Errata for Raphson's History of Fluxions

Author: Isaac Newton

Source: MS Add. 3968, f. 593r, Cambridge University Library, Cambridge, UK

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<593r>

Emendanda in Capite ultimo Historiæ Fluxionum.

Pag 92. l. 17. lege ante annos 44 vel 45 hanc methodum invenisse ac dignitates et sub dignitatum latera in speciebus designasse hoc modo, viz^t per ${x + o}^{\frac{m}{n}}$ in seriem $x^{\frac{m}{n}} + \frac{m}{n} x^{\frac{m - n}{n}} + \frac{m m - m n}{2 n n} x^{m}$ $x^{\frac{m}{n}} + \frac{m}{n} o x^{\frac{m - n}{n}} + \frac{m m - m n}{2 n n} o o x^{\frac{m - 2 n}{n}} + \frac{m^{3} - 3 m m n - 2 m n^{3}}{6 n^{3}} o o o x^{\frac{m - 3 n}{n}} + &c$ conversam, et \ejus/ fluxiones omnes ad infinitum, primas, secundas &c per \earum/ analogiam \{illeg}/ cum terminis hujus seriei designasse, uti in \prima Newtoni/ Epistola prima ad Oldenburg. et fluxionum Scholio {illeg} sub calcem Quadraturarum annexo videre est. Hanc Epistolam conscripsit cum Leibnitio communicandam \conscripsit/ 13 Iunij Anni 1676, & alteram 24 Octob. ejusdem anni. Pag. 93 l. 27 lege ea est quam. Pag. 94 l. 30 lege Collinius initio \anni 1671 a Gregorio acceperat et anno 1675 mense Aprili cum D. Leibnitio communicasse/. Pag. 95 l. lege Perplura. Ib. l. 10 pro Societatis Regiæ lege Conc|s|essus Arbitrorum delectorum a Societate Regia. Ib. l. 41 lege 10 Decem. 1672

Emendenda in Epistolis

Pag. 108|11|. lin. {illeg} 2 pro habitu lege lubitu. p. 112 lin ult pro Series lege Analysis. pag. 114 lin 18 lege a battel between what he calls my forlorn hope & the army of disciples in which he boasts himself happy. p. 115. l. 35 lege 1673. p 120 l. 7 lege sa Pag. 117 p. 21. dele (those of the Linea celerrimo Discensus & the Linea Catenaria & Velaria)

In Capite ultimo Historiæ Fluxionum pag. 95 lin 10 pro Societatis Regiæ lege Consessus Arbitrorum delectorum a Soceitate Regia