Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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ſegmentum GKFI aſſumit in eâ tatione grauitare, in qua eſt
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pars magnitudinis| Sphæræ? cùm & partium magnitudo ob
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curvitatem circuli, & ſitus continuò mutentur. </
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>Propoſ.
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illa ſecunda in Archimede promoto,
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impulſum partis in eà ratione
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eſſe ad impulſum totius, in quà ipſa eſt pars magnitudinis
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, vera eſt, ſi
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non ratione ſitûs mutetur illa habitudo. </
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<
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>Sed quidquid ſit de
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hac proportione partium ad ſe, quam in circulo ignoramus,
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nihil huc facit: ubi centrum grauitatis in eadem magnitudi
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ne expendimus, & ad ſe ipſum comparamus: quatenus in di
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uerſo ſitu & remotione ab hypomochlio inæqualiter ponderat. </
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<
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>Deinde verò efto demus Impulſum diuidi in eâ ratione, in quâ
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magnitudo; vt quæ pars ſit molis, eadem ſit grauitatis ſeu im
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pulſus: an propterea rectè infert in eadem ratione fieri mo
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tum? Vt ſi ſegmentum GHFI ſit duplum ſegmenti GHF,
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ac proinde grauitatem habeat duplam, duplo velociùs moue
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ri ſit neceſſe: id enim quæſtione de in æquali ponderum la
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pſu negamus. </
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<
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>Malè autem propoſ: 10. citat in contrarium: quæ
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ponit impuiſum producere motum ſibi æqualem. hoc enim de
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intenſione, non verò extenſione grauitatis ſeu impulſûs eſt in
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telligendum: ita nimirum ſi idem mobile accipiat impulſum
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duplum. </
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<
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>At verò cùm acceſſione partis nouæ augetur impul
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ſus, nihilo plus virium ad ſe mouendum
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habet. </
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<
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>Quòd
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ſi ex toto mobili grauitas ſeu impulſus colligi poſſit in partem
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V.G tertiam; tum verò pars illa celeritate triplà moueretu.
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Nam ſicuti impulſus magnus in magnam molem receptus ex
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tenuatur: ita in paruam molem contractus intenditur. </
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<
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>Atq:
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ex his patet manifeſtè, in conuellendâ illâ prop. 13. & falſa aſ
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ſumi, & ex malè aſſumptis vitiosè concludi. </
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<
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>Alter fuit R. P. Joannes Ciermans: qui in anno poſitio
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num Mathematicarum, hebdomade tertiâ, menſis Maij, ita in
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quit. </
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Putat Ioannes Marcus Marciſeſe globum ſummà violentià
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