Catalogue Entry: NATP00204

De Analysi per aequationes numero terminorum infinitas

Author: Isaac Newton

Source: MS/81/4, Royal Society Library, London, UK

[Normalized Text] [Diplomatic Text]

[1] Curvarum Simplicium Quadratura

[2] et compositarum ex simplicibus

[3] et aliarum omnium.

[4] Numeralis æquationum affectarum resolutio.

[5] * Geometr Cartesij

[6] Literalis æquationum affectarum resolutio

[7] Alius modus easdem resolvendi.

[8] ** Denique si index rationis de x vel y sit fractio, reduco ad integrum: ut in hoc exemplo x3 xy12+xx43=0. posito y12=v, & x13=z, resultabit v6z3v+z4=0 eujus indix est v=z+z3 &c sive restituendo y12=x13+x &c et quadrando y=x23+2x43 &c.

[9] Applicatio prædictorum ad reliqua istiusmodi Problemata.

[10] Ut ad longitudines curvarum inveniendas

[11] Prædictorum conversum

[12] Ut {invenio}{inven}

[13] Hæc duo priùs adnotanda essent, si tum in mentem venerant cùm de resolutione æquationis literalis hæc verba [Sin duplo tantùm plures quotienti terminos &c] habui.

[14] vel ex data longitudine curvæ.

[15] De serie progressionum continuanda.

[16] Applicatio prædictorum ad curvas Mechanicas

[17] Conclusio, quòd hæc methodus Analytica censenda est.

[18] Præparatio pro regula prima demonstranda.

[19] Demonstratio

[20] Inventio curvarum quæ possunt quadrari.

[21] Demonstratio de resolutione æquationum affectarum.

© 2017 The Newton Project

Professor Rob Iliffe
Director, AHRC Newton Papers Project

Scott Mandelbrote,
Fellow & Perne librarian, Peterhouse, Cambridge

Faculty of History, George Street, Oxford, OX1 2RL - newtonproject@history.ox.ac.uk

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