Marci of Kronland, Johannes Marcus - De proportione motus figurarum recti linearum et circuli quadratura ex motu

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THEOREMA VII.

Impulſus centri grauitatis totus mouet, cùm huius interuallum ab
hypomochlio eſt œquale ſemidiæmetro figuræ motús.

Impulſus enim centri grauitatis prohibetur à motu; cùm vel
ipſum centrum, vel pars aliqua à centro mota in hypomochlio
quieſcit. At verò cùm interuallum centri grauitatis eſt æqua
le ſemidiametro figuræ motûs; neque ipſum centrum, neque ali
qua pars à centro mota in hypomochlio quieſcit: totus igitur
impulſus movet.

THEOREMA VIII.

Impulſus movens ad totum impulſum rationem habet, quam ſegmen
tum ſemidiametri ab hypomochlic & centro grauitatis interceptum, ad
ſemidiametrum figuræ motûs.

Cùm hypomochlium ſit trutina; totusque impulſus quieſcat,
cùm centrum hypomochlio occurrit, per theor. 6 totus verò
impulſus moveat, cùm huius à centro intervallum eſt æquale
ſemidiametro figuræ motùs per theore: 7. erit impulſus mo
uens æqualis ſegmento ſemidiemetri inter centrum grauitatis
& hypomochlium intercepto In figurâ ſequenti BEC ſit A centrum
grauitatis, DE hypomochlium, & AC ſimidiameter æqualis
toti impulſui: eritque DA interuallum centri grauitatis A &
hypomochlij DE, grauitas mouens centri A. Vt enim AD ad
vectem AC; ita per Axioma 2. ratio impulſús ex eodem pon
dere A appenſo.

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