Philosophiae Naturalis Principia Mathematica 2
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0) * Sumantur jvrojwrtionaUumt hc Cikm enim sit (per dera.) P Q : S Q s= Q R : LiBER Secund.] PRINCIPIA MATHEMATICA. 115 ad arcum R r ut S Q ad S P — V S P X S 9, seu J V Q. Nam punctis P et Q coeuntibus, ratio ultima S P — V S P X S Q, ad J V Q (°*) est aequalitatis. Quoniam decrementum arcus P Q, ex resistentia oriundum, sive hujus duplum R r, (°) est ut resistentia et; quadratum tem- R r poris conjunctim; (**) erit resistentia ut . ^ . Erat autem P Q P Q q X S P ad R r, ut S Q ad i V Q, et i...nde LE fit ut kJL^ ^ ' ^' PQqxSP PQxSPxSQ sive ut * • Namque punctis P et Q coeuntibus, S P et S Q OPxSPq coincidunt, et an^ulus P V Q fit rectus ; (p) et ob similia triangula P V Q, P S O, fit P Q ad i V.Q ut O P ad i O S. Est igitur ^^ O P X S P q ut resistentia, (p) id est, in ratione densitatis medii in P et ratione dupli-: cata velocitatis conjunctim. Auferatur duplicata ratio velocitatis, nempo 1 .'.... O S ratio , et manebit medii densitas in P ut .-_- --. Detur spiralis, SP OPxSP t' ^ (') et ob datam rationem O S ad O P, densitas medii in P erit ut JL.
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You can find similar books in the "Read Also" column, or choose other free books by Newton, Isaac, Sir, 1642-1727 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
0) * Sumantur jvrojwrtionaUumt hc Cikm enim sit (per dera.) P Q : S Q s= Q R : LiBER Secund.] PRINCIPIA MATHEMATICA. 115 ad arcum R r ut S Q ad S P — V S P X S 9, seu J V Q. Nam punctis P et Q coeuntibus, ratio ultima S P — V S P X S Q, ad J V Q (°*) est aequalitatis. Quoniam decrementum arcus P Q, ex resistentia oriundum, sive hujus duplum R r, (°) est ut resistentia et; quadratum tem- R r poris conjunctim; (**) erit resistentia ut . ^ . Erat autem P Q P Q q X S P ad R r, ut S Q ad i V Q, et i...nde LE fit ut kJL^ ^ ' ^' PQqxSP PQxSPxSQ sive ut * • Namque punctis P et Q coeuntibus, S P et S Q OPxSPq coincidunt, et an^ulus P V Q fit rectus ; (p) et ob similia triangula P V Q, P S O, fit P Q ad i V.Q ut O P ad i O S. Est igitur ^^ O P X S P q ut resistentia, (p) id est, in ratione densitatis medii in P et ratione dupli-: cata velocitatis conjunctim. Auferatur duplicata ratio velocitatis, nempo 1 .'.... O S ratio , et manebit medii densitas in P ut .-_- --. Detur spiralis, SP OPxSP t' ^ (') et ob datam rationem O S ad O P, densitas medii in P erit ut JL.
What to read after Philosophiae Naturalis Principia Mathematica 2?
You can find similar books in the "Read Also" column, or choose other free books by Newton, Isaac, Sir, 1642-1727 to read onlineMoreLess
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