Philosophiae naturalis principia mathematica . PRINCIPIA MATHEMATICA. Hj decrefcet refta 2)C in ratione Geometrica ad fliodiim veloci-Libsr&partes reftaj ^C aequalibus temporibus defcriptae decref-SscunDu»; ris, tatis cenc in eadem ratione. PROPOSITIO IIL PROBLEMA I. Corporis j cui dumtn Medto ftmilart reBa afcendttvel defc0tdh j reftftttur m rattone velocitatis, quodque ab uniformigravtfate urgetur , defnire motum, Corpore afcendente, expo-natur gravitas per datum quod-vis reftangulum BCy & refi-ftentia Medii initio afcenfus perredtangulum BD fumptum adcontrarias partes. Afymptotisreftangulis
Philosophiae naturalis principia mathematica . PRINCIPIA MATHEMATICA. Hj decrefcet refta 2)C in ratione Geometrica ad fliodiim veloci-Libsr&partes reftaj ^C aequalibus temporibus defcriptae decref-SscunDu»; ris, tatis cenc in eadem ratione. PROPOSITIO IIL PROBLEMA I. Corporis j cui dumtn Medto ftmilart reBa afcendttvel defc0tdh j reftftttur m rattone velocitatis, quodque ab uniformigravtfate urgetur , defnire motum, Corpore afcendente, expo-natur gravitas per datum quod-vis reftangulum BCy & refi-ftentia Medii initio afcenfus perredtangulum BD fumptum adcontrarias partes. Afymptotisreftangulis ^C, CH, per punc-tum B defcribatur Hyperbola fecans perpendiculaDEi dem _ G,g; 8z corpus afcendendo , ^ d A ; ^^ c tempore DGgd , defcribet fpatium EGge, tempore T> G B Afpatium ^cenfus totius EGB;. tempore y4B x G % D fpatium de-fcenfus BFz G , atque tempore x © 2 Gx|^i^fpatium-defcenfuszGFzezg: & velocitates corporis Crefirtenriae Medii proportiona-Jes) in horum temporum periodis erunt ^^£2), ABed, nullaABF-lT), ABzezdre(pe&.ive ; atque maxima velocitas , quanicorpus defcendendo poteftacquirere, erit 5C. Refolvarur enim reftan-gulum A H m redangukinnumera Ak, Kl, Lm, Mn,&c. quas llnt ut incrementaveloci
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