1res abſolutæ AC, IC, KC, LC,&c. erunt in progreſſione Geo
metrica. Q.E.D.Et ſimili argumento, in aſcenſu corporis, ſu
mendo, ad contrariam partem puncti A,æquales areas ABmi,
imnk, knol,&c. conſtabit quod vires abſolutæ AC, iC, kC, lC,&c.
ſunt continue proportionales. Ideoque ſi ſpatia omnia in aſcenſu &
deſcenſu capiantur æqualia; omnes vires abſolutæ lC, kC, iC, AC,
IC, KC, LC,&c. erunt continue proportionales. Q.E.D.
metrica. Q.E.D.Et ſimili argumento, in aſcenſu corporis, ſu
mendo, ad contrariam partem puncti A,æquales areas ABmi,
imnk, knol,&c. conſtabit quod vires abſolutæ AC, iC, kC, lC,&c.
ſunt continue proportionales. Ideoque ſi ſpatia omnia in aſcenſu &
deſcenſu capiantur æqualia; omnes vires abſolutæ lC, kC, iC, AC,
IC, KC, LC,&c. erunt continue proportionales. Q.E.D.
DE MOTU
CORPORUM
CORPORUM
151[Figure 151]Corol.1. Hinc ſi ſpatium deſcriptum exponatur per aream Hy
perbolicam ABNK; exponi poſſunt vis gravitatis, velocitas cor
poris & reſiſtentia Medii per lineas AC, AP& AKreſpective;
& vice verſa.
perbolicam ABNK; exponi poſſunt vis gravitatis, velocitas cor
poris & reſiſtentia Medii per lineas AC, AP& AKreſpective;
& vice verſa.
Corol.2. Et velocitatis maximæ, quam corpus in infinitum deſcen
dendo poteſt unquam acquirere, exponens eſt linea AC.
dendo poteſt unquam acquirere, exponens eſt linea AC.
Corol.3. Igitur ſi in data aliqua velocitate cognoſcatur reſiſten
tia Medii, invenietur velocitas maxima, ſumendo ipſam ad veloci-
tia Medii, invenietur velocitas maxima, ſumendo ipſam ad veloci-