The Eneström Index. In 1913, Swedish mathematician Gustav Eneström completed a comprehensive survey of Euler's works. He counted and enumerated 866 distinct works, including books, journal articles, and some letters he deemed to be especially important. Each of these was assigned a number, from E1 to E866, which is now referred to as the "Eneström number." Most historical scholars today use Eneström numbers to identify Euler's writings quickly.

Euler Translation. Since roughly 80% of Euler's works were published in Latin, translation into modern languages is crucial in order to understand his contributions to science and mathematics. If you are contemplating a particular translation project, please contact Erik Tou (etou@uw.edu) or Chris Goff (cgoff@pacific.edu), using "Euler Translation Notice" as your subject heading.

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Publications from 1770

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E401: Nouvelle manière de comparer les observations de la lune avec la théorie

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E402: Du mouvement des absides des satellites de Jupiter

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E403: Des Herrn Leonhard Eulers nothige Berechnung zur Einrichtung einer Witwencasse

Publications from 1771

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E404: Dioptricae pars tertia

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E405: Solutio problematis, quo duo quaeruntur numeri, quorum productum tam summa quam differentia eorum sive auctum sive minutum fiat quadratum

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E406: Observationes circa radices aequationum

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E407: Problema algebraicum ob affectiones prorsus singulares memorabile

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E408: De curva rectificabili in superficie sphaerica

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E409: Sectio tertia de motu fluidorum lineari potissimum aquae

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E410: Genuina principia doctrinae de statu aequilibrii et motu corporum tam perfecte flesibilium quam elasticorum

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E411: De ictu glandium contra tabulam explosarum

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E412: Solution d'une question tres difficile dans le calcul des probabilités

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E413: De promotione navium sine vi venti (Mémoire sur la manière de suppléer à l'action du vent sur les grands vaisseaux)

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E414: Investigatio perturbationum quibus planetarum motus ob actionem eorum mutuam afficiuntur.

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E415: Sur le roulis et le tangage

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E416: Meditationes in quaestionem utrum motus medius planetarum semper maneat aeque velox, an successu temporis quampiam mutationem patiatur? & quaenam sit ejus causa? …

Publications from 1772

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E417: Lettres a une princesse d'Allemagne sur divers sujets de physique & de philosophie

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E418: Theoria motuum lunae

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E419: De solidis quorum superficiem in planum explicare licet

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E420: Methodus nova et facilis calculum variationum tractandi

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E421: Evolutio formulae integralis ∫x f-1 dx (log x)m/n integratione a valore x=0 ad x=1 extensa

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E422: Problematis cuiusdam geometrici prorsus singularis evolutio

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E423: Considerationes cyclometricae

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E424: Sectio quarta de motu aeris in tubis

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E425: De perturbatione motus terrae ab actione Veneris oriunda

Publications from 1773

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E426: Théorie complette de la construction et de la manoeuvre des vaisseaux

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E427: Problematis cuiusdam Diophantei evolutio

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E428: Observationes circa bina biquadrata, quorum summam in duo alia biquadrata resolvere liceat

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E429: De variis integrabilitatis generibus

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E430: Observationes circa aequationem differentialem y dy + My dx + N dx = 0

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E431: Consideratio aequationis differentio-differentialis (a+bx)ddz + (c+ex)(dx dz/x) + (f+gx)(z dx2/xx) = 0

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E432: Exercitationes analyticae

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E433: Digressio de traiectoriis tam orthogonalibus quam obliquangulis

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E434: De collisione corporum gyrantium

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E435: De collisione corporum pendulorum, tam obliqua, quam motu gyratorio perturbata

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E436: De vera tautochrona in fluido

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E437: De tautochrona in medio rarissimo, quod resistit in ratione multiplicata quacunque celeritatis

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E438: Dilucidationes de tautochronismo

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E439: De chordis vibrantibus disquisitio ulterior

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E440: Animadversiones in solutionem Bernoullianam de motu chordarum ex duabus partibus diversae crassitiei compositarum Tomo XVI Novorum Commentariorum

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E441: De motu vibratorio chordarum ex partibus quotcunque diversae crassitiei compositarum

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E442: De motu vibratorio chordarum crassitie utcunque variabili praeditarum

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E443: De motu vibratorio laminarum elasticarum, ubi plures novae vibrationum species hactenus non pertractatae evolvuntur

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E444: De motu gravium citissimo super curvis specie datis

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E445: Novae demonstrationes circa resolutionem numerorum in quadrata

Publications from 1774

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E446: Instruction détaillée pour porter les lunettes de toutes les différentes espèces au plus haut degré de perfection dont elles sont susceptibles

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E447: Summatio progressionum sin(φλ) + sin(2φλ) + sin(3φλ) + ... + sin(nφλ); cos(φλ) + cos(2φλ) + cos(3φλ) + ... + cos(nφλ)

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E448: Nova series infinita maxime convergens perimetrum ellipsis exprimens

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E449: Demonstrationes circa residua ex divisione potestatum per numeros primos resultantia

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E450: Nova ratio quantitates irrationales proxime exprimendi

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E451: Solutio problematis de inveniendo triangulo, in quo rectae ex singulis angulis latera opposita bisecantes sint rationales

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E452: Resolutio aequationis Ax2 + 2Bxy + Cy2 + 2Dx + 2Ey + F = 0 per numeros tam rationales quam integros

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E453: Insignes proprietates serierum sub hoc termino generali contentarum x = 1/2∙(a+b/√k)(p+qk)n + 1/2∙(a-b/√k)(p-qk)n

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E454: De resolutione irrationalium per fractiones continuas, ubi simul nova quaedam et singularis species minimi exponitur

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E455: Determinatio motus oscillatorii in praecedente dissertatione pertracti, ex primus mechanicae principiis petita

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E456: De pressione ponderis in planum cui incumbit

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E457: De harmoniae veris principiis per speculum musicum repraesentatis

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E458: Nova methodus motus planetarum principalium ad tabulas astronomicas reducendi

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E459: Disquitio de lentibus obiectivis triplicatis, quae vel nullam confusionem pariant vel etiam datam confusionem a reliquis lentibus ortam destruere valeant

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E460: De applicatione lentium obiectivarum compositarum ad omnis generis telescopia

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E461: Extrait d'un lettre de M. Euler le pere à M. Bernoulli concernant le Mémoire imprimé parmi ceux de 1771, p 318

Publications from 1775

E462: De valore formulae integralis ∫ (zm-1 ± zn-m-1)/(1 ± zn) dz casu quo post integrationem ponitur z=1

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E463: De valore formulae integralis ∫ (zλ-ω ± zλ+ω)/(1 ± z)(dz/z)(log z)μ casu quo post integrationem ponitur z = 1

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E464: Nova methodus quantitates integrales determinandi

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E465: Demonstratio theorematis Neutoniani de evolutione potestatum binomii pro casibus, quibus exponentes non sunt numeri integri

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E466: Problema Diophanteum singulare

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E467: De tabula numerorum primorum usque ad millionem et ultra continuanda, in qua simul omnium numerorum non primorum minimi divisores exprimantur

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E468: De oscillationibus minimis penduli quotunque pondusculis onusti

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E469: De motu oscillatorio binarum lancium ex libra suspensarum

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E470: Explicatio motus oscillatorii mirabilis in libra maiore observati

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E471: De motu turbinatorio chordarum musicarum; ubi simul universa theoria aequilibrii quam motus corporum flexibilium simulque etiam elasticorum breviter explicatur

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E472: Commentatio hypothetica de periculo a nimia cometae approponquatione metuendo

Publications from 1776

E473: Éclaircissemens sur les établissemens publics en faveur tant des veuves que des morts

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E474: Solutio quorundam problematum Diophanteorum

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E475: Speculationes analyticae

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E476: Observationes circa novum et singulare progressionum genus

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E477: Meditationes circa singulare serierum genus

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E478: Formulae generales pro translatione quacunque corporum rigidorum

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E479: Nova methodus motum corporum rigidorum degerminandi

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E480: Regula facilis pro diiudicanda firmitate pontis aliusve corporis similis excognita firmitate moduli

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E481: De gemina methodo tam aequilibrium quam motum corporum flexibilium determinandi et utriusque egregio consensu

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E482: De pressione funium tensorum in corpora subiecta eorumque motu a frictione impedito. Ubi praesertim methodus traditur …

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E483: De traiectu citissimo stellae per duos circulos almucantarath datos pro qualibet elevatione poli. Auctore L. Eulero

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E484: De circulo maximo fixo in coelo constituendo, ad quem orbitae planetarum et cometarum referantur. Auctore L. Eulero

Publications from 1777

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E485: Réponse à la question proposée par l'académie royale des sciences de Paris, pour l'année 1770

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E486: Réponse à la question proposée par l'académie royale des sciences de Paris, pour l'année 1772

Publications from 1778

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E487: Réflections de Mr. L. Euler sur quelques nouvelles expériences optiques, communiquées a l'academie des sciences, par Mr. Wilson

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E488: Observationes in praecedentem dissertationem illustris Bernoulli

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E489: De formulis exponentialibus replicatis

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E490: De repraesentatione superficiei sphaericae super plano

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E491: De proiectione geographica superficiei sphaericae

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E492: De proiectione geographica Deslisliana in mappa generali imperii russici usitata

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E493: Vera theoria refractionis et dispersionis radiorum rationibus et experimentis confirmata

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E494: De figura quam ventus fluido stagnanti inducere valet

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E495: Considerationes super problemate astronomico in tomo commentarior. veter. IV. pertractato. Auctore L. Eulero

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E496: De figura apparente annuli Saturni pro eius loco quocunque respectu terrae. Auctore L. Eulero

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E497: De apparitione et disaparitione annuli Saturni. Auctore L. Eulero

Publications from 1779

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E498: Extrait d'un lettre de M. Euler à M. Beguelin en Mai 1778

Publications from 1780

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E499: De integratione formulae ∫ (dx log x)/√(1-xx) ab x=0 ad x=1 extensa

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E500: De valore formulae integralis ∫(xa-1 dx)/(log x)∙(1–xb)(1–xc)/(1–xn) a termino x=0 usque ad x=1 extensae