Commentarii academiae scientiarum imperialis Petropolitanae
(Memoirs of the imperial academy of sciences in St. Petersburg)
The Commentarii academiae scientiarum imperialis Petropolitanae (CASP) was the first journal series published by the St. Petersburg Academy. Its publication eventaully ran to 14 annual volumes, of which Euler published in numbers 2-14.
One feature to note is that the publication lag for each journal was quite large; The years which appear as volume numbers can lag up to 10 years behind the actual year of publication. When possible, both dates are noted below.
You can view the title page, Table of Contents, and dedication/introduction (if one exists) as a pdf document by clicking on any of the links below:
- Volume 2: 1727, published 1729.
- Includes an introduction entitled "Annae Russorum Imperatici" by Christian
Goldbach, giving thanks to God for the nation, for Peter the Great, Catherine, and Peter II.
- Table of Contents
- Figures
- Volume 2 contains three of Euler's works:
- E5: Problematis traiectoriarum reciprocarum solutio
- E6: Dissertatio de novo quodam curvarum tautochronarum genere
- E7: Tentamen explicationis phaenomenorum aeris
- Volume 3: 1728, published 1732.
- Dedication
- Table of Contents
- Errata
- Figures
- Volume 3 contains three of Euler's works:
- E8: Solutio problematis de invenienda curva
- E9: De linea brevissima in superficie quacunque duo quaelibet puncta iungente
- E10: Nova methodus innumerabiles aequationes differentiales secundi gradus reducendi ad aequationes differentiales primi gradus
- Volume 4: 1729, published 1735.
- Table of Contents
- Figures
- Volume 4 contains three of Euler's works:
- E12:
De innumerabilibus curvis tautochronis in vacuo
- E13:
Curva tautochrona in fluido resistentiam faciente secundum quadrata celeritatum
- E14:
Solutio problematis astronomici ex datis tribus stellae fixae altitudinibus et temporum differentiis invenire elevationem poli et declinationem stellae
- Volume 5: 1730 and 1731, published 1738.
- Table of Contents
- Figures
- Volume 5 contains five of Euler's works:
- E19:
De progressionibus transcendentibus seu quarum termini generales algebraice dari nequeunt
- E20:
De summatione innumerabilium progressionum
- E21:
Quomodo data quacunque curva inveniri oporteat aliam quae cum data quodammodo iuncta ad tautochronismum producendum sit idonea
- E22:
De communicatione motus in collisione corporum
- E23:
De curvis rectificabilibus algebraicis atque traiectoriis reciprocis algebraicis
- Volume 6: 1732 and 1733, published 1738.
- Table of Contents
- Figures
- Volume 6 contains eight of Euler's works:
- 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 ax^n dx = dy + y^2 dx
- Volume 7: 1734 and 1735, published 1740.
- Table of Contents
- Figures
- Volume 7 contains ten of Euler's works:
- E36:
Solutio problematis arithmetici de inveniendo numero, qui per datos numeros divisus relinquat data residua
- 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
- E41:
De summis serierum reciprocarum
- E42:
De linea celerrimi descensus in medio quocunque resistente
- E43:
De progressionibus harmonicis observationes
- E44:
De infinitis curvis eiusdem generis seu methodus inveniendi aequationes pro infinitis curvis eiusdem generis
- E45:
Additamentum ad dissertationem de infinitis curvis eiusdem generis
- Volume 8: 1736, published 1741.
- Includes dedication to "Ioanni III, Russorum Imperatori", and an introduction by Christian Goldbach.
- Table of Contents
- Volume 8 contains eleven of Euler's works:
- E46:
Methodus universalis serierum convergentium summas quam proxime inveniendi
- E47:
Inventio summae cuiusque seriei ex dato termino generali
- E48:
Investigatio binarum curvarum, quarum arcus eidem abscissae respondentes summam algebraicam constituant
- E49:
De oscillationibus fili flexilis quotcunque pondusculis onusti
- E50:
Methodus computandi aequationem meridiei
- E51:
De constructione aequationum ope motus tractorii aliisque ad methodum tangentium inversam pertinentibus
- 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
- Volume 9: 1737, published 1744.
- Includes a dedication to the new Czarina Elizabeth I, and a lengthy introduction (it's all praise of Elizabeth).
- Table of Contents
- Volume 9 contains six of Euler's works:
- 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
- Volume 10: 1738, published 1747.
- Table of Contents
- Figures
- Volume 10 contains seven of Euler's works:
- E93:
Disquitio de bilancibus
- 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
- Volume 11: 1739, published 1750.
- Table of Contents
- Figures
- Volume 11 contains seven of Euler's works:
- 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
- Volume 12: 1740, published 1750.
- Table of Contents
- Figures
- Volume 12 contains four of Euler's works:
- E129:
Investigatio curvarum quae evolutae sui similes producunt
- E130:
De seriebus quibusdam considerationes
- E131:
Emendatio tabularum astronomicarum per loca planetarum geocentrica
- E132:
Methodus viri celeberrimi Leonhardi Euleri determinandi gradus meridiani pariter ac paralleli telluris, secundum mensuram a celeb. de Maupertuis cum sociis institutam
- Volume 13: 1741-1743, published 1751.
- Table of Contents
- Excerpts of letters from Daniel Bernoulli to Euler
- Figures
- Volume 13 contains five of Euler's works:
- 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
- Volume 14: 1744-1746, published 1751.
- Table of Contents
- Figures
- Volume 14 contains four of Euler's works:
- 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