Euler Scholarship. Since roughly 80% of Euler's works were published in Latin, translation into current languages is crucial in order to understand his contributions to science and mathematics. Additionally, while English is the primary language of scholarship today, translations into any modern languages are highly valuable, and will help make Euler's work available to the general public.

Our Translation Goals. One of the the Euler Archive's key objectives is to provide a foundation for the translation of Euler's works. So, we provide here a translation "clearing-house": a comprehensive listing of articles, books, and letters that are being actively translated. In this way, individual translators may inform the community of Euler scholars of their current area of study while also preventing accidental duplication of a translation in progress.

Our Translation Policy. Our view is that any modern rendering of Euler's work has value, and should be made available to the community of scholars. Additionally, in the interests of quality and peer review, we encourage others to critique and review the translations presented on our site. Thus, while any translation submitted to the Euler Archive will be posted, it will be labeled initially as a draft translation; only after being reviewed and edited will a translation lose this label.

If you are contemplating a particular translation project, please contact Erik Tou (etou@uw.edu), Dominic Klyve (klyved@cwu.edu), or Chris Goff (cgoff@pacific.edu). Use "Euler Translation Notice" as your subject heading.

Follow


Publications from 1780

PDF

E501: Considerationes circa brachystochronas

PDF

E502: Sur l'effet de la réfraction dans les observations terrestres

PDF

E503: De motu oscillatorio penduli cuiuscunque, dum arcus datae amplitudinis absolvit

Publications from 1778

PDF

E504: De Theoria Lunae ad maiorem perfectionis gradum evehenda

Publications from 1780

PDF

E505: De corporibus regularibus per doctrinam sphaericam determinatis; ubi simul nova methodus globos sive coelestes sive terrestres charta obducendi traditur

PDF

E506: Dilucidationes super methodo elegantissima, qua illustris de la Grange usus est in integranda aequatione differentiali dx/√X = dy/√Y

PDF

E507: De infinities infinitis gradibus tam infinite magnorum quam infinite parvorum

PDF

E508: Determinatio onerum, quae columnae gestare valent

PDF

E509: Examen insignis paradoxi in theoria columnarum occurentis

PDF

E510: De altitudine columnarum sub proprio pondere corruentium

PDF

E511: Réflexions sur les inégalités dans le mouvement de la terre, causées par l'action de Venus

PDF

E512: Investigatio perturbationum quae in motu terrae ab actione Veneris producunter: cum tabula perturbationum istarum

Publications from 1781

PDF

E513: De curvis triangularibus

PDF

E514: De mensura angulorum solidorum

PDF

E515: De casibus quibusdam maxime memorabilibus in analysi indeterminata, ubi imprimis insignis usus calculi angulorum in analysi Diophantea ostenditur

PDF

E516: De motu oscillatorio duorum corporum ex filo super trochleas traducto suspensorum

PDF

E517: De problemate quodam mechanico, satis obvio, at solutu difficillimo

PDF

E518: Solutio gemina problematis, quo motus corporis, filo alicubi alligati, super plano horizontali quaeritur

PDF

E519: Nova methodus motum planetarum determinandi

PDF

E520: Essai d'une théorie de la résistance qu'éprouve la proue d'un vaisseau dans son mouvement

PDF

E521: Extraits de différents Lettres de M. Euler à M. le Marquis de Condorcet

Publications from 1782

PDF

E522: De formatione fractionum continuarum

E523: De tribus numeris quadratis, quorum tam summa quam summa productorum ex binis sit quadratum

PDF

E524: Trigonometria sphaerica universa, ex primis principiis breviter et dilucide derivata

PDF

E525: De motu oscillatorio mixto plurium pendulorum ex eodem corpore mobili suspensorum

PDF

E526: Investigatio motuum, quibus laminae et virgae elasticae contremiscunt

Publications from 1779

PDF

E527: Conjectura circa naturam aeris, pro explicandis phaenomenis in atmosphaera observatis

PDF

E528: Annotatio in praecendentem dissertationem.

Publications from 1782

PDF

E529: Theoria parallaxeos, ad figuram terrae sphaeroidicam accomodata

PDF

E530: Recherches sur un nouvelle espèce de quarrés magiques

Publications from 1783

PDF

E531: Opuscula analytica, tomus primus

PDF

E532: De serie Lambertine plurimisque eius insignibus proprietatibus

PDF

E533: De motu oscillatorio pendulorum ex filo tenso dependentium

PDF

E534: Dilucidationes super aliquot casus aequilibrii difficiliores

PDF

E535: Determinatio omnium motuum, quos chorda tensa et uniformiter crassa recipere potest

PDF

E536: De proprietatibus triangulorum mechanicis

PDF

E537: De figura curvae elasticae contra obiectiones quasdam Illustris d'Alembert

PDF

E538: Cautiones necessariae in determinatione motus planetarum observandae

PDF

E539: Supplementum calculi integralis pro integratione formularum irrationalium

PDF

E540: Nova methodus fractiones quascumque rationales in fractiones simplices resolvendi

PDF

E541: Evolutio producti infiniti (1–x)(1–xx)(1–x3)(1–x4)(1–x5)(1–x6) etc. in seriem simplicem

PDF

E542: De mirabilis proprietatibus numerorum pentagonalium

PDF

E543: Problematis cuiusdam Pappi Alexandrini constructio

PDF

E544: De motu libero plurium corporum filis colligatorum super plano horizontali

PDF

E545: De vi fluminis ad naves sursum trahendas applicanda

PDF

E546: De statu aequilibrii maris a viribus solis et lunae sollicitati

PDF

E547: Determinatio facilis orbitae cometae, cuius transitum per eclipticam bis observare licuit

Publications from 1780

PDF

E548: De variis motuum generibus, qui in satellitibus planetarum locum habere possunt.

PDF

E549: De motibus maxime irregularibus, qui in systemate mundano locum habere possent, una cum methodo hujusmodi motus per temporis spatium quantumvis magnum prosequendi.

Publications from 1783

PDF

E550: De seriebus, in quibus producta ex minis terminis contiguis datam constituunt progressionem

PDF

E551: Varia artificia in serierum indolem inquirendi

PDF

E552: Observationes circa divisionem quadratorum per numeros primos

PDF

E553: Observationes analyticae

PDF

E554: Disquitio accuratior circa residua ex divisione quadratorum altiorumque potestatum per numeros primos relicta

PDF

E555: De eximio usu methodi interpolationum in serierum doctrina

Publications from 1862

PDF

E556: De criteriis aequationis fxx + gyy = hz2, utrum ea resolutionem admittat nec ne?

Publications from 1783

PDF

E557: De quibusdam eximiis proprietatibus circa divisores potestatum occurrentibus

PDF

E558: Proposita quacunque protressione ab unitate incipiente, quaeritur quot eius terminos a dminimum addi oporteat, ut omnes numeri producantur

PDF

E559: Nova subsidia pro resolutione formulae axx + 1 = yy

PDF

E560: Miscellanea analytica

PDF

E561: Variae observationes circa angulos in progressione geometrica progredientes

PDF

E562: Quomodo sinus et cosinus angulorum multiplorum per producta exprimi queant

Publications from 1784

PDF

E563: De ellipsi minima dato parallelogrammo rectangulo circumscribenda

PDF

E564: Speculationes circa quasdam insignes proprietates numerorum

PDF

E565: De plurimis quantitatibus transcendentibus, quas nullo modo per formulas integrales exprimere licet

PDF

E566: De inductione ad plenam certitudinem evehenda

PDF

E567: Dilucidationes de motu chordarum inaequaliter crassarum

PDF

E568: De motu penduli circa axem cylindricum, fulcro datae figurae incumbentem, mobilis. Remota frictione

PDF

E569: De motu penduli circa axem cylindricum, fulcro datae figurae incumbentem, mobilis. Habita frictionis ratione

Publications from 1783

PDF

E570: De inventione longitudinis locorum ex observata lunae distantia a quadam stella fixa cognita. Auctore L. Eulero

Publications from 1784

PDF

E571: De eclipsibus solaribus in superficie terrae per proiectionem repraesentandis. Auctore L. Eulero

PDF

E572: Nova methodus integrandi formulas differentiales rationales sine subsidio quantitatum imaginariarum

PDF

E573: De duplici genesi tam epicycloidum quam hypocycloidum

PDF

E574: De curvis rectificabilibus in superficie coni recti ducendis

PDF

E575: De mirabilibus proprietatibus unciarum, quae in evolutione binomii ad potestatem quamcunqua evecti occurrunt

PDF

E576: De oscillationibus minimis funis libere suspensi

PDF

E577: De perturbatione motus chordarum ab earum pondere oriunda

Publications from 1781

PDF

E578: De perturbatione motus planetarum et cometarum.

Publications from 1784

PDF

E579: Calculs sur les Ballons aérostatiques faits par le feu M. Léonard Euler, tels qu'on les a trouvés sur son ardoise, après sa mort arrivée le 7 septembre 1783

Publications from 1785

PDF

E580: Opuscula analytica, tomus secundus

PDF

E581: Plenior explicatio circa comparationem quantitatum in formula integrali ∫Z dz/√(1+mzz+nz4) contentarum denotante Z functionem quamcunque rationalem ipsius zz

PDF

E582: Uberior evolutio comparationis, quam inter arcus sectionum conicarum instituere licet

PDF

E583: De numero memorabili in summatione progressionis harmonicae naturalis occurrente

PDF

E584: De insignibus proprietatibus unciarum binomii ad uncias quorumvis polynomiorum extensis

PDF

E585: De effectu frictionis in motu volutorio

PDF

E586: Considerationes super theoremate Fermatiano de resolutione numerorum in numeros polygonales

PDF

E587: Observation in aliquot theoremata illustrissimi de la Grange

PDF

E588: Investigatio formulae integralis ∫(xm-1 dx)/(1+xk)n casu, quo post intagrationem statuitur x=∞

PDF

E589: Investigatio valoris integralis ∫(xm-1 dx)/(1 – 2xkcosθ + x2k) a termino x=0 ad x=∞ extensi

PDF

E590: Theoremata quaedam analytica, quorum demonstratio adhuc desideratur

PDF

E591: De relatione inter ternas pluresve quantitates instituenda

PDF

E592: De resolutione fractionum transcendentium in infinitas fractiones simplices

PDF

E593: De transformatione serierum in fractiones continuas, ubi simul haec theoria non mediocriter amplificatur

PDF

E594: Methodus inveniendi formulas integrales, quae certis casibus datam inter se teneant rationem, ubi sumul methodus traditur fractiones continuas summandi

PDF

E595: Summatio fractionis continuae cuius indices progressionem arithmeticam constituunt dum numeratores omnes sunt unitates ubi simul resolutio aequationis Riccatianae per huiusmodi fractiones docetur

PDF

E596: De summa seriei ex numeris primis formatae 1/3 – 1/5 + 1/7 + 1/11 – 1/13 – 1/17 + 1/19 + 1/23 – 1/29 + 1/31 etc. ubi numeri primi formae 4n–1 habent signum positivum, formae autem 4n+1 signum negativum

PDF

E597: De seriebus potestatum reciprocis methodo nova et facillima summandis

PDF

E598: De insigni promotione scientiae numerorum

PDF

E599: Solutio quaestionis ad calculum probabilitatis pertinentis: Quantum duo coniuges persolvere debeant, ut suis haeredibus post utriusque mortem certa argenti summa persolvatur

PDF

E600: Solutio quarundam quaestionum difficiliorum in calculo probabilium