The book Philosophiæ Naturalis Principia Mathematica was written by author Isaac Newton Here you can read free online of Philosophiæ Naturalis Principia Mathematica book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Philosophiæ Naturalis Principia Mathematica a good or bad book?
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Ent en,m fpatium illud ad fpatium L defSnZ^l motus totus fub initio ad motus iUius partem amiffanu ^ Lem e 237 } Lemma. L Quantitates differentiis fuk froportionaks^ funt continue proportiona^ les. Sic A ad ^-B ut B ad Z^-C & C ad C-D &c. & dividen- do fiec ^ ad J5 ut B ad C & C ad D &c. CÌ,E. D. Prop. IL Theor. IL Si cor pori refiflitur iu ratione ^velocitatisi é^ fola ^i infita per Medi^ am ft ni il are moveatur^ fumamjir antew tempora ccqualia : ^velocita-- tes in principiis fmgìdorum tempon...im jiwt in progrejfione Geome- trica ^ C^ fpatia fmgulis temporibus de/cripta funt ut 'veloci- tates, Cas. I. Divìdatur tempus in particiilas aequales, & fi ipfis partìcularum initiis agat vis refijftcntiis iinpui fu unico, qax fit ut veJocitas, crit decrementum vclocitatis fingulis temporis particu- lis ut eadcm vclocitas. Sunt ergo vclocitates difFerentiis fuispro- portionalcs, & propterca ( per Lem. I. Lib. IL ) continue pro- portionalcs. Proinde fi ex aquali particularum numero compo- nantur tempora quxlibet sequalia, erunt velocitates ipffs tempo- rum initiis, ut termini in progreffione continua, qui per faltum capiuntur, omiilb paffim asquali terminorum intermediorum nu- mero.
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