Philosophiae naturalis principia mathematica . ad P T, & per p agendo re£tam infinitam p d ipfi S P T pa-rallelam, inq^ ca capiendo femper p D aequalem Fr, & agendoreclas Bd^Ct concurrentes in d. Nam cum fint P r ad P t, f Kad F T, pBadPBj pD ad F fin eadem ratione, erunt pD &P r femper sequales. Hac methodo punc*h TrajecToria? inveni-untur expeditiffime, nifi mavis Curvaui, ut incaiufecundo, de-fcribere Mechanice. Trajetforiam defcribere qu* per clata quatuor puii&a tranfibit, &reSiam continget pofitione datam. Cas. i. Dentur tangens HB, pun&um contacms B, & aliaf ^DLincl
Philosophiae naturalis principia mathematica . ad P T, & per p agendo re£tam infinitam p d ipfi S P T pa-rallelam, inq^ ca capiendo femper p D aequalem Fr, & agendoreclas Bd^Ct concurrentes in d. Nam cum fint P r ad P t, f Kad F T, pBadPBj pD ad F fin eadem ratione, erunt pD &P r femper sequales. Hac methodo punc*h TrajecToria? inveni-untur expeditiffime, nifi mavis Curvaui, ut incaiufecundo, de-fcribere Mechanice. Trajetforiam defcribere qu* per clata quatuor puii&a tranfibit, &reSiam continget pofitione datam. Cas. i. Dentur tangens HB, pun&um contacms B, & aliaf ^DLincla C, I>, P.* Jungfe BC, & a^cndo PS parallelam M BH .... w. C8a ] B H, & P g_parallelam B C, comple parallelogrammum B 5? Q^ Age BD fecantem »ST in T, & CD fecantem PQ_ in R. Deniq; agendo quam- vis t r ipil iR parallelarn, dePg^, PSabfcindePr, Pfipfis Piv, PT propor- tionales refpedlive; & acla- rum C r, B? concurfus af ( per Corol. 2. Lem. XX ) incidet femper in Trajec- toriam defcribendam. #. D Idem aliter* Revolvatur tum angulus magnitudinedatus CB Hcirca polumB,tum radiusquilibet rec-tilineus & u- trinq; pro-dudus D Ccirca polumC. Notenturpun&a M, Nin quibus an-guli crus B Cfecat radiumillumubicrusalterum BHconcurrit cumeodem radio in punftis D & P. Deinde ad a&am infmitam M N con-currant perpetuo radius ille CP vel CD & anguli crus CB, & cru-
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