Full Title: Novi Commentarii Academiae Scientiarum Imperialis Petropolitanae (New Memoirs of the Imperial Academy of Sciences in St. Petersburg)

The Novi Commentarii was the second journal series of the St. Petersburg Academy, published in 21 volumes between 1747 and 1778. It had its origins in the publication delays from the predecessor journal, the Commentarii. Articles written over the course of the previous six years were bound together into two final volumes (13 and 14), and publication then passed to the Novi Commentarii. Euler published extensively in this journal, authoring 179 articles in total.

Predecessor Journal: Commentarii.
Successor Journal: Acta Academiae.

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Publications from 1750

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E133: De superficie conorum scalenorum aliorumque corporum conicorum

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E134: Theoremata circa divisores numerorum

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E135: Variae demostrationes geometriae

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E136: De propagatione pulsuum per medium elasticum

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E137: Examen artificii navis a principio motus interno propellendi

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E138: De motu nodorum lunae eiusque inclinationis ad eclipticam variatione

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E139: Quantum motus terrae a luna perturbeter accuratius inquiritur

Publications from 1751

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E166: De reductione linearum curvarum ad arcus circulares

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E167: Solutio problematis difficillimi a Fermatio propositi

Publications from 1753

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E188: Methodus aequationes differentiales altiorum graduum integrandi ulterius promota

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E189: De serierum determinatione seu nova methodus inveniendi terminos generales serierum

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E190: Consideratio quarumdam serierum, quae singularibus proprietatibus sunt praeditae

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E191: De partitione numerorum

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E192: Solutio problematis geometrici

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E193: De perturbatione motus planetarum ab eorum figura non sphaerica oriunda

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E194: De machinis in genere

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E195: De motu tautochrono pendulorum compositorum

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E196: Emendatio laternae magicae ac microscopii solaris

Publications from 1758

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E228: De numeris, qui sunt aggregata duorum quadratorum

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E229: De constructione aptissima molarum alatarum

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E230: Elementa doctrinae solidorum

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E231: Demonstratio nonnullarum insignium proprieatatum, quibus solida hedris planis inclusa sunt praedita

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E232: De motu corporum coelestium a viribus quibuscunque perturbato

Publications from 1760

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E241: Demonstratio theorematis Fermatiani omnem numerum primum formae 4n+1 esse summam duorum quadratorum

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E242: Demonstratio theorematis Fermatiani omnem numerum sive integrum sive fractum esse summam quatuor pauciorumve quadratorum

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E243: Observatio de summis divisorum

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E244: Demonstratio theorematis circa ordinem in summis divisorum observatum

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E245: De methodo Diophanteae analoga in analysi infinitorum

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E246: Subsidium calculi sinuum

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E247: De seriebus divergentibus

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E248: De cochlea Archimedis

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E249: De aptissima figura rotarum dentibus tribuenda

Publications from 1761

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E250: Methodus inveniendi infinitas curvas isoperimetras aliave communi proprietate praeditas

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E251: De integratione aequationis differentialis (m dx)/√(1–x4) = (n dy)/√(1–y4)

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E252: Observationes de comparatione arcuum curvarum irrectificibilium

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E253: De problemativus indeterminatis, quae videntur plus quam determinata

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E254: De expressione integralium per factores

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E255: Solutio generalis quorundam problematum Diophanteorum, quae vulgo nonnisi solutiones speciales admittere videntur

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E256: Specimen de usu observationum in mathesi pura

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E257: De frictione corporum rotantium

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E258: Principia motus fluidorum

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E259: De motu et reactione aquae per tubos mobiles transfluentis

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E260: Tentamen theoriae de frictione fluidorum

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E261: Specimen alterum methodi novae quantitates transcendentes inter se comparandi; de comparatione arcuum ellipsis

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E262: Theoremata circa residua ex divisione potestatum relicta

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E263: Specimen novae methodi curvarum quadraturas et rectificationes aliasque quantitates transcendentes inter se comparandi

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E264: Demonstratio theorematis et solutio problematis in actis erud. Lipsiensibus propositorum

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E265: De aequationibus differentialibus secundi gradus

Publications from 1763

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E269: De integratione aequationum differentialium

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E270: Solutio problematis de investigatione trium numerorum, quorum tam summa quam productum nec non summa productorum ex binis sint numeri quadrati

E271: Theoremata arithmetica nova methodo demonstrata

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E272: Supplementum quorundam theorematum arithmeticorum, quae in nonnullis demonstrationibus supponuntur

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E273: Consideratio formularum, quarum integratio per arcus sectionum conicarum absolvi potest

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E274: Constructio aequationis differentio-differentialis Ay du2 + (B+Cu)du dy + (D+Eu+Fuu)ddy = 0, sumto elemento du constante

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E275: Annotationes in locum quendam Cartesii ad circuli quadraturam spectantem

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E276: Dilucidationes de resistentia fluidorum

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E277: Principia theoriae machinarum

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E278: De motu et attrutu lentium dum super catinis poliuntur

Publications from 1764

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E279: De resolutione formularum quadricarum indeterminatarum per numeros integros

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E280: De progressionibus arcuum circularium, quorum tangentes secundum certam legem procedunt

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E281: Specimen algorithmi singularis

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E282: De resolutione aequationum cuiusvis gradus

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E283: De numeris primis valde magnis

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E284: De resolutione aequationis dy + ayy dx = bxm dx

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E285: Investigatio functionum ex data differentialium conditione

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E286: De motu vibratorio fili flexilis, corpusculis quotcunque onusti

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E287: De motu vibratorio cordarum inaequaliter crassarum

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E288: Cogitationes de aggeribus construendis

Publications from 1766

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E295: De reductione formularum integralium ad rectificationem ellipsis ac hyperbolae

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E296: Elementa calculi variationum

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E297: Analytica explicatio methodi maximorum et minimorum

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E298: De insigni promotione methodi tangentium inversae

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E299: Dilucidationes de tautochronis in medio resistente

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E300: Demonstratio theorematis Bernoulliani quod ex evolutione curvae cuiuscinque rectangulae in infinitum continuata tandem cycloides naxcantur

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E301: De motu corporis ad duo centra virium fixa attracti

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E302: De motu vibratorio tympanorum

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E303: Tentamen de sono campanarum

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E304: Considerationes de motu corporum coelestium

Publications from 1767

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E322: De usu functionum discontinuarum in analysi

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E323: De usu novi algorithmi in problemate Pelliano solvendo

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E324: Proprietates triangulorum, quorum anguli certam inter se tenent rationem

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E325: Solutio facilis problematum quorundam geometricorum difficillimorum

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E326: Observationes analyticae

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E327: De motu rectilineo trium corporum se mutuo attrahentium

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E328: De motu corporis ad duo centra virium fixa attracti

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E329: De phaenomenis coeli per segmenta sphaerica diaphana spectati

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E330: De figura dentium rotarum

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E331: De motu fluidorum a diverso caloris gradu oriundo

Publications from 1768

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E345: Integratio aequationis dx/√(A+Bx+Cx2+Dx3+Ex4) = dy/√(A+By+Cy2+Dy3+Ey4)

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E346: De arcubus curvarum aeque amplis earumque comparatione

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E347: Evolutio generalior formularum comparationi curvarum inservientium

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E348: Methodus facilis motus corporum coelestium utcunque perturbatos ad rationem calculi astronomici revocandi

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E349: Disquisitio de vera lege refrationis radiorum diversicolorum

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E350: De novo microscopiorum genere ex sex lentibus composito

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E351: De telescopiis quatuor lentibus instructis eorumque perfectione

Publications from 1769

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E368: De curva hypergeometrica hac aequatione expressa y = 1.2.3.....x

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E369: Quomodo numeri praemagni sint explorandi, utrum sint primi necne

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E370: Nova criteria radices aequationum imaginarias discoscendi

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E371: Considerationes de theoria motus Lunae perficienda et imprimis de eius variatione

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E372: Annotatio quarundam cautelarum in investigatione inaequalitatum quibus corpora coelestia in motu perturbantur observandarum