Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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THEOREMA III.
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Centrum grauitatis producit impulſum in omnibus partibus mobilis
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illarum magnitudini proportionalem.
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>Quia grauitas movens partium in toto eſt minor, quàm ſi
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per ſe, & extra illud totum moveatur, per I. THEOREMA;
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erit
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illarum motus minùs velox. </
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li cum centro velocitate: habent igitur à centro illum motum. </
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<
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>At verò centrum grauitatis à partibus mobilis, ex ſe verò nul
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lam habet grauitatem;
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totus impulſus æqualis grauitati
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ex omnibus partibus collectæ per THEOREMA II Igitur ut
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tota magnitudo ſeu grauitas ad totum impulſum, ita pars mo
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bilis ad partem impulſus proportionalem. </
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COROLLARIVM
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<
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>Quodlibet punctum mobilis non ſuâ, ſed vi centri gravita
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tis mouetur. </
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THEOREMA IV.
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Percußuo fit à grauitate ſeu impulſu centri, non verò à grauitate
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ſeu impulſu partium mobilis.
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<
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>Moueantur duo globi A & B interſe connexi:
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B
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in motu globum C ſibi æqualem. </
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<
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>Dico impulſum in C eſſe ma
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iorem, quàm ut æqualis ſit impulſui ex B: ac proinde illam pla
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gam ad centrum referri. </
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<
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>Nam globus B, cùm per ſe movetur,
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percuſſo æquali C, & expulſo vltimo D, à motu quieſcit per
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AXIOMA 6. </
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<
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expellit D & C,
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eo percuſſo quieſcit; Igitur globus C impulſum habet </
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