1les. Hac methodo puncta Trajectoriæ inveniuntur expeditiſſime,
niſi mavis Curvam, ut in conſtructione ſecunda, deſeribere Me
chanice.
chanice.
DE MOTU
CORPORUM
CORPORUM
PROPOSITIO XXIII. PROBLEMA XV.
Trajectoriam deſcribere quæ per data quatuor puncta tranſibit, & rec
tam continget poſitione datam.
tam continget poſitione datam.
Cas.1. Dentur tangens HB,punctum contactus B,& alia tria
puncta C, D, P.Junge BC,& agendo PSparallelam BH,
& PQparallelam BC,comple parallelogrammum BSPque
50[Figure 50]
Age BDſecantem SPin T,& CDſecantem PQin R.De
nique, agendo quamvis tripſi TRparallelam, de PQ, PS
abſcinde Pr, Ptipſis PR, PTproportionales reſpective; &
actarum Cr, Btconcurſus d(per Lem. xx) incidet ſemper in
Trajectoriam deſcribendam.
puncta C, D, P.Junge BC,& agendo PSparallelam BH,
& PQparallelam BC,comple parallelogrammum BSPque
50[Figure 50]Age BDſecantem SPin T,& CDſecantem PQin R.De
nique, agendo quamvis tripſi TRparallelam, de PQ, PS
abſcinde Pr, Ptipſis PR, PTproportionales reſpective; &
actarum Cr, Btconcurſus d(per Lem. xx) incidet ſemper in
Trajectoriam deſcribendam.