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Philosophiae naturalis principia mathematica (1723)

Newton, Isaac, Sir, 1642-1727, Cotes, Roger, 1682-1716, ed, Adams, John, 1735-1826, former owner. BRL, Adams, Thomas Boylston, 1772-1832, former owner. BRL, John Adams Library (Boston Public Library) BRL · Amstaelodami : Sumptibus societatis · leaf 569

An illustration from Philosophiae naturalis principia mathematica, 1723, leaf 569
produc- to aufer A, & refidui fecundum terminum (nempe —eo ut evanefcat, pone=o; indeque emerget 7^=8 2Xl6XSr2 4X610/ , & erit 8B _A = 3^*—, ■ &c. hoc elt V = ~; errore tantum exiftente TtTso^»—&c. in exceffu. Quod eft Theorema Hugenlamm. Infuper, fi in Arcus B^, fsgittaAD… … Et AE (=AB) ^4;^!-^ —. &e. ^odz EtAE—DB:AD::AE:AG;QuareAG = i^-^^ —,7^—vel-*-&c.Finge ergo AG = y_ i ^ • a^ viciffim erit DG (W— ? x): DB:: DA: AE —DB. Quare AE —DB = ^-f-^-)-^-4-&c. AddeDB; & 3di Sd prodit AE =</! A:i-(--^H--^-4--^-f-&c. Hoc auferdevaloreip- 7 fius AE fupra…

Mechanics · Celestial mechanics

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