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. Full scans of Novi Commentarii volumes can be found at the Biodiversity Heritage Library online.

Predecessor Journal: Commentarii.
Successor Journal: Acta Academiae.

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Publications from 1769

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E373: Investigatio accuratior phaenomenorum quae in motu terrae diurno a viribus coelestibus produce possunt

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E374: De aequilibrio et motu corporum flexuris elasticis iunctorum

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E375: Sectio prima de statu aequilibrii fluidorum

Publications from 1770

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E390: Considerationes de traiectoriis orthogonalibus

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E391: De formulis integralibus duplicatis

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E392: Evolutio insignis paradoxi circa aequatlitatem superficierum

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E393: De summis serierum numeros Bernoullianos involventium

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E394: De partitione numerorum in partes tam numero quam specie datas

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E395: De inventione quotumque mediarum proportionalium citra radicum extractionere

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E396: Sectio secunda de principiis motus fluidorum

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E397: Expositio methodorum, cum pro determinanda parallaxi solis ex observato transitu Veneris per solem, tum pro inveniendis longitudinibus locorum super terra, ex observationibus eclipsium solis, una cum calculis et conclusionibus inde deductis

Publications from 1771

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E405: Solutio problematis, quo duo quaeruntur numeri, quorum productum tam summa quam differentia eorum sive auctum sive minutum fiat quadratum

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E406: Observationes circa radices aequationum

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E407: Problema algebraicum ob affectiones prorsus singulares memorabile

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E408: De curva rectificabili in superficie sphaerica

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E409: Sectio tertia de motu fluidorum lineari potissimum aquae

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E410: Genuina principia doctrinae de statu aequilibrii et motu corporum tam perfecte flesibilium quam elasticorum

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E411: De ictu glandium contra tabulam explosarum

Publications from 1772

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E419: De solidis quorum superficiem in planum explicare licet

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E420: Methodus nova et facilis calculum variationum tractandi

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E421: Evolutio formulae integralis ∫x f-1 dx (log x)m/n integratione a valore x=0 ad x=1 extensa

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E422: Problematis cuiusdam geometrici prorsus singularis evolutio

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E423: Considerationes cyclometricae

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E424: Sectio quarta de motu aeris in tubis

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E425: De perturbatione motus terrae ab actione Veneris oriunda

Publications from 1773

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E427: Problematis cuiusdam Diophantei evolutio

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E428: Observationes circa bina biquadrata, quorum summam in duo alia biquadrata resolvere liceat

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E429: De variis integrabilitatis generibus

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E430: Observationes circa aequationem differentialem y dy + My dx + N dx = 0

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E431: Consideratio aequationis differentio-differentialis (a+bx)ddz + (c+ex)(dx dz/x) + (f+gx)(z dx2/xx) = 0

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E432: Exercitationes analyticae

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E433: Digressio de traiectoriis tam orthogonalibus quam obliquangulis

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E434: De collisione corporum gyrantium

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E435: De collisione corporum pendulorum, tam obliqua, quam motu gyratorio perturbata

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E436: De vera tautochrona in fluido

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E437: De tautochrona in medio rarissimo, quod resistit in ratione multiplicata quacunque celeritatis

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E438: Dilucidationes de tautochronismo

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E439: De chordis vibrantibus disquisitio ulterior

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E440: Animadversiones in solutionem Bernoullianam de motu chordarum ex duabus partibus diversae crassitiei compositarum Tomo XVI Novorum Commentariorum

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E441: De motu vibratorio chordarum ex partibus quotcunque diversae crassitiei compositarum

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E442: De motu vibratorio chordarum crassitie utcunque variabili praeditarum

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E443: De motu vibratorio laminarum elasticarum, ubi plures novae vibrationum species hactenus non pertractatae evolvuntur

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E444: De motu gravium citissimo super curvis specie datis

Publications from 1774

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E447: Summatio progressionum sin(φλ) + sin(2φλ) + sin(3φλ) + ... + sin(nφλ); cos(φλ) + cos(2φλ) + cos(3φλ) + ... + cos(nφλ)

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E448: Nova series infinita maxime convergens perimetrum ellipsis exprimens

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E449: Demonstrationes circa residua ex divisione potestatum per numeros primos resultantia

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E450: Nova ratio quantitates irrationales proxime exprimendi

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E451: Solutio problematis de inveniendo triangulo, in quo rectae ex singulis angulis latera opposita bisecantes sint rationales

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E452: Resolutio aequationis Ax2 + 2Bxy + Cy2 + 2Dx + 2Ey + F = 0 per numeros tam rationales quam integros

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E453: Insignes proprietates serierum sub hoc termino generali contentarum x = 1/2∙(a+b/√k)(p+qk)n + 1/2∙(a-b/√k)(p-qk)n

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E454: De resolutione irrationalium per fractiones continuas, ubi simul nova quaedam et singularis species minimi exponitur

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E455: Determinatio motus oscillatorii in praecedente dissertatione pertracti, ex primus mechanicae principiis petita

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E456: De pressione ponderis in planum cui incumbit

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E457: De harmoniae veris principiis per speculum musicum repraesentatis

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E458: Nova methodus motus planetarum principalium ad tabulas astronomicas reducendi

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E459: Disquitio de lentibus obiectivis triplicatis, quae vel nullam confusionem pariant vel etiam datam confusionem a reliquis lentibus ortam destruere valeant

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E460: De applicatione lentium obiectivarum compositarum ad omnis generis telescopia

Publications from 1775

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E462: De valore formulae integralis ∫ (zm-1 ± zn-m-1)/(1 ± zn) dz casu quo post integrationem ponitur z=1

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E463: De valore formulae integralis ∫ (zλ-ω ± zλ+ω)/(1 ± z)(dz/z)(log z)μ casu quo post integrationem ponitur z = 1

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E464: Nova methodus quantitates integrales determinandi

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E465: Demonstratio theorematis Neutoniani de evolutione potestatum binomii pro casibus, quibus exponentes non sunt numeri integri

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E466: Problema Diophanteum singulare

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E467: De tabula numerorum primorum usque ad millionem et ultra continuanda, in qua simul omnium numerorum non primorum minimi divisores exprimantur

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E468: De oscillationibus minimis penduli quotunque pondusculis onusti

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E469: De motu oscillatorio binarum lancium ex libra suspensarum

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E470: Explicatio motus oscillatorii mirabilis in libra maiore observati

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E471: De motu turbinatorio chordarum musicarum; ubi simul universa theoria aequilibrii quam motus corporum flexibilium simulque etiam elasticorum breviter explicatur

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E472: Commentatio hypothetica de periculo a nimia cometae approponquatione metuendo

Publications from 1776

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E474: Solutio quorundam problematum Diophanteorum

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E475: Speculationes analyticae

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E476: Observationes circa novum et singulare progressionum genus

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E477: Meditationes circa singulare serierum genus

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E478: Formulae generales pro translatione quacunque corporum rigidorum

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E479: Nova methodus motum corporum rigidorum degerminandi

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E480: Regula facilis pro diiudicanda firmitate pontis aliusve corporis similis excognita firmitate moduli

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E481: De gemina methodo tam aequilibrium quam motum corporum flexibilium determinandi et utriusque egregio consensu

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E482: De pressione funium tensorum in corpora subiecta eorumque motu a frictione impedito. Ubi praesertim methodus traditur …

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E483: De traiectu citissimo stellae per duos circulos almucantarath datos pro qualibet elevatione poli. Auctore L. Eulero

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E484: De circulo maximo fixo in coelo constituendo, ad quem orbitae planetarum et cometarum referantur. Auctore L. Eulero