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.

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Publications from 1726

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E1: Constructio linearum isochronarum in medio quocunque resistente

Publications from 1727

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E2: Dissertatio physica de sono

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E3: Methodus inveniendi traiectorias reciprocas algebraicas

Publications from 1728

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E4: Meditationes super problemate nautico, quod illustrissima regia Parisiensis Academia Scientiarum proposuit

Publications from 1729

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E5: Problematis traiectoriarum reciprocarum solutio

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E6: Dissertatio de novo quodam curvarum tautochronarum genere

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E7: Tentamen explicationis phaenomenorum aeris

Publications from 1732

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E8: Solutio problematis de invenienda curva, quam format lamina utcunque elastica in singulis punctis a potentiis quibuscunque sollicitata

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E9: De linea brevissima in superficie quacunque duo quaelibet puncta iungente

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E10: Nova methodus innumerabiles aequationes differentiales secundi gradus reducendi ad aequationes differentiales primi gradus

Publications from 1733

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E11: Constructio aequationum quarundam differentialium, quae indeterminatarum separationem non admittunt

Publications from 1735

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E12: De innumerabilibus curvis tautochronis in vacuo

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E13: Curva tautochrona in fluido resistentiam faciente secundum quadrata celeritatum

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E14: Solutio problematis astronomici ex datis tribus stellae fixae altitudinibus et temporum differentiis invenire elevationem poli et declinationem stellae. Auct. L. Eulero

Publications from 1736

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E15: Mechanica, volume 1

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E16: Mechanica, volume 2

Publications from 1738

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E17: Rechenkunst

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E18: De Indorum anno solari astronomico

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E19: De progressionibus transcendentibus seu quarum termini generales algebraice dari nequeunt

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E20: De summatione innumerabilium progressionum

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E21: Quomodo data quacunque curva inveniri oporteat aliam quae cum data quodammodo iuncta ad tautochronismum producendum sit idonea

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E22: De communicatione motus in collisione corporum

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E23: De curvis rectificabilibus algebraicis atque traiectoriis reciprocis algebraicis

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E24: Solutio singularis casus circa tautochronismum

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E25: Methodus generalis summandi progressiones

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E26: Observationes de theoremate quodam Fermatiano aliisque ad numeros primos spectantibus

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E27: Problematis isoperimetrici in latissimo sensu accepti solutio generalis

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E28: Specimen de constructione aequationum differentialium sine indeterminatarum separatione

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E29: De solutione problematum diophanteorum per numeros integros

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E30: De formis radicum aequationum cuiusque ordinis coniectatio

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E31: Constructio aequationis differentialis axn dx = dy + y2 dx

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E32: Von der Gestalt der Erden

Publications from 1739

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E33: Tentamen novae theoriae musicae

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E34: Dissertatio de igne in qua ejus natura et proprietates explicantur

Publications from 1740

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E35: Einleitung zur Rechen-Kunst zum Gebrauch des Gymnasii bey der Kayserlichen Academie der Wissenschafften in St. Petersburg

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E36: Solutio problematis arithmetici de inveniendo numero, qui per datos numeros divisus relinquat data residua

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E37: De motu planetarum et orbitarum determinatione

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E38: Orbitae solaris determinatio

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E39: Solutio problematum quorundam astronomicorum

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E40: De minimis oscillationibus corporum tam rigidorum quam flexibilium. Methodus nova et facilis.

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E41: De summis serierum reciprocarum

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E42: De linea celerrimi descensus in medio quocunque resistente

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E43: De progressionibus harmonicis observationes

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E44: De infinitis curvis eiusdem generis seu methodus inveniendi aequationes pro infinitis curvis eiusdem generis

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E45: Additamentum ad dissertationem de infinitis curvis eiusdem generis

Publications from 1741

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E46: Methodus universalis serierum convergentium summas quam proxime inveniendi

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E47: Inventio summae cuiusque seriei ex dato termino generali

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E48: Investigatio binarum curvarum, quarum arcus eidem abscissae respondentes summam algebraicam constituant

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E49: De oscillationibus fili flexilis quotcunque pondusculis onusti

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E50: Methodus computandi aequationem meridiei

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E51: De constructione aequationum ope motus tractorii aliisque ad methodum tangentium inversam pertinentibus

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E52: Solutio problematum rectivicationem ellipsis requirentium

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E53: Solutio problematis ad geometriam situs pertinentis

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E54: Theorematum quorundam ad numeros primos spectantium demonstratio

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E55: Methodus universalis series summandi ulterius promota

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E56: Curvarum maximi minive proprietate gaudientium inventio nova et facilis

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E57: Inquisitio physica in causam fluxus ac refluxus maris

Publications from 1743

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E58: Determinatio orbitae cometae qui mense Martio huius anni 1742 potissimum fuit observatus

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E59: Theoremata circa reductionem formularum integralium ad quadraturam circuli

E60: De inventione integralium, si post integrationem variabili quantitati determinatus valor tribuatur

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E61: De summis serierum reciprocarum ex potestatibus numerorum naturalium ortarum dissertatio altera, in qua eaedem summationes ex fonte maxime diverso derivantur

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E62: De integratione aequationum differentialium altiorum graduum

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E63: Démonstration de la somme de cette suite 1 + 1/4 + 1/9 + 1/16 + ...

Publications from 1742

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E64: Leonhardus Eulerus mathematicus acutissimus ad auctorem

Publications from 1744

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E65: Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti

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E66: Theoria motuum planetarum et cometarum

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E67: Beantwortung verschiedener Fragen uber die Beschaffenheit, Bewegung und Wurckung der Cometen

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E68: Fortgesetzte Beantwortung der Fragen uber die Beschaffenheit, Bewegung und Wurckung der Cometen

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E69: De communicatione motus in collisione corporum sese non directe percutientium

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E70: De constructione aequationum

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E71: De fractionibus continuis dissertatio

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E72: Variae observationes circa series infinitas

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E73: Solutio problematis geometrici circa lunulas a circulis formatas

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E74: De variis modis circuli quadraturam numeris proxime exprimendi

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E75: Solutio problematis in Novorum Actorum Eruditorum mense novembri A. 1743 propositi

Publications from 1745

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E76: Novae et correctae tabulae ad loca lunae computanda

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E77: Neue Grundsätze der Artillerie

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E78: Dissertation sur la meilleure construction du cabestan

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E79: Problema geometricum propositum publice ab Anonymo Geometra

Publications from 1748

E80: Opuscula varii argumenti

Publications from 1746

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E81: Gedancken von den Elementen der Cörper

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E82: De la force de percussion et de sa véritable mesure

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E83: Sur quelques proprietés des sections coniques, qui conviennent à une infinité d'autres lignes courbes

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E84: Leonhardi Euleri animadversio ad libri praecedentis sec. 83 et seq. de curvis elasticis

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E85: Solutio problematis catoptrici in his actis A. 1745 Mense Septembri P. I pag. 523 propositi

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E86: De motu corporum in superficiebus mobilibus

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E87: Tabulae astronomicae solis et lunae

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E88: Nova theoria lucis et colorum

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E89: De relaxione motus planetarum

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E90: Enodatio quaestionis utrum materiae facultas cogitandi tribui possit necne

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E91: Recherches physiques sur la nature des moindres parties de la matière

Publications from 1747

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E92: Rettung der Göttlichen Offenbahrung gegen die Einwürfe der Freygeister

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E93: Disquitio de bilancibus

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E94: De motu cymbarum remis propulsarum in fluviis

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E95: De aequationibus differentialibus, quae certis tantum casibus integrationem admittunt

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E96: De machinarum tam simplicium quam compositarum usu maxime lucroso

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E97: De attractione corporum sphaeroidico-ellipticorum

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E98: Theorematum quorundam arithmeticorum demonstrationes

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E99: Solutio problematis cuiusdam a Celeberrimo Daniele Bernoullio propositi

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E100: De numeris amicabilibus