Philosophiae naturalis principia mathematica . dum crefcendo vel decrefcendo asquetur femper longitudini LT>, defcribet aream ^ ^^â^^^,id eft,aream SLy^AB; qusB ; fubdufta de area priore x SL X A^ relinquit aream SL X AM. AL BParsautem tertia -^ duda itidem per motura localem norma-^ liter in eandem longitudinem, defcribet qaream Hyperbolicam ; quae fubduda dearea SLY. //^relinquet aream quasfitamABNA. Unde talis emergit Problema-lis conflruffio. Ad punda L , A, B eri-ge perpendicula Z/, Aa, Bb^ quorum^a ipfi Z 5, & B b ipfi L A Z//, LB., per punda <z, b de-fcribatur
Philosophiae naturalis principia mathematica . dum crefcendo vel decrefcendo asquetur femper longitudini LT>, defcribet aream ^ ^^â^^^,id eft,aream SLy^AB; qusB ; fubdufta de area priore x SL X A^ relinquit aream SL X AM. AL BParsautem tertia -^ duda itidem per motura localem norma-^ liter in eandem longitudinem, defcribet qaream Hyperbolicam ; quae fubduda dearea SLY. //^relinquet aream quasfitamABNA. Unde talis emergit Problema-lis conflruffio. Ad punda L , A, B eri-ge perpendicula Z/, Aa, Bb^ quorum^a ipfi Z 5, & B b ipfi L A Z//, LB., per punda <z, b de-fcribatur Hyperbola a b. Et afta chordab a claudet aream a b a areae quaefitaBAB NA aequalem. Exempl. z. Si vis centripeta ad fingulas Sphaerae particulas ten= ^dens iit reciproce ut cubus diftantiae, vel (quod perinde elt) ut cu- TEci-bbus ille applicatus ad planum quodvis datum; fcnbe â-^^-pro Vj dein X ) pro TEq-, & fiet «DiV ut ^^^^â ^/| â\TSyLT^ ^^ eft (ob continue proportionales TS^, AS^ SI) Si ducantur hujus partes tres ih. L,A Z2) ALB-XSI â¢h LDq LSl longitudinem A B, prima â~ generabit arâ¬am Hyperboli- a X cam: i§8 De. -^ FHILOSOPHI^ fecunda i 5/ aream i A B y xVrSl. VLOqcGdjus tres duiSae in longitudinem AB^ producunt areas tot-. zSIqXSL. I I Slq , â
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