned
On sums of series of reciprocals from powers of natural numbers from another discussion, in which the sums are derived principally from another source
On the integration of differential equations of various degrees
Demonstration of the sum of the series 1 + 1/4 + 1/9 + 1/16 …
Leonhardus Eulerus mathematicus acutissimus ad auctorem
A method for finding curved lines enjoying properties of maximum or minimum, or solution of isoperimetric problems in the broadest accepted sense
Theory of the motions of planets and comets
Answers to various questions about the condition, motion, and effects of comets
Further answers to various questions about the condition, motion, and effects of comets
On the imparting of motion from a collision of bodies not striking each other directly
On the construction of equations
A dissertation on continued fractions
Various observations about infinite series
The solution to a geometric problem about circles shaped as moons
On various methods for expressing the quadrature of a circle with verging numbers
Solution of a problem proposed in the Nova Acta Eruditorum in November, 1743
New and correct tables for computing the location of the moon
New Principles of Gunnery
Essay on a better construction of a capstan
A problem of geometry proposed publicly by an anonymous geometer
Opuscula varii argumenti
Thoughts on the elements of bodies
Percussion and its true measurement
On several properties of the conic sections which intersect with an infinity of other curved lines
Observation by Leonhard Euler on sections 83 and following of the preceding book, concerning elastic curves
Solution to a catoptric problem proposed in this journal in September 1745 on page 523
On the movement of bodies on movable surfaces
Astronomical table of the sun and the moon
A new theory of light and colors
On the running down of the motion of the planets
Analysis of the question whether the faculty of thinking can be attributed to matter or not
Physical investigations on the nature of the smallest parts of matter
Defense of divine revelations against the objections of the freethinkers
An inquiry into balances
On the movement of a boat with oars propelled through running waters
On differential equations which admit integration only in certain cases
On the most profitable application of simple as well as composite machines
On the attraction of spherico-elliptical bodies
The proofs of some arithmetic theorems
The solution to a certain problem proposed by the celebrated Daniel Bernoulli
On Amicable Numbers
Introduction to the Analysis of the Infinite, volume 1
Introduction to the Analysis of the Infinite, volume 2
Physical Investigations on the tail of comets, the northern lights, and the zodiacal light
Memoir on the effect of the successive propagation of light in the appearance of the planets as well as the comets
Memoir on the Grand Equation of the Planets
Solution to the catoptric problem in Novis Actis Eruditorum Lipsiensibus proposed in November 1745
Extract of a letter from Mr. Leonhard Euler, Prof. Mathem. and Member of the Imperial Society at Petersburgh, to the Rev. Mr. Cha. Wetstein, Chaplain and Secretary to His Royal Highness the Prince of Wales, concerning the Discoveries of the Russians on the North-East Coast of Asia.
A dissertation on an observed tendency of magents
Dissertation on Magnets
Naval Science, volume 1
Naval Science, volume 2
Studies on the movement of celestial bodies in general
Method for finding the true moments of both the new and the full moon
Method of finding the true geocenter of the moon by the obsertvation of the occulation of a fixed star
Method of determining the longitude of the observation site by observation of the occulations of fixed stars by the moon
Memoir on the force of oars
Reflections on the last eclipse of the sun from July 25, 1748
On the perfection of objective lenses of telescopes
On vibrations of excited chords
Investigations on the question of the differences of the movement of Saturn and Jupiter
Physical conjectures on the propogation of sound and light with other dissertations: on amicable numbers, on natural equations, and on the rectification of ellipses
On products created from infinite factors
Observations on continued fractions
On the determination of the gradient of heat and cold at each point and time of a region
Consideration of a progression suitable for finding the quadrature of a circle
On a new type of oscillation
An explanation of the phenomena which proceed in turn from the movement of light
An easy method for computing the natural and artificial sines and tangents of angles
Investigation of curves which produce evolutes similar to themselves
Considerations on certain series
An emmendation to astronomical tables of locating the geocenters of planets
Method of the celebrated Leonhard Euler for determining a degree of the meridian, as well as of a parallel of the earth, based on the measurement undertaken by the celebrated de Maupertuis and his colleagues
On the surface of scalene cones and of other conic bodies
Theorems on divisors of numbers
Various geometric demonstrations
On the propagation of pulses in an elastic medium
Examination of a design for propelling a ship by an internal principle of motion
On the motion of the lunar nodes, and on the variation of their inclination to the ecliptic
To what degree the motion of the earth is perturbed by the moon, more accurately investigated
On the vibration of strings
On the agreement of the latest eclipses of the sun and moon with my tables, to find the true times of full and new moons
On the atmosphere of the moon as proved by the last ringed eclipse of the sun
On the friction of solid bodies
On the reduction of the resistance of friction
Research into the largest and the smallest which are found in the action of forces
Reflection on some general laws of nature which are observed in the effects of random forces
On the apparent contradiction in the rule of curved lines
Proof concerning the number on points where two lines of ordinary order can intersect
Reflections on space and time
Meditations on the question of determining the moment of time by observations
A physical conjecture on the propagation of sound and light
On amicable numbers
A double demonstration of a theorem of Newton, which gives a relation between the coefficient of an algebraic equation and the sums of the powers of its roots
Observations on the rectification of ellipses
Excerpt from a letter of Herr Euler about the concept of asterisms on the celestial sphere
Opusculorum tomus III. continens novam theoriam magnetis ab illustr. academia regia scient: Parisina praemio condecoratam a. 1744.
On the extraction of roots from irrational quantities
Various analytical observations about combinations
On the oscillating motion of flexible bodies
On the descent of bodies over an unevenly inclined plane
On the movement of bodies over an uneven horizontal plane
A method for integrating rational differential forms involving one variable
An easier and more expedient method for integrating rational differential forms
Theorems about the divisors of numbers contained in the form paa ± qbb
On the motion of fluids arising from different degrees of heat
On the reduction of curved lines to the arcs of circles
On the solution of a most difficult problem proposed by Fermat
On the controversy between Messrs Leibniz and Bernoulli concerning the logarithms of negative and imaginary numbers
On the cuspidal points of the second kind of Monsieur le Marquis de l'Hopital
Research on imaginary roots of equations
Research on the precession of the equinoxes and on the nutation of the earth's axis
On the parallax of the moon, with respect to its elevation and azimuth, under the hypothesis of a spherical earth
New method of finding reciprocal algebraic trajectories
On the motion of flexible bodies
Discovery of an extraordinary law of numbers in relation to the sum of their divisors
Exposé concerning the letter from Leibnitz to Koenig in the March, 1751 issue of the Acts of Leipzig on the occasion of his publication of the Principle of Least Action
Discovery of a new principle in Mechanics
Reflections of the different degrees of sunlight on other celestial bodies
Research concerning the effects of a hydraulic machine proposed by M. Segner, professor at Gottingen
Notice on the subject of Research on the precession of the equinoxes
Research on the origin of forces
Letter of Mr. Euler to M. Merian
Part of a Letter from Leonard Euler, Prof. Math. at Berlin, and F.R.S. To the Rev. Mr. Caspar Wetstein, Chaplain to his Royal Highness the Prince of Wales, concerning the gradual Approach of the Earth to the Sun
Part of a Letter from Mr. Professor Euler to the Reverend Mr. Wetstein, Chaplain to his Royal Highness the Prince, concerning the Contraction of the Orbits of the Planets
(Euler's preface to the work An examination of the Middle Ages, set forth according to astronomical and chronological principles, by Heinrich Wilhelm Clemm, Berlin 1752)
Essay on the principle of least action, with an examination of the objections of M. Professor Koenig made against this principle
Theory of the motion of the moon which exhibits all its irregularities
Method of integrating differential equations of higher degrees, further developed
On the determination of series, or a new method for finding the general terms of series
Consideration of certain series which are gifted with particular properties
On the partitions of numbers
Solution of a problem of geometry
On the perturbation of the movement of planets from a figure not arising from a sphere
On machines in general
On the tautochrone motion of pendulums
Improvement of the magic lantern and solar microscope
Harmony existing between the general principles of rest and movement by M. de Maupertuis
On the principle of least action
Examination of the dissertation of Professor Koenig inserted into the Acts of Leipzig for the month of March 1751
Essay concerning a metaphysical demonstration on the general principle of equilibrium
Calculation of the probability in the game of Rencontre
On the application of the hydraulic machine of Mr. Segner to all sorts of situations and its advantages over the other hydraulic machines which one typically uses
Research on a new method to raise water proposed by M. Mour
Extract of a Letter from Professor Euler, of Berlin, to the Rev. Mr. Caspar Wetstein, Chaplain to Her Royal Highness the Princess Dowager of Wales
Geographic Atlas - Preface
On the motion of water in conduits
In depth explanation concerning different methods in which to raise water through pumps with the greatest effectiveness
Maxims for the most advantageous arrangement of machines that raise water by use of pumps.
Essay concerning the physical explanation of colors which are issued from extremely thin surfaces
Letters relating to a Theorem of Mr. Euler, of the Royal Academy of Sciences at Berlin, and F.R.S. for correcting the Aberrations in the Object-Glasses of refracting Telescopes
Problema, ad cuius solutionem geometrae invitantur; theorema, ad cuius demonstrationem geometrae invitantur
Foundations of Differential Calculus, with Applications to Finite Analysis and Series, Volume 1
Remarks on the preceeding memories of M. Bernoulli
Principles of spherical trigonometry taken from the method of the maxima and minima
Elements of spheroidal trigonometry taken from the method of the maxima and minima
Examination of a controversy on the law of refraction of rays of different colors with respect to the different transparent media through which they pass
Examination of the true curve that bodies which are airborne or in any other fluid
A letter from L. Euler to E. Pontoppidan, dated 11 May 1754
Concerning the refraction of light while passing through the atmosphere and the different degrees dependent on heat as to the elaticity of the air
Reflections on a problem of geometry dealt with by certain geometers which nevertheless is impossible
Research into the physics of the different refrangibilities of light rays
A more complete theory of machines which are activated by their reaction to water
Concerning the variation of latitude of fixed stars and the obliquity of the ecliptic
Notice
General principles concerning the state of the equilibrium of fluids
General principles concerning the motion of fluids
Continuation into the research on the theory of the motion of fluids
On numbers which are the sum of two squares
On the construction of the best gears
Elements of the doctrine of solids
Proof of some of the properties of solid bodies enclosed by planes
On the movement of celestial bodies perturbed by any number of forces
Refined studies into the effect of windmills
Experiments to determine the refraction of all types of transparent liquors
On the action of saws
Explanation of certain paradoxes in integral calculus
Research concerning the declination of the magnetized needle
Concerning the strength of columns
General rules for the construction of telescopes and microscopes, using some general number of lenses.
Research into glasses with three lenses which represent inverted objects
Proof of a theorem of Fermat that every prime number of the form 4n+1 is the sum of two squares
Proof of a theorem of Fermat that every number whether whole or fraction is the sum of four or fewer squares
Observations on the sums of divisors
A demonstration of a theorem on the order observed in the sums of divisors
On a method analogous to that of Diophantus in the analysis of the infinites
A contribution to the calculations of sines
On divergent series
On the screw of Archimedes
On finding the best shape for gear teeth
A method for finding infinitely many isoperimetric curves predicated with a common property
On the integration of the differential equations (m dx)/√(1-x4) = (n dy)/√(1-y4)
Observations on the comparison of arcs of irrectifiable curves
On indeterminate problems which appear to be quite determinate
On the expression of integrals as factors
General solution of certain Diophantine problems, which are ordinarily thought to admit only special solutions
Example of the use of observation in pure mathematics
On friction of rotating bodies
Principles of the motion of fluids
On the motion and reaction of water flowing through moving tubes
Attempt at a theory of the friction of fluids
Example of another new methods for comparing transcendental quantities; on the comparison of the arcs of ellipses
Theorems about the remainders left by division by powers
An example of a new method for the quadrature and rectification of curves and of comparing other quantities which are transcendentally related to each other
Proof of a theorem and solution of a theorem proposed in the Acta Eruditorum of Leipzig
On differential equations of the second degree
A construction of objective lenses from two glasses which produces neither confusion of a spherical figure nor gives rise to the dispersion of colors
Extract of a letter of M. Euler written to M. Duhamel, 3 February 1756
Letter of Mr. Euler to Mr. de Lagrange
On the integration of differential equations
The solution of a problem about searching for three numbers, of which the sum and not only their product but the sum of their products two apiece, are square numbers
Demonstration of a new method in the Theory of Arithmetic
A reinforcement of some arithmetic theorems, supported by several demonstrations
Consideration of formulas, of which the integral can be obtained by sections of arcs of cones
Construction of the differentio-differential equation Ay du2 + (B+Cu)du dy + (D+Eu+Fuu)ddy = 0, assuming the element du to be constant
Annotations to a certain passage of Descartes for finding the quadrature of the circle
Clarifications into fluid resistance
Principal theory of machines
On the motion and grinding of lenses while they are polished upon curved plates
On the resolution of formulas of squares of indeterminates by integral numbers
On progressions of arcs of circles, of which the accompanying tangents proceed by a certain law
A specimen of a singular algorithm
On the resolution of equations of any order
On very large prime numbers
On the resolution of the equation dy + ayy dx = bxm dx
Investigation of functions from a given condition of differentials
On the vibrating motion of a flexible wire, weighted with however many small particles
On the vibrating motion of unevenly thick strings
Thoughts on constructing ramparts/walls
Theory of the motion of solid or rigid bodies
Geometria dalya ipotrevleniya v academycheskoi gymnazii [Russian]
Research into the science of mechanical bodies
On the movement of rotation of solid bodies around a variable axis
General remarks on the daily motion of the planets
Remarks by Mr. Euler on several passages which appeared in the third volume of mathematical works by Mr. d'Alembert
On the reduction of integral formulas for the rectification of the ellipse and hyperbola
The Elements of the Calculus of Variations
Explanation of the analytical method in the maxima and minima
On the notable advancement of the inverse method of tangents
Explanation of the tautochrone in a resistant medium
Demonstration of a Bernoullian theorem in which cycloids are ultimately produced from the evolution, continued to infinity, of any right-angled curve
De motu corporis ad duo centra virium fixa attracti
On the motion of vibrations in drums
Tentamen de sono campanarum
Considerationes de motu corporum coelestium
On the propagartion of sound
Supplement to the research on the propagation of sound
Continuation into the propagation of sound
Recherches sur le mouvement de rotation des corps celestes
Solution of a curious question which does not seem to have been subjected to any analysis
New method to eliminate the unknown quantities in equations
Research into simple microscopes and the methods to perfect them
Research on microscopes with three lenses and the methods by which to make them
On the advantage to the banker in the game of Pharaon
Conjecture into the reasons why flat tones are generally heard in music
Concerning the true character of modern music
On three lens glasses which represent upright objects
Clarifications on the movement of vibrating strings
Research into the motion of unequally thick strings
Research into the integration of the equation (ddz/dt2)=aa(ddz/dx2)+(b/x)(dz/dx) + (c/xx)z
Research into a new type of construction of six lens glasses and their improvement
Observations concerning the integrals of formulas ∫ xp-1dx(1-xn)q/n-1 setting x=1 after integration
The use of discontinued functions in analysis
Concerning the use of a new algorithm to solve the Pell problem
Properties of triangles for which certain angles have a ratio between themselves
Easy solutions to some difficult geometric problems
Analytical observations
On the rectilinear motion of three bodies mutually attracted to each other
On the motion of a body attracted to two fixed centers of forces
On the appearance of the heavens observed through transparent spherical segments
Supplement on the shape of the teeth of wheels [gear teeth]
On the motion of fluids arising from different degrees of heat
Research concerning the flow of rivers
Research into the curvature of surfaces
General research on the mortality and the propagation of the human race
Concerning annuity incomes
On the motion of a rotating solid round a mobile axis
Problem: A body is attracted by reason of the reciprocal square of the distance towards two given fixed points, find the case where the described curve by this body will be algebraic, solved by Mr. Euler
On the probability of series in the Genoese lottery
On the motion of a string which at the start has only been struck only in one area
Detailed clarifications concerning the generation and propagation of sound and on the formation of echo
Report concerning a new method for the propagation of grain
Foundations of Differential Calculus, with Applications to Finite Analysis and Series, Volume 2
Letters to a German Princess on various topics in physics and philosophy
Letters to a German Princess on various topics in physics and philosophy
On integrated equations of the type dx/√(A+Bx+Cx2+Dx3+Ex4) = dy/√(A+By+Cy2+Dy3+Ey4)
De arcubus curvarum aeque amplis earumque comparatione
More general development of formulas serving for the comparison of curves
Methodus facilis motus corporum coelestium utcunque perturbatos ad rationem calculi astronomici revocandi
Disquisition on the true law of refraction of rays of different colors
On a new type of microscope composed of six lenses
On a telescope made from four lenses and its perfection
Remarks on a beautiful relation between direct as well as reciprocal power series
Research into the confusion which exists in dioptic lenses caused by their aperture
Research into the methods to diminish or reduce the confusion caused by the opening of the lenses
New method to improve the objective lenses for glasses
Determination of the apparent field that is discovered by telescopes as well as by microscopes
General rules for the construction of telescopes and of microscopes
On the perfection of astronomic glasses which represent inverted objects
The manufacture of lenses composed of two different types of glass which does not present any confusion
The correct way to manufacture composes lenses which will reduce all confusion in the glasses
Reflections on the ways in which to examine the refraction of glass by the way of prisms
The necessary corrections to the theory of the magnetic declination which was proposed in Volume XIII of the Memoires
Notebook concerning a general theory of dioptrics
Letter written to the Royal Academy of Sciences in Berlin
Extracts from some letters by Euler to d'Alembert
Foundations of Differential Calculus, with Applications to Finite Analysis and Series, Volume 3
Optics, part 1
On a hyperbolic curve expressed by this equation y = 1*2*3*...*x
How very large numbers are to be tested for whether they are prime or not
A new criteria for acquiring the imaginary roots of equations
Considerations on completing the theory of the motion of the moon and especially of its variation
Note of certain precautions to be taken in the investigation of the inequalities by which the heavenly bodies are perturbed in their motion
More accurate investigation of the phenomena which can be produced in the diurnal motion of the earth by celestial forces
On the equilibrium and motion of bodies connected by flexible curves
First section on the state of equilibrium of fluids
Considerations on the difficulties that one encounters during the manufacture of objective lenses
Research into reflective telescopes and their perfection
Research on another construction of reflecting telescopes
Concerning the confusion which exists in dioptical instruments due to the diverse refrangibility of light rays
Concerning the new English glasses of Mr. Dolland and on the principle on which it is based
On the advantages of telescopic glasses built with two lenses
Remarks on the effect of friction on equilibrium
Methods to apply for improving the degree of perfection in the manufacture of telescopic lenses
Research on the inequalities of Jupiter and Saturn
Foundations of Integral Calculus, volume 3
Optics, part 2
Complete instruction in algebra, book 1
Complete instruction in algebra, book 2
Research and calculations on the true elliptical orbit of the comet of the year 1769 and its periodic time
(Considerations of orthogonal trajectories)
On double integral formulas
Development of a notable paradox concerning the equality of surfaces
On the sum of series involving the Bernoulli numbers
On the partition of numbers into a number of parts of a given type
On finding however many mean proportionals without regard to extraction of roots
Section two of Principles of Fluid Motion
Exposition of methods, not only for determining the parallax of the sun from an observed transit of Venus across the sun, but also for finding longitudes of places on the earth from observations of eclipses of the sun, together with calculations and conclusions deduced therefrom
New method to determine the perturbations during the motion of heavenly bodies caused by their mutual attraction
Reflections on the different ways that one can describe the movement of the moon
Thoughts on the three body problem
A new way to compare the observations of the moon with the theory
On the movement of the apsides of the moons of Jupiter
Herr Leonhard Euler's necessary computation for the establishment of a widows-fund
Optics, part 3
A solution of a problem about two numbers which are searched for, of which their product, increased or decreased by their sum or difference, will be a square
Observations about the roots of equations
An algebraic problem that is notable for some quite extraordinary relations
On rectifiable curves on spherical surfaces
The third chapter on the linear motion of fluids
Natural basic principles of the study of the state of equilibrium, and the motion, of bodies that are both perfectly flexible and elastic
On the impact of bullets exploded against a plate
Solution to a very difficult question in the calculus of probabilities
On the movement of ships without the force of the wind
An investigation of the perturbations by which the motions of the planets are---on account of their action upon one another---affected
Concerning pitching and rolling
Reflections on the question: Does the medial motion of the planets remain at constant speed, or does it, in the course of time, undergo some change? And what might be the cause of this?
Letters to a German Princess on various topics in physics and philosophy
Theory of lunar motion
On solids whose (entire) surface can be unfolded onto a plane
A new and easy method for treating the calculus of variations
Solution of a formula for the integral ∫ x f-1 dx (log x)m/n the integration being extended from the value x = 0 to x = 1
The solution of a certain altogether remarkable geometrical problem
Considerations on the measurement of circles
Section four of the motion of air in tubes
On the perturbation of the motion of the Earth due to an action arising from Venus
Complete theory of the construction and steering of ships
An investigation of a certain Diophantine problem
Observations about two biquadratics, of which the sum is able to be resolved into two other biquadratics
On various types of integrals
Observations on the differential equation y dy + My dx + N dx = 0
Consideration of the differential equation (a+bx)ddz + (c+ex)(dxdz/x) + (f+gx)(zdx2/xx) = 0
Analytical exercises
An aside on trajectories, both orthogonal and oblique-angled
On the collision of spinning bodies
On the collision of hanging bodies, both oblique and spinning
On the true tautochrone in fluids
On the tautochrone in a thin medium, where the resistance is directly proportional to the speed
Clarifications regarding the tautochrone
A further inquiry into vibrating chords
Inquiries into the Bernoulli solution, in Volume XVI of the New Commentaries, regarding the motion of strings composed of two parts of differing density
On the vibratory motion of strings composed of an arbitrary number of parts of differing density
On the vibratory motion of strings possessed of a density that varies arbitrarily
On the vibratory motion of elastic laminates, where many new types of vibrations, not treated heretofore, are solved
On the most rapid (descending) motion of weights along curves of a specified type
Proof that every integer is the sum of four squares
Detailed instructions to elevate any glasses to the highest level of perfection to which they are susceptible
The summation of the progressions
sin(φλ) + sin(2φλ) + sin(3φλ) + ... + sin(nφλ);
cos(φλ) + cos(2φλ) + cos(3φλ) + ... + cos(nφλ).
A new infinite series that expresses the perimeter of an ellipse, and which converges very rapidly
Demonstrations about the residues resulting from the division of powers by prime numbers
Nova ratio quantitates irrationales proxime exprimendi
A solution of the problem of finding a triangle, in which the lines from each angle bisecting the opposite sides are rational
The resolution of the equation Ax2 + 2Bxy + Cy2 + 2Dx + 2Ey + F = 0 by rational and integral numbers
Eminent properties of series within which the general term is contained as x = (1/2)(a+b/√k)(p+q√k)n + (1/2)(a-b/√k)(p-q√k)n
On the resolution of irrationals by continued fractions, where a certain minor new and singular type is set forth
A determination, sought from the first principles of mechanics, of the oscillatory motion that was treated in the preceding article
On the pressure of a weight on the plane against which it leans
De harmoniae veris principiis per speculum musicum repraesentatis
A new method of reducing the motions of the principal planets to astronomical tables
A disquisition concerning three-fold objective lens, which either create no distortion or which are capable of removing a given distortion arising from the other lens
On the application of objective lenses to all types of telescopes
Extract of a letter by Mr. Euler to Mr. Bernoulli father concerning the memoire published by them in 1771, p. 318
On the value of the integral formula ∫ (zm-1 ± zn-m-1)/(1 ± zn) dz in the case in which after integration it is put z = 1
On the value of the integral formula ∫ (zλ-ω ± zλ+ω)/(1 ± z2λ)(dz/z)(lz)μ casu quo post integrationem ponitur z = 1
A new method of determining integral qualities
A demonstration of a theorem of Newton on the expansion of the powers of a binomial by cases, in which the exponents are not integral numbers
A singular Diophantine problem
On the table of prime numbers continued up to one million and beyond, in which at once all the non-prime numbers are expressed by their smallest divisors
On the minimal oscillations of a pendulum laden with a given weight
On the oscillatory movement of two plates suspended from a balance
Explicatio motus oscillatorii mirabilis in libra maiore observati
De motu turbinatorio chordarum musicarum; ubi simul universa theoria aequilibrii quam motus corporum flexibilium simulque etiam elasticorum breviter explicatur
Commentatio hypothetica de periculo a nimia cometae approponquatione metuendo
Clarifications on the establishing of public which are as helpful to widows as to the deceased, with a description of a new type of Tontine as favorable to the public as it is useful to the state
A solution of several Diophantine problems
Analytical speculations
Observations about a new and singular type of progression
Meditations about a singular type of series
General formulas for the translation of arbitrary rigid bodies
A new method for generating the motion of a rigid body
Regula facilis pro diiudicanda firmitate pontis aliusve corporis similis excognita firmitate moduli
De gemina methodo tam aequilibrium quam motum corporum flexibilium determinandi et utriusque egregio consensu
De pressione funium tensorum in corpora subiecta eorumque motu a frictione impedito. Ubi praesertim methodus traditur …
De traiectu citissimo stellae per duos circulos almucantarath datos pro qualibet elevatione poli.
De circulo maximo fixo in coelo constituendo, ad quem orbitae planetarum et cometarum referantur.
Answer to the question proposed by the Paris Academy for 1770
Answer to the question proposed by the Paris Academy for 1772
Reflections of Mr. L. Euler on new experiments in optics, communicated to the academy of sciences by Mr. Wilson
Observations on the foregoing dissertation of Bernoulli
On unravelling exponential formulas
On the representation of spherical surfaces on a plane
On the geographical projections of spherical surfaces
On de Lisle's geographic projection and its use
Vera theoria refractionis et dispersionis radiorum rationibus et experimentis confirmata
On the figure that the wind can induce on a stagnant fluid
Considerationes super problemate astronomico in tomo commentarior. veter. IV. pertractato.
On the apparent figure of the ring of Saturn, according to the place of it from any perspective on earth
On the appearance and disappearance of the rings of Saturn
Extract of a letter from Mr. Euler to Mr. Beguelin from May 1778
On the integration of the formula ∫ (dx lx)/√(1-xx) from x = 0 to x = 1
On the value of the integral formula ∫ ((xa-1 dx)/lx)(1-xb)(1-xe)/(1-xn) bounded at x = 0 and extended to x = 1
Considerations about brachistochrones
On the effects of refraction during terrestrial observations
De motu oscillatorio penduli cuiuscunque, dum arcus datae amplitudinis absolvit
On the Theory of the Moon which is to be carried to a higher level of perfection
De corporibus regularibus per doctrinam sphaericam determinatis; ubi simul nova methodus globos sive coelestes sive terrestres charta obducendi traditur
(Elucidations about a most elegant method, which the illustrious la Grange used in the integration of the differential equation dx/√X = dy/√Y
On the infinity of infinities of orders of the infinitely large and infinitely small
The determination of the loads which columns are strong enough to bear
An examination of an outstanding paradox occurring in the theory of columns
De altitudine columnarum sub proprio pondere corruentium
Thoughts concerning the Earth's motional inequalities caused by Venus' action, accompanied with a table of the corrections of Earth's position
Investigatio perturbationum quae in motu terrae ab actione Veneris producunter: cum tabula perturbationum istarum
On triangular curves
On the measure of solid angles
De casibus quibusdam maxime memorabilibus in analysi indeterminata, ubi imprimis insignis usus calculi angulorum in analysi Diophantea ostenditur
De motu oscillatorio duorum corporum ex filo super trochleas traducto suspensorum
On a certain problem in mechanics, obvious enough, but with a most difficult solution
Solutio gemina problematis, quo motus corporis, filo alicubi alligati, super plano horizontali quaeritur
New method to determine the motion of planets
Essay of the theory of resistance that a prow of a ship experiences throughout its motion
Analytical theories. Extracts of different letters of Mr. Euler to Mr. le Marquis de Condorcet
On the formation of continuous fractions
On three square numbers, of which the sum and the sum of products two apiece will be a square
A universal spherical trigonometry, derived briefly and from first principles
De motu oscillatorio mixto plurium pendulorum ex eodem corpore mobili suspensorum
Investigatio motuum, quibus laminae et virgae elasticae contremiscunt
A conjecture about the nature of air, by which are to be explained the phenomenon which have been observed in the atmosphere
An annotation to the preceding dissertation
A theory of parallaxes, accommodating the spheroid shape of the Earth
Investigations on a new type of magic square
Brief analytical works, volume 1
On the remarkable properties of a series of Lambert and others
On the oscillating motion derived from a tense hanging thread
Elucidations about several rather difficult cases of equilibrium
Determinatio omnium motuum, quos chorda tensa et uniformiter crassa recipere potest
On the properties of triangles in mechanics
On the figure of elastic curves against the objections of the illustrious d'Alembert
Necessary cautions in the determination of the motion of planets which are to be observed
A supplement to the calculation of integrals for the calculation of irrational formulas
A new method for resolving all rational fractions into simpler fractions
The expansion of the infinite product (1-x)(1-xx)(1-x3)(1-x4)(1-x5) etc. into a single series
On the remarkable properties of the pentagonal numbers
Problematis cuiusdam Pappi Alexandrini constructio
De motu libero plurium corporum filis colligatorum super plano horizontali
De vi fluminis ad naves sursum trahendas applicanda
De statu aequilibrii maris a viribus solis et lunae sollicitati.
Simple determination of the orbit of a comet, when it is possible to observe its transit across the ecliptic twice
De variis motuum generibus, qui in satellitibus planetarum locum habere possunt.
De motibus maxime irregularibus, qui in systemate mundano locum habere possent, una cum methodo hujusmodi motus per temporis spatium quantumvis magnum prosequendi.
On series in which the product of two consecutive terms make a given progression
Various methods for inquiring into the innate characters of series
Observations about the division of squares by prime numbers
Analytical observations
A more exact disquisition about the residues remaining from the division of squares and of higher powers by prime numbers
An examination of the use of interpolating methods in the doctrine of series
On the criteria of whether equation fxx + gyy = hxx admits a resolution or not
De quibusdam eximiis proprietatibus circa divisores potestatum occurrentibus
Proposita quacunque protressione ab unitate incipiente, quaeritur quot eius terminos a dminimum addi oporteat, ut omnes numeri producantur
New assistance for solving the formula axx + 1 = yy
Miscellaneous analyses
Various observations about angles proceeding in geometric progression
On how sines and cosines of multiplied angles may be expressed by products
On the smallest ellipse which is to circumsrcibe a given rectilinear parallelogram
Speculations about certain outstanding properties of numbers
On highly transcendental quantities, which may not be expressed in any way by integral formulas
De inductione ad plenam certitudinem evehenda
Dilucidationes de motu chordarum inaequaliter crassarum
De motu penduli circa axem cylindricum, fulcro datae figurae incumbentem, mobilis. Remota frictione
De motu penduli circa axem cylindricum, fulcro datae figurae incumbentem, mobilis. Habita frictionis ratione
On finding longitude of a place by observing the distance between the moon and a known fixed star
De eclipsibus solaribus in superficie terrae per proiectionem repraesentandis.
Nova methodus integrandi formulas differentiales rationales sine subsidio quantitatum imaginariarum
De duplici genesi tam epicycloidum quam hypocycloidum
De curvis rectificabilibus in superficie coni recti ducendis
De mirabilibus proprietatibus unciarum, quae in evolutione binomii ad potestatem quamcunqua evecti occurrunt
De oscillationibus minimis funis libere suspensi
De perturbatione motus chordarum ab earum pondere oriunda
On the disturbance of motion concerning planets and comets
Calculations on aerostatic balloons made by the late Mr. Leonhard Euler, as they were found on his blackboard, after his death on September 7, 1783
Brief analytical works, volume 2
A more complete investigation into the relationship between those quantities contained in the integral formula ∫ (\Z dz)/√(1+mzz+nz4), where Z denotes a rational function of zz.
The fruitful development of a relation which may be established between the arcs of conic sections
De numero memorabili in summatione progressionis harmonicae naturalis occurrente
De insignibus proprietatibus unciarum binomii ad uncias quorumvis polynomiorum extensis
De effectu frictionis in motu volutorio
Considerations about a theorem of Fermat on the resolution of numbers into polygonal numbers
An observation on several theorems of the illustrious de la Grange
An investigation of the integral formula ∫ (xm-1 dx)/(1+xk)n in the case in which after integration it is set x = ∞
An investigation of the value of the integral ∫ (xm-1 dx)/(1-2xkcosθ+x2k) the term to be extended from x = 0 to x = ∞
Certain theorems in analysis, of which a demonstration is thus far desired
On the relation between three and more quantities which are to be instituted
On the resolution of transcendental fractions into infinitely many simple fractions
On the transformation of series into continued fractions, where at once this not mediocre theory is enlarged
A method for finding integral formulas, for which in certain cases a given rule holds between them, where at once a method is related for summing continued fractions
Summatio fractionis continuae cuius indices progressionem arithmeticam constituunt dum numeratores omnes sunt unitates ubi simul resolutio aequationis Riccatianae per huiusmodi fractiones docetur
On the sum of the series of numbers of the form 1/3 - 1/5 + 1/7 + 1/11 - 1/13 ... in which the prime numbers of the form 4n-1 have positive signs, and those of the form 4n+1 have negative signs
A new and most easy method for summing series of reciprocals of powers
De insigni promotione scientiae numerorum
Solution to a question concerning the calculation of probability: How much should be paid by a couple, so that a certain sum of money can be paid to the heir after the death of the other
The solution of certain difficult questions in the calculus of probabilities
De symptomatibus quatuor punctorum, in eodem plano sitorum
Methodus facilis omnia symptomata linearum curvarum non in eodem plano sitarum investigandi
De descensu baculi super hypomochlio cylindro fixo delabentis
On rectilinear and oblique reciprocal trajectories
On the remarkable properties of the elastic curves under the equation y = ∫ (xx dx)/√(1-x4)
Speculations concerning the integral formula ∫ (xndx)/√(aa-2bx+cxx), where at once occur exceptional observations about continued fractions
De motu globi circa axem obliquum quemcunque gyrantis et super plano horizontali incedentis
Accuratior evolutio formularum pro filorum flexibilium aequilibrio et motu inventarum
Considerations about rectilinear and oblique trajectories
New demonstrations about the divisors of numbers of the form xx + nyy
Investigatio curvarum quae similes sint suis evolutis vel primis vel secundis vel tertiis vel adeo ordinis cuiuscunque
De motu globi heterogenei super plano horizontali, una cum dilucidationibus necessariis super motu vacillatorio
Dilucidationes in capita postrema calculi mei differentalis de functionibus inexplicabilibus
Commentary on tractrix curves
De viribus centripetis, ad curvas non in eodem plano sitas describendas, requisitis
On the transformation of the divergent series 1 - mx + m(m+n)x2 - m(m+n)(m+2n)x3 + etc. into a continued fraction
On the summation of series, in which the signs of the terms alternate
Consideratio motus singularis, qui in filo perfecte flexili locum habere potest
Enodatio difficultatis super figura terrae a vi centrifuga oriunda.
An easy method for finding the integral of the formula ∫ (dx/x)(xn+p - 2xncosζ + xn-p)/(x2n - 2xncosθ + 1) in the case in which after integration it is put from x = 1 to x = ∞
On the greatest use of the calculus of imaginaries in analysis
Specimen singulare analyseos infinitorum indeterminatae
De lineis rectificabilibus in superficie sphaeroidica quacunque geometrice ducendis
De superficie coni scaleni, ubi imprimis intentes difficultates, quae in hac investigatione occurrunt, perpenduntur
De viribus centripetis, ad curvas non in eodem plano sitas describendas, requisitis
On the movement of three bodies mutually attracted above a straight line
Solutio problematis mechanici
Clarifications on the paper by Mr. de La Grange inserted into volume 5 of the Melanges de Turin, concerning the method of taking the mean of the results of various observations
The expansion of the integral formula ∫ dx(1/(1-x) + 1/(lx)) with the term extended from x = 0 to x = 1
Uberior explicatio methodi singularis nuper expositae integralia alias maxime abscondita investigandi
An easy and clear analysis for guiding those most abstruse series, by which not only the roots but even the powers of the roots of all algebraic equations are able to be expressed
On innumerable types of most remarkable series, by which not only the roots but even too any power of the roots of all algebraic equations are able to be expressed
De binis curvis algebraicis inveniendis, quarum arcus indefinite inter se sint aequales
De motu oscillatorio tabulae suspensae et a vento agitatae
Innumera theoremata circa formulas integrales, quorum demonstratio vires analyseos superare videatur
On the multiplication of angles which are to be obtained by factors
A new demonstration, with respect to which prevails the expansion of binomial powers by Newton even by fractional exponents
On innumerable algebraic curves, of which the longitude is able to be measured by parabolic arcs
On innumerable algebraic curves, of which the longitude is able to be measured by elliptical arcs
Comparatio valorum formulae integralis ∫ (xp-1 dx)/(n√((1-xn)n-q)) a termino x = 0 usque ad x = 1 extensae
De motu quodam maxime memorabili, satis quidem simplici, at solutu difficillimo
On a singular rule for differentiating and integrating, which occurs in the sums of series
A general method for investigating all the roots of an equation by approximation
Innumerable forms of equations from all orders, of which a resolution is able to be exhibited
On algebraic curves, of which the longitudes are expressed by the integral formula ∫ (vm-1 dv)/√(1-v2n)
De duabus pluribusve curvis algebraicis in quibus si a terminis fixis aequales arcus abscindantur eorum amplitudines datam inter se teneant rationem
De methodo tangentium inversa ad theoriam solidorum translata
An easy solution of a problem, in which a circle is searched for, given three circles tangent to it
De motu oscillatorio penduli circa axem cylindricum plano horizontali incumbentem
De formulis differentialibus quae per duas pluresve quantitates datas multiplicatae fiant integrabiles
Four most noteworthy theorems on the calculation of an integral
On the general term of hypergeometric series
De iterata integratione formularum integralium, dum aliquis exponens pro variabili assumitur
Methodus facilis investigandi radium osculi ex principio maximorum et minimorum petita
General observations about series, of which the terms arising for the sines or cosines of multiplied angles come forth
On most memorable integrations arising from the calculation of imaginaries
A supplement to the preceding dissertation about the integration of the formula ∫ (zm-1 dz)/(1-zn) in the case where z = v(cos(φ) + √(-1) sin(φ))
De momentis virium respectu axis cuiuscunque inveniendis; ubi plura insignia symptomata circa binas rectas, non in eodem plano sitas, explicantur
Methodus facilis omnium virium momenta respectu axis cuiuscunque determinandi
Foundations of Integral Calculus, Volume 4
Several considerations about hypergeometric series
On the true value of the integral formula ∫ dx(l(1/x))n with the term extended from x = 0 all the way to x = 1
Plenior expositio serierum illarum memoragilium, quae ex unciis potestatum binomii formantur
Analytical exercises
The evolution of a problem whose analytic solution is most difficult, while the synthetic solution for it is obvious
Problema geometricum ob singularia symptomata imprimis memorabile
De curvis hyperbolicis quae intra suas assymtotas spatium finitum includunt
On the integration of the formula (dx √(1+x4))/(1-x4) and of others of the same type by logarithms and circular arcs
Memorabile genus formularum differentialium maxime irrationalium quas tamen ad rationalitatem perducere licet
De resolutione formulae integralis ∫ (xm-1 dx)(Δ + xn)λ in seriem semper convergentem, ubi simul plura insignia artificia circa serierum summationem explicantur
De formulis differentialibus angularibus maxime irrationalibus, quas tamen per logarithmos et arcus circulares integrare licet
A memorable theorem about the integral formula ∫ (dφ cos(λφ))/(1+aa-2acos(φ))n+1
A conjectural disquisition about the integral formula ∫ (dφcos(iφ))/(α+βcos(φ))n
Demonstratio theorematis insignis per coniecturam eruti circa intagrationem formulae ∫ (dφ cos(iφ))/(1+aa-2acos(φ))n+1
On the values of integrals where the variable term is extended x = 0 all the way to x = ∞
Methodus succinctior comparationes quantitatum transcendentium in forma ∫ (P dz)/√(A + 2Bz + Czz + 2Dz3 + Ez4) contentarum inveniendi
Special methods for resolving differential equations of the second degree
A new method for investigating all cases in which the differential equation ddy(1-axx) - bx dx dy - cy dx2 = 0 is permitted to resolve
De formulis integralibus implicatis earumque evolutione et transformatione
De aequationibus differentialibus cuiuscunque gradus quae denuo differentiatae integrari possunt
Specimen aequationum differentialium indefiniti gradus earumque integrationis
On the pressure of a table weighted by a weight on a surface. From the papers of the blessed Leonhard Euler extracted by Jakob Bernoulli.
On a singular type of Diophantine questions and a most recondite method by which they are to be resolved
On the roots of the infinite equation 0 = 1 - (xx)/(n(n+1)) + (x4)/(n(n+1)(n+2)(n+3)) - (x6)/(n.....(n+5)) + etc.
An analytical exercise, where in particular a most general summation of series is given
Elucidations about the formula, in which the sines and cosines of angles are to be multiplied, where at once large difficulties are diluted
De insignibus proprietatibus formularum integralium praeter binas variabiles etiam earum differentialia cuiuscunque ordinis involventium
A most abstruse specimen of integral contained in the formula ∫ dx/((1+x)*4√(2xx-1))
Integratio formulae differentialis maxime irrationalis, quam tamen per logarithmos et arcus circulares expedire licet
The expansion of the integral formula ∫ dz(3+zz)/((1+zz)*4√(1+6zz+z4)) by logarithms and circular arcs
Problema geometricum quo inter omnes ellipses quae per data quatuor puncta traduci possunt ea quaeritur quae habet aream minimam
Solutio problematis maxime curiosi quo inter omnes ellipses quae circa datum triangulum circumscribi possunt ea quaeritur cuius area sit omnium minima
On the center of similarity
Later paper on formulas of imaginary integrals
A succinct integration of the most memorable integral formula ∫ dz/((3±zz)*3√(1±3zz))
On the cases in which the form x4 + kxxyy + y4 is permitted to be reduced to a square
Investigatio superficierum quarum normales ad datum planum productae sint omnes inter se aequales
Several speculations about the area of spherical triangles
Inquiring on whether or not the number 100009 is prime
On differential equations of the second degree which admit integration
Formae generales differentialium, quae, etsi nulla substitutione rationales reddi possunt. tamen integrationem per logarithmos et arcus circulares admittunt
De novo genere quaestionum arithmeticarum pro quibus solvendis certa methodus adhuc desideratur
An easy method for finding series proceeding by the multiplication of the sines and cosines of angles, of which the use in the universal theory of astronomy is very great
Disquisitio ulterior super seriebus secundum multipla cuiusdam anguli progredientibus
Investigatio quarundam serierum, quae ad rationem peripheriae circuli ad diametrum vero proxime definiendam maxime sunt accommodatae
On a new type of rational and highly convergent series, by which the ratio of the periphery to the diameter is able to be expressed
On the outstanding use of the calculation of imaginations in the calculation of an integral
On forms of the type mxx + nyy for exploring prime numbers by idoneals of them with remarkable properties
On the expansion of the power of any polynomial 1 + x + x2 + x3 + x4 + etc.
Example of the transformation of singular series
A new and easy method for expressing for all algebraic equations not only their roots but also the powers of them by constructing series
De corporibus cylindricis incurvatis
An investigation of a triangle in which the distances of the angles from the center of gravity of it may be expressed rationally
Exempla quarundam memorabilium aequationum differentialium, quas adeo algebraice integrare licet, etiamsi nulla via pateat variabiles a se invicem separandi
On various ways of examining very large numbers, for whether or not they are primes
The resolution of the Diophantine formula ab(maa+nbb) = cd(mcc+ndd) by rational numbers
Solution to a problem of mechanics
An easy method of finding several rather large prime numbers
A more general method by which all adequately large numbers may be scrutinized for whether or not they are prime
Special observations about linear differential equations
De integrationibus difficillimis, quarum integralia tamen aliunde exhiberi possunt
Analytical disquisitions on the expansion of the trinomial power (1+x+xx)n
A letter by Euler
Research concerning some remarkable integrations in functional analysis with two variables known under the title of partial differentials
An illustration of a paradox about the idoneal, or suitable, numbers
A demonstration of a notable theorem of numbers a twelfth part of binomial powers
A more accurate treatment of the problem of drawing the shortest line on a surface
On the resolution of composite fractions into simpler ones
Dilucidationes super Problemate geometrico de quadrisectione trianguli a Iacobo Bernoulli olum tractato
Solutio completa problematis de quadrisectione trianguli per duas rectas inter se normales
The solution of a memorable problem by a special artifice of calculation
An easier solution of a Diophantine problem about triangles, in which those lines from the vertices which bisect the opposite sides may be expressed rationally
Solutio facilis problematis, quo quaeritur sphaera, quae datas quatuor sphaeras utcunque dispositas contingat
The integration of the differential equation dy + yydx = (A dx)/(a+2bx+cxx)2
On an outstanding paradox, which occurs in the analysis of maximums and minimums
On the summation of series contained in the form a/1 + a2/4 + a3/9 + a4/16 + a5/25 + a6/36 + etc.
De transformatione functionum duas variabiles involventium dum earum loco aliae binae variabiles introducuntur
The solution of a curious question in the scene of combinations
An easy rule for Diophantine problems which are to be resolved quickly by integral numbers
De lineis curvis non in eodem plano sitis, quae maximi minimive proprietate sunt praeditae
Analysis facilis aequationem Riccatianam per fractionem continuam resolvendi
Observations about continued fractions contained in the form S = n/(1+(n+1)/(2+(n+2)/(3+(n+3)/(4+etc.))))
De serie maxime memorabili, qua potestas binomialis quaecunque exprimi potest
On divisors of numbers of the form mxx + nyy
On the continued fractions of Wallis
A method for gathering the sums of infinite series by investigating differential formulas
On remarkable series, by which the sines and cosines of multiplied angles may be expressed
Investigatio quadrilateri, in quo singularum angulorum sinus datam inter se teneant rationem, ubi artificia prorsus singularia in Analysi Diophantea occurrunt
About geometry and spheres
A commentary on the continued fraction by which the illustrious La Grange has expressed the binomial powers
Analysis facilis aequationem Riccatianam per fractionem continuam resolvendi
De integralibus quibusdam inventu difficillimis
Solution succincta et elegans problematis, quo quaeruntur tres numeri tales, ut tam summae quam differentiae binorum sint quadrata
On a problem of geometry resolved by Diophantine analysis
On cases for which the formula x4 + mxxyy + y4 can be reduced to a square
Solution to some curious problems of mechanics
On the problem of orthogonal trajectories, translated to surfaces
De binis formulis speciei xx + myy et xx + nyy inter se concordibus et discordibus
A more accurate investigation into brachistochrones
De vera brachystochrona seu linea celerrimi descensus in medio resistente
De brachystochrona in medio resistente, dum corpus ad centrum virium utunque attrahitur
Unpublished letter from Euler to Lagrange
On finding three or more numbers, the sum of which is a square, while the sum of the squares is a fourth power
An easy resolution to a most difficult question, where this most general form vvzz(axx+byy)2 + Δxxyy(avv+bzz)2 is required to be reduced to a square
De problemate curvarum synchronarum, eiusque imprimis inverso
Methodus nova et generalis problema synchronarum inversum aliaque eiusdem generis resolvendi
De curvis quarum radii osculi tenent rationem duplicatam distantiae a puncto fixo earumque mirabilibus proprietatibus
De unciis potestatum binomii earumque interpolatione
A solution to a problem of Fermat, on two numbers of which the sum is a square and the sum of their squares is a biquadrate, inspired by the Illustrious La Grange
Enodatio maximi paradoxi, in problemate quodam mechanico occurentis
Solutio trium problematum difficiliorum ad methodum tangentium inversam pertinentium
On a notable advancement of Diophantine analysis
A solution of a most difficult problem, in which the two forms aaxx + bbyy et aayy + bbxx must be rendered into squares
An investigation of two numbers of the form xy(x4-y4), of which the product and the quotient will be a square
On two numbers, of which the sum when increased or decreased by the square of one of them produces a square
Elucidations about two sums of pairs of biquadratics, which are mutually equal
On the resolution of the equation 0 = a + bx + cy + dxx + exy + fyy + gxxy + hyy + ixxyy by rational numbers
A new and easy method for reducing cubic and biquadratic forms to squares
Solutio problematis ad analysin infinitorum indeterminatorum referendi
De infinitis curvis algebraicis, quarum longitudo indefinita arcui elliptico aequatur
De infinitis curvis algebraicis, quarum longitudo arcui parabolico aequatur
De binis curvis algebraicis eadem rectificatione gaudentibus
On algebraic curves, all of whose arcs may be measured by circular arcs
Solution to a very difficult analytical problem
Integration of a remarkable type of differential equation in analytical functions with two variables
The Complete works of L. Euler in French
Solution of a problem proposed in the Leipzig Acts in 1745
Letters of L. Euler and Chr. Goldbach 1729-1763
A few lines from a letter of L. Euler to Albrecht von Haller, from 4 July 1744
Commentary on the use of sublime mathematics
Collected arithmetical commentaries
Tractatus de numerorum doctrina capita sedecim, quae supersunt
Thoughts concerning Diophantine analysis
A theorem of arithmetic and its proof
On magic squares
Research into the problem of three square numbers such that the sum of any two less the third one provides a square number
Further and curious research into the problem of four positive numbers and an arithmetical proportion such that the sum of any two is always a square number
On amicable numbers
A fragment of a commentary, the most part on finding the relation between the sides of triangles of which the area is able to be expressed rationally, and of triangles in which the lines from each angle bisecting the opposite line are rationals
A letter from L. Euler to Christoph Jezler, dated 4 May 1765
Three letters of Euler to Frederick the Great in 1743
Einige Zeilen aus Briefen von L. Euler an Johannes Schorndorf vom 27 April 1743 und vom 26 Mai 1750
Vierzehn Briefe oder Auszuge aus Briefen von L. Euler an W.J.G. Karsten 1758-1765
Two letters of Euler to Bulffinger in 1738
Posthumous works in mathematics and physics
Arithmetical fragments taken from the mathematical day book
On the logarithms of negative and imaginary numbers
An algebraic problem of finding four numbers with the sum of the three others
Series maxime idoneae pro circuli quadratura proxime invenienda
Enodatio insignis cuiusdam paradoxi circa multiplicationem angulorum observati
The true valuation of the risk in games
Reflections on a singular kind of lottery named the Genoese Lottery
Analysis of a problem in the calculus of probabilities
Foundations of Differential Calculus, volume 3
Solution of problems from the theory of maxima and minima
Thoughts on certain integral formulas for which the values can be expressed under certain circumstances by the squaring of the circle
On curved lines, the rectification of which is measured by given quadratures
On the comparison of irrectifiable curved arcs
Continuation of some fragments taken from the Mathematics day book
Six letters to Nicholas Bernoulli II of Basel, dated 1742 to 1745
Two letters to Frederick II, King of Prussia, sent in the years 1749 and 1763
Eighteen letters to Lagrange from 1755 to 1775
Statics
Vera vires existimandi ratio
De motu corporum circa punctum fixum mobilium
On the motion of a body on a moving surface
De motu corporum in tubo rectilineo mobili circa axem fixum, per ipsum tubum transeuntem
Dissertation on the motion of enclosed bodies in a rigid tube mobile around a fixed axis
De motu corporum in tubis circa punctum fixum mobilibus
Recensio litterarum a Cl. D. Bernoullio basilea die 26. Oct. 1735 ad me datarum, una cum annotationibus meis
De oscillationibus annulorum elasticorum
Von der Kraft der Rammen, Pfahle einzuschlagen
To determine the effect of a hydraulic machine invented by Mr. Segner, a Professor at Gottingen
Astronomia mechanica adjecta Digressione de cometa A. 1757
Solutio duorum problematum, Astronomiam mechanicam spectantium
New astronomical tables for calculating the position of the sun
De emendatione tabularum lunarium per observationes eclipsium lunae
Tria capita ex opere quodam majori inedito de theoria lunae
De atmosphaera lunae ex eclipsi colis annulari evicta
De motu cometarum in orbitis parabolicis, solem in foco habentibus
Research into the inequalities caused by planetary motion by random forces
An Introduction to Natural Science
Constructio manometri densitatem aeris quovis tempore accurate monstrantis
General theory of dioptrics
Seven chapters of a work on dioptrics
Research to serve for the perfection of glasses
De amplificatione campi apparentis in telescopiis
Concerning the construction of microscopes
Reflections on the determination of compass readings
Research on the discovery of the currents of the sea
Recensio Dissertationis de ventis
Thoughts on the formation of the voice
Meditation on experiments made recently on the firing of a cannon
Several pieces about monads
Determination of the prinicples of motion of blood through arteries
Fragments from the mathematical day book
Three unpublished from Euler to Johann Bernoulli I, 1729-1737
Unpublished letters from Euler to d'Alembert
Several lines of a letter from Euler to Johann Bernoulli I from August 27, 1737
Fourteen letters from Euler to P. L. M. de Maupertuis, 1752-1759
Extracts of letters from Euler to Johann Bernoulli I, 1739-1740
Extracts of letters from Euler to Johann Bernoulli I, 1728-1729
The correspondence between Leonhard Euler and Johann I Bernoulli, 1727-1740
The correspondence between Leonhard Euler and Daniel Bernoulli
Several lines of a letter from Euler to the "Royal Society" dated October 21/November 1, 1768
Letter from Euler to J. d'Alembert from February 15, 174