This was the first journal series published by the St. Petersburg Academy. Its publication eventually ran to 14 annual volumes, of which Euler published in numbers 2-14. The publication delay for each volume was often quite long: a volume's official year could lag up to 10 years behind the actual year it was printed.
Successor Journal: Novi Commentarii.
Publications from 1729
E5: Problematis traiectoriarum reciprocarum solutio
E6: Dissertatio de novo quodam curvarum tautochronarum genere
E7: Tentamen explicationis phaenomenorum aeris
Publications from 1732
E9: De linea brevissima in superficie quacunque duo quaelibet puncta iungente
Publications from 1735
E12: De innumerabilibus curvis tautochronis in vacuo
E13: Curva tautochrona in fluido resistentiam faciente secundum quadrata celeritatum
Publications from 1738
E19: De progressionibus transcendentibus seu quarum termini generales algebraice dari nequeunt
E20: De summatione innumerabilium progressionum
E22: De communicatione motus in collisione corporum
E23: De curvis rectificabilibus algebraicis atque traiectoriis reciprocis algebraicis
E24: Solutio singularis casus circa tautochronismum
E25: Methodus generalis summandi progressiones
E26: Observationes de theoremate quodam Fermatiano aliisque ad numeros primos spectantibus
E27: Problematis isoperimetrici in latissimo sensu accepti solutio generalis
E28: Specimen de constructione aequationum differentialium sine indeterminatarum separatione
E29: De solutione problematum diophanteorum per numeros integros
E30: De formis radicum aequationum cuiusque ordinis coniectatio
E31: Constructio aequationis differentialis axn dx = dy + y2 dx
Publications from 1740
E37: De motu planetarum et orbitarum determinatione
E38: Orbitae solaris determinatio
E39: Solutio problematum quorundam astronomicorum
E40: De minimis oscillationibus corporum tam rigidorum quam flexibilium. Methodus nova et facilis.
E41: De summis serierum reciprocarum
E42: De linea celerrimi descensus in medio quocunque resistente
E43: De progressionibus harmonicis observationes
E45: Additamentum ad dissertationem de infinitis curvis eiusdem generis
Publications from 1741
E46: Methodus universalis serierum convergentium summas quam proxime inveniendi
E47: Inventio summae cuiusque seriei ex dato termino generali
E49: De oscillationibus fili flexilis quotcunque pondusculis onusti
E50: Methodus computandi aequationem meridiei. Auctore L. Eulero
E52: Solutio problematum rectivicationem ellipsis requirentium
E53: Solutio problematis ad geometriam situs pertinentis
E54: Theorematum quorundam ad numeros primos spectantium demonstratio
E55: Methodus universalis series summandi ulterius promota
E56: Curvarum maximi minive proprietate gaudientium inventio nova et facilis
Publications from 1744
E69: De communicatione motus in collisione corporum sese non directe percutientium
E70: De constructione aequationum
E71: De fractionibus continuis dissertatio
E72: Variae observationes circa series infinitas
E73: Solutio problematis geometrici circa lunulas a circulis formatas
E74: De variis modis circuli quadraturam numeris proxime exprimendi
Publications from 1747
E94: De motu cymbarum remis propulsarum in fluviis
E95: De aequationibus differentialibus, quae certis tantum casibus integrationem admittunt
E96: De machinarum tam simplicium quam compositarum usu maxime lucroso
E97: De attractione corporum sphaeroidico-ellipticorum
E98: Theorematum quorundam arithmeticorum demonstrationes
E99: Solutio problematis cuiusdam a Celeberrimo Daniele Bernoullio propositi
Publications from 1750
E122: De productis ex infinitis factoribus ortis
E123: De fractionibus continuis observationes
E124: Determinatio caloris et frigoris graduum pro singulis terrae locis ac temporibus.
E125: Consideratio progressionis cuiusdam ad circuli quadraturam inveniendam idoneae
E126: De novo genere oscillationum
E127: Explicatio phaenomenorum quae a motu lucis successive oriuntur
E128: Methodus facilis computandi angulorum sinus ac tangentes tam naturales quam artificiales
E129: Investigatio curvarum quae evolutae sui similes producunt
E130: De seriebus quibusdam considerationes
E131: Emendatio tabularum astronomicarum per loca planetarum geocentrica
Publications from 1751
E157: De extractione radicum ex quantitatibus irrationalibus
E158: Observationes analyticae variae de combinationibus
E159: De motu oscillatorio corporum flexibilium
E160: De descensu corporum super plano inclinato aspero
E161: De motu corporum super plano horizontali aspero
E162: Methodus integrandi formulas differentiales rationales unicam variabilem involventes
E163: Methodus facilior atque expeditior integrandi formulas differentiales rationales
E164: Theoremata circa divisores numerorum in hac forma paa+_qbb contentorum
E165: De motu corporum flexibilium