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Philosophiae naturalis principia mathematica (1687)

Newton, Isaac, Sir, 1642-1727, Streater, Joseph, fl. 1687-1688, printer, Burndy Library, donor. DSI · Londini : Jussu Societatis Regiae ac Typis Josephi Streater. Prostat apud plures bibliopolas · leaf 42

An illustration from Philosophiae naturalis principia mathematica, 1687, leaf 42
Si arcuf quilibct pofrtione datm A B fnbtendatur chorda AB, & m ptmSio altquo Ay in medio cnr<vatur<£ continutf^ tangatur a reSia utrinqj pro- duSia A D j dein punSia Ay B ad in- vicem accedant &> coeant; dico quod angulns B A D fub chorda <& tangente contentus minuetur in… … vel coincidet cum tangente A d, vel dueetur inter tangentem &curvam. Sed cafus pofterior eft: contra naturam Curvaturse, er-go prior obtinet. QJE. D. Lemma. VII. Jifdem pofitk, dko quod ultima ratio arcm^ chordde &> tangentis ad invicem eji ratio dequalitatrs. Vide Fig. Lem. 6…

Mechanics · Celestial mechanics · Gravitation

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