Philosophiae naturalis principia mathematica . iametri & Laterarefta inveniri pofTunt, ut in CoroUario fecundo Lemraatis xix. Scholmm- Conftruflio prior evadet paulo firaplicior jungendo BT, & in eajfi opus eft, produfta capiendo Bj^ ad BP nt eil T R ad TT-, &per / agendo /d ipfi ^S?? parallelam, inque eacapiendo femper/d aequalem 5^r; & agendo reftas ^d, Cr con-currentes in d. Nam cum fmt Tr ad Ti,T R ad TT, J^B ^d TB,f cl ^d ? ? in eadem ratione ; erunt / d & T r femper squa-^ K % les. LlBERPRIHUS Trajeftoriam quaefitam 76 NATURALIS CEMoTu^les. Hac methodo punfta
Philosophiae naturalis principia mathematica . iametri & Laterarefta inveniri pofTunt, ut in CoroUario fecundo Lemraatis xix. Scholmm- Conftruflio prior evadet paulo firaplicior jungendo BT, & in eajfi opus eft, produfta capiendo Bj^ ad BP nt eil T R ad TT-, &per / agendo /d ipfi ^S?? parallelam, inque eacapiendo femper/d aequalem 5^r; & agendo reftas ^d, Cr con-currentes in d. Nam cum fmt Tr ad Ti,T R ad TT, J^B ^d TB,f cl ^d ? ? in eadem ratione ; erunt / d & T r femper squa-^ K % les. LlBERPRIHUS Trajeftoriam quaefitam 76 NATURALIS CEMoTu^les. Hac methodo punfta Trajeftoriae inveniuntur expeditiffime,.ConpoRUMnifi mavis Curvam , ut in conitrudione fecunda, defcribere Me-chanice» PROPOSITIO XXIIL PROBLEMAXV. TrajeBortam defcrthere qna per data quatuor punBa tranji ?bit, ^ reBam contmget pofitione datam. Caf. I. Dentur tangens HBy pundum contaftus B, & alia triapunfta CD, T. Junge BC, & agendo ^^ parallelam BH, 8c2^^parallelam BCy comple parallelogrammum BST^ d\ \. La^ Age^7)fecantem J!? in 7, & CT> fecantem !P^;in R. Deniique, agendo quamvis tr ipfi TR parallelam , de T ^, T S zh^fcindeyr, Tt ipfis TR, !P7proportionales refpedive; & ada-rum Cr, Bt concurfus d (per Lem. xx-) incidet femper in Tra=jedoriam defcribendam. Idm PRINGIPIA MATHEMATICA: 77 L/ ibeSIdemaliter. Primus; Revolvaiur tum angulus magnitudine datus C ^/Z circa polumB, tum radius quilibet reflilineus & utrinque produflus T)Cax-\capo]um C Notentur pundk A/, N in quibus anguli crus BC^e-cat radium illum ubi crus alterum BH concurrit cum eodem ra-dio in pundis T ik 1). Deinde ad aftam infinitam MN concur--
Size: 895px × 2793px
Photo credit: © The Reading Room / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookauthornewtonisaacsir16421727, booksubj, booksubjectmechanics
