The Eneström Index. In 1913, Swedish mathematician Gustaf Eneström completed a comprehensive survey of Euler's works. He 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. If you have completed a translation project, please consider submitting it to the journal Euleriana.
Other Resources. To read more on Euler and his work, check out the Euler Archive's historical information section, as well as Ed Sandifer's How Euler Did It column. Further information on Euler and 18th century science can be found on our Historical and Biographical Resources page.
Publications from 1786
E601: De symptomatibus quatuor punctorum, in eodem plano sitorum
E602: Methodus facilis omnia symptomata linearum curvarum non in eodem plano sitarum investigandi
E603: De descensu baculi super hypomochlio cylindro fixo delabentis
E604: De traiectoriis reciprocis tam rectangulis quam obliquangulis
E605: De miris proprietatibus curvae elasticae sub aequatione y = ∫(xx dx)/√(1–x4)
E607: De motu globi circa axem obliquum quemcunque gyrantis et super plano horizontali incedentis
E608: Accuratior evolutio formularum pro filorum flexibilium aequilibrio et motu inventarum
Publications from 1787
E609: Considerationes super traiectoriis tam rectangulis quam obliquangulis
E610: Novae demonstrationes circa divisores numerorum formae xx + nyy
Publications from 1813
E613: Dilucidationes in capita postrema calculi mei differentalis de functionibus inexplicabilibus
Publications from 1788
E614: Commentatio de curvis tractoriis
E615: De curvis tractoriis compositis
E617: De summatione serierum, in quibus terminorum signa alternantur
E618: Consideratio motus singularis, qui in filo perfecte flexili locum habere potest
E619: Enodatio difficultatis super figura terrae a vi centrifuga oriunda
E621: De summo usu calculi imaginariorum in analysi
E622: Specimen singulare analyseos infinitorum indeterminatae
E623: De lineis rectificabilibus in superficie sphaeroidica quacunque geometrice ducendis
E625: De viribus centripetis, ad curvas non in eodem plano sitas describendas, requisitis
E626: De motu trium corporum se mutuo attrahentium super eadem linea recta
E627: Solutio problematis mechanici
Publications from 1789
E629: Evolutio formulae integralis ∫∂x∙(1/(1–x) + 1/log(x)) a termino x=0 ad x=1 extensae
E633: De binis curvis algebraicis inveniendis, quarum arcus indefinite inter se sint aequales
E634: De motu oscillatorio tabulae suspensae et a vento agitatae
E635: Innumera theoremata circa formulas integrales, quorum demonstratio vires analyseos superare videatur
E636: De multiplicatione angulorum per factores expedienda
E637: Nova demonstratio, quod evolutio potestatum binomii Newtoniana etiam pro exponentibus fractis valeat
E638: De innumeris curvis algebraicis, quarum longitudinem per arcus parabolicos metiri licet
E639: De innumeris curvis algebraicis, quarum longitudinem per arcus parabolicos metiri licet
E640: Comparatio valorum formulae integralis ∫xp-1∂x/(1–xn)(n-q)/n a termino x=0 usque ad x=1 extensae
E641: De motu quodam maxime memorabili, satis quidem simplici, at solutu difficillimo
Publications from 1790
E642: De singulari ratione differentiandi et intagrandi, quae in summis serierum occurrit
E643: Methodus generalis investigandi radices omnium aequationum per approximationem
E644: Innumerae aequationum formae ex omnibus ordinibus, quarum resolutio exhiberi potest
E645: De curvis algebraicis, quarum longitudo exprimitur hac formula integrali ∫(vm-1 ∂v)/√(1–v2n)
E647: De methodo tangentium inversa ad theoriam solidorum translata
E648: Solutio facilis problematis, quo quaeritur circulus, qui datos tres circulos tangat
E649: De motu oscillatorio penduli circa axem cylindricum plano horizontali incumbentem
Publications from 1793
E651: Quatuor theoremata maxime notatu digna in calculo integrali
E652: De termino generali serierum hypergeometricarum
E653: De iterata integratione formularum integralium, dum aliquis exponens pro variabili assumitur
E654: Methodus facilis investigandi radium osculi ex principio maximorum et minimorum petita
E656: De integrationibus maxime memorabilibus ex calculo imaginariorum oriundis
E659: Methodus facilis omnium virium momenta respectu axis cuiuscunque determinandi
Publications from 1794
E661: Variae considerationes circa series hypergeometricas
E662: De vero valore formulae integralis ∫∂x∙(log(1/x))n a termino x=0 usque ad terminum x=1 extensae
E663: Plenior expositio serierum illarum memorabilium, quae ex unciis potestatum binomii formantur
E664: Exercitatio analytica
E665: Evolutio problematis cuius solutio analytica est difficillima dum synthetica per se est obvia
E666: Problema geometricum ob singularia symptomata imprimis memorabile
E667: De curvis hyperbolicis quae intra suas assymtotas spatium finitum includunt
E675: De valoribus integralium a termino variabilis x=0 usque ad x=∞ extensorum
E677: Methodus singularis resolvendi aequationes differentiales secundi gradus
E679: De formulis integralibus implicatis earumque evolutione et transformatione
E680: De aequationibus differentialibus cuiuscunque gradus quae denuo differentiatae integrari possunt
E681: Specimen aequationum differentialium indefiniti gradus earumque integrationis
Publications from 1795
E683: De singulari genere quaestionum Diophantearum et methodo maxime recondita eas resolvendi
E685: Exercitatio analytica, ubi imprimis seriei maxime generalis summatio traditur
E688: Specimen integrationis abstrusissimae hac formula ∫∂x/((1+x)∙(2xx–1)1/4) contentae
E690: Evolutio formulae integralis ∫∂z(3+zz)/((1+zz)∙(1+6zz+z4)1/4) per logarithmos et arcus circulares
E693: De centro simulitudinis
Publications from 1797
E694: Ulterior disquitio de formulis integralibus imaginariis
E695: Integratio succincta formulae integralis maxime memorabilis ∫∂z/((3±zz)∙(1±3zz)1/3)
E696: De casibus quibus hanc formulam x4 + kxxyy + y4 ad quadratum reducere licet
E697: Investigatio superficierum quarum normales ad datum planum productae sint omnes inter se aequales
E698: Variae speculationes super area triangulorum sphaericorum
E699: Utrum hic numerus 100009 sit primus necne inquiritur
Publications from 1798
E700: De formulis differentialibus secundi gradus quae integrationem admittunt