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Submissions from 1780

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Considerationes circa brachystochronas, Leonhard Euler

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De altitudine columnarum sub proprio pondere corruentium, Leonhard Euler

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De corporibus regularibus per doctrinam sphaericam determinatis; ubi simul nova methodus globos sive coelestes sive terrestres charta obducendi traditur, Leonhard Euler

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De infinities infinitis gradibus tam infinite magnorum quam infinite parvorum, Leonhard Euler

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De integratione formulae int dxlx/V(1-xx) ab x=0 ad x=1 extensa, Leonhard Euler

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

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De motu oscillatorio penduli cuiuscunque, dum arcus datae amplitudinis absolvit, Leonhard Euler

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Determinatio onerum, quae columnae gestare valent, Leonhard Euler

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De valore formulae integralis int x^a-1dx/lx (1-x^b)(1-x^c)/1-x^n a termino x=0 usque ad x=1 extensae, Leonhard Euler

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De variis motuum generibus, qui in satellitibus planetarum locum habere possunt., Leonhard Euler

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Dilucidationes super methodo elegantissima, qua illustris de la Grange usus est in integranda aequatione differentiali dx/VX=dy/VY, Leonhard Euler

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Examen insignis paradoxi in theoria columnarum occurentis, Leonhard Euler

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Investigatio perturbationum quae in motu terrae ab actione Veneris producunter: cum tabula perturbationum istarum, Leonhard Euler

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

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Sur l'effet de la réfraction dans les observations terrestres, Leonhard Euler

Submissions from 1781

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

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De curvis triangularibus, Leonhard Euler

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De mensura angulorum solidorum, Leonhard Euler

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De motu oscillatorio duorum corporum ex filo super trochleas traducto suspensorum, Leonhard Euler

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De perturbatione motus planetarum et cometarum., Leonhard Euler

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De problemate quodam mechanico, satis obvio, at solutu difficillimo, Leonhard Euler

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Essai d'une théorie de la résistance qu'éprouve la proue d'un vaisseau dans son mouvement, Leonhard Euler

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Extraits de différents Lettres de M. Euler à M. le Marquis de Condorcet, Leonhard Euler

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Nova methodus motum planetarum determinandi, Leonhard Euler

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Solutio gemina problematis, quo motus corporis, filo alicubi alligati, super plano horizontali quaeritur, Leonhard Euler

Submissions from 1782

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De formatione fractionum continuarum, Leonhard Euler

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De motu oscillatorio mixto plurium pendulorum ex eodem corpore mobili suspensorum, Leonhard Euler

De tribus numeris quadratis, quorum tam summa quam summa productorum ex binis sit quadratum, Leonhard Euler

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Investigatio motuum, quibus laminae et virgae elasticae contremiscunt, Leonhard Euler

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Recherches sur un nouvelle espece de quarres magiques, Leonhard Euler

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Theoria parallaxeos, ad figuram terrae sphaeroidicam accomodata, Leonhard Euler

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Trigonometria sphaerica universa, ex primis principiis breviter et dilucide derivata, Leonhard Euler

Submissions from 1783

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Cautiones necessariae in determinatione motus planetarum observandae, Leonhard Euler

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De eximio usu methodi interpolationum in serierum doctrina, Leonhard Euler

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De figura curvae elasticae contra obiectiones quasdam Illustris d'Alembert, Leonhard Euler

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De inventione longitudinis locorum ex observata lunae distantia a quadam stella fixa cognita. Auctore L. Eulero, Leonhard Euler

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De mirabilis proprietatibus numerorum pentagonalium, Leonhard Euler

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De motu libero plurium corporum filis colligatorum super plano horizontali, Leonhard Euler

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De motu oscillatorio pendulorum ex filo tenso dependentium, Leonhard Euler

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De proprietatibus triangulorum mechanicis, Leonhard Euler

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De quibusdam eximiis proprietatibus circa divisores potestatum occurrentibus, Leonhard Euler

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De seriebus, in quibus producta ex minis terminis contiguis datam constituunt progressionem, Leonhard Euler

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De serie Lambertine plurimisque eius insignibus proprietatibus, Leonhard Euler

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De statu aequilibrii maris a viribus solis et lunae sollicitati., Leonhard Euler

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Determinatio facilis orbitae cometae, cuius transitum per eclipticam bis observare licuit, Leonhard Euler

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Determinatio omnium motuum, quos chorda tensa et uniformiter crassa recipere potest, Leonhard Euler

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De vi fluminis ad naves sursum trahendas applicanda, Leonhard Euler

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Dilucidationes super aliquot casus aequilibrii difficiliores, Leonhard Euler

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Disquitio accuratior circa residua ex divisione quadratorum altiorumque potestatum per numeros primos relicta, Leonhard Euler

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Evolutio producti infiniti (1-x)(1-xx)(1-x^3)(1-x^4)(1-x^5)etc in seriem simplicem, Leonhard Euler

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Miscellanea analytica, Leonhard Euler

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Nova methodus fractiones quascumque rationales in fractiones simplices resolvendi, Leonhard Euler

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Nova subsidia pro resolutione formulae axx+1=yy, Leonhard Euler

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Observationes analyticae, Leonhard Euler

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Observationes circa divisionem quadratorum per numeros primos, Leonhard Euler

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Opuscula analytica. Tomus primus., Leonhard Euler

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Problematis cuiusdam Pappi Alexandrini constructio, Leonhard Euler

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

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Quomodo sinus et cosinus angulorum multiplorum per producta exprimi queant, Leonhard Euler

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Supplementum calculi integralis pro integratione formularum irrationalium, Leonhard Euler

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Varia artificia in serierum indolem inquirendi, Leonhard Euler

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Variae observationes circa angulos in progressione geometrica progredientes, Leonhard Euler

Submissions from 1784

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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, Leonhard Euler

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De curvis rectificabilibus in superficie coni recti ducendis, Leonhard Euler

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De duplici genesi tam epicycloidum quam hypocycloidum, Leonhard Euler

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De eclipsibus solaribus in superficie terrae per proiectionem repraesentandis. Auctore L. Eulero, Leonhard Euler

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De ellipsi minima dato parallelogrammo rectangulo circumscribenda, Leonhard Euler

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De inductione ad plenam certitudinem evehenda, Leonhard Euler

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De mirabilibus proprietatibus unciarum, quae in evolutione binomii ad potestatem quamcunqua evecti occurrunt, Leonhard Euler

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

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De motu penduli circa axem cylindricum, fulcro datae figurae incumbentem, mobilis. Remota frictione, Leonhard Euler

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De oscillationibus minimis funis libere suspensi, Leonhard Euler

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De perturbatione motus chordarum ab earum pondere oriunda, Leonhard Euler

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De plurimis quantitatibus transcendentibus, quas nullo modo per formulas integrales exprimere licet, Leonhard Euler

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Dilucidationes de motu chordarum inaequaliter crassarum, Leonhard Euler

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Nova methodus integrandi formulas differentiales rationales sine subsidio quantitatum imaginariarum, Leonhard Euler

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Speculationes circa quasdam insignes proprietates numerorum, Leonhard Euler

Submissions from 1785

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Considerationes super theoremate Fermatiano de resolutione numerorum in numeros polygonales, Leonhard Euler

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De effectu frictionis in motu volutorio, Leonhard Euler

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De insignibus proprietatibus unciarum binomii ad uncias quorumvis polynomiorum extensis, Leonhard Euler

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De insigni promotione scientiae numerorum, Leonhard Euler

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De numero memorabili in summatione progressionis harmonicae naturalis occurrente, Leonhard Euler

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De relatione inter ternas pluresve quantitates instituenda, Leonhard Euler

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De resolutione fractionum transcendentium in infinitas fractiones simplices, Leonhard Euler

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De seriebus potestatum reciprocis methodo nova et facillima summandis, Leonhard Euler

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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+1signum negativum, Leonhard Euler

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De transformatione serierum in fractiones continuas, ubi simul haec theoria non mediocriter amplificatur, Leonhard Euler

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Investigatio formulae integralis intx^m-1dx/(1+x^k(^n casu, quo post intagrationem statuitur x=infinity, Leonhard Euler

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Investigatio valoris integralis int x^m-1dx/a=2x^kcosQ+x^2k a termino x=0 ad x=infiniti extensi, Leonhard Euler

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

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Observation in aliquot theoremata illustrissimi de la Grange, Leonhard Euler

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Opuscula analytica. Tomus secundus., Leonhard Euler

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Plenior explicatio circa xomparationem quantitatum in formula integrali intZdz/V(1+mzz+nZ^4) contentarum denotante Z functionem quamcunque rationalem ipsius zz, Leonhard Euler

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

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Solutio quarundam quaestionum difficiliorum in calculo probabilium, Leonhard Euler

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

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Theoremata quaedam analytica, quorum demonstratio adhuc desideratur, Leonhard Euler

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Uberior evolutio comparationis, quam inter arcus sectionum conicarum instituere licet, Leonhard Euler

Submissions from 1786

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Accuratior evolutio formularum pro filorum flexibilium aequilibrio et motu inventarum, Leonhard Euler

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De descensu baculi super hypomochlio cylindro fixo delabentis, Leonhard Euler