Philosophiae naturalis principia mathematica . ranrperpetuo radius ille C!P vel C7) & anguli cros BCy & cru-ris alterius BH concurfus cum radio delineabit Trajedoriamquae^fitam. Nam fi in conftruftionibus Problematis fuperioris accedat punc-tum y^ 5, lineae Cj4 & CB coincident, & linea ^Rin uliimo luo fitu fiet tangens BH., atque adeo conllructiones ibipofitae evadent eaedem cum conltructionibus hic defcriptis. Deli-sieabit igitur cruris j5/7 concurlus cum radio lectionem Conicamper puncta C, ©, ?* tranfeuntem, & rectam jSi/tangentem in punc»XoB. ^ Ca/. X. Dentur puncta qmtuor B,
Philosophiae naturalis principia mathematica . ranrperpetuo radius ille C!P vel C7) & anguli cros BCy & cru-ris alterius BH concurfus cum radio delineabit Trajedoriamquae^fitam. Nam fi in conftruftionibus Problematis fuperioris accedat punc-tum y^ 5, lineae Cj4 & CB coincident, & linea ^Rin uliimo luo fitu fiet tangens BH., atque adeo conllructiones ibipofitae evadent eaedem cum conltructionibus hic defcriptis. Deli-sieabit igitur cruris j5/7 concurlus cum radio lectionem Conicamper puncta C, ©, ?* tranfeuntem, & rectam jSi/tangentem in punc»XoB. ^ Ca/. X. Dentur puncta qmtuor B, C, ©, T extra tangentemBJ iita. Jungebina lineis B Z), CT concurrentibus in G, tangeK- ^ K %: tigilg:.. 7§ NATURALIS DiMoTu tique occnrrentibus in H & I. Secetur tangens in -^, it-a ut,;/^aj^/^ uc ell rectan- gulum fubmedia proportio- naliinterCG&C-P&me- dia proportionali mterBII ScHT), ad rectangulum fub media proportionali inter ^G&GB &:mediapropor- tionali inter ?/ & /C; & erit ^ punctum contactus, Nam fi rectse T 1 parallela HX Trajectoriam fecet in punctis quibufvis X 6 feu rectanguli QGT ad rectangulum T)GB 8i ex ratione rectanguli BHT> ad rectangulum T I C. Invento autem contactus puncto , A, defcribetur Trajectoria ut in cafu primo, ^ E. F. Capi autem potelt punctum A vel inter puncta H & I, vel extra; & perinde Trajectoria dupliciter defcribi. PROPOSITIO XXIV. PROBLEMA XVI. Traje&onam defcrthere qua tranfihh per data trta pmSla^ reBas dt^as pofitione datas cont
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Keywords: ., bookauthornewtonisaacsir16421727, booksubj, booksubjectmechanics
