Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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tur æquilibrium, quo ſublato ſua ſponte mouetur rota; </
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<
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">hic autem impe
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tus primò durat in toto deſcenſu quadrantis AD; </
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<
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">immò acceleratur tan
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tillùm motus, licèt longè minùs, quàm in funependulo propter reſiſten
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tiam ſemicirculi oppoſiti contranitentis; </
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<
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id
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">vbi verò A peruenit in D,
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non acceleratur ampliùs motus, ſed tantillùm aſcendit verſus C &, dein
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de deſcendit, tandemque quieſcit in D paucis confectis vibrationibus; </
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ſed de hoc curſu, & recurſu agemus fusè lib. ſequenti; </
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<
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id
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">alter impetus eſt
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productus ab extrinſeco, applicata ſcilicet valida potentiá, qui rotam
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agit velociore motu, vt patet, cùm præter impetum ad intra ſit etiam im
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petus productus ab extrinſeca cauſa; </
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<
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">igitur maior eſt impetus; igitur
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maior motus: </
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<
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">porrò hic impetus aliquandiu conſeruatur, vt patet expe
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rientiâ; nec eſt vlla cauſa ſufficiens applicata, à qua tam citò de
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ſtruatur. </
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Theorema
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33.
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Quando voluitur rota ab applicata valida potentia in A. v.g. per AO,
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non modo producitur impetus in ſemicirculo BA DE, ſed etiam in oppoſito
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;
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cùm vtrique mediatè vel immediatè ſit applicata ſufficienter, exemplo
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vectis. </
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Theorema
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34.
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Non destruitur per ſe impetus productus in rota ab extrinſeco.
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<
s
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"> Probatur,
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quia licèt ſingulis inſtantibus mutetur eius determinatio, vt conſtat ex
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dictis; </
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<
s
id
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">nam per ſe impetus in hoc motu eſt determinatus ad lineam re
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ctam; </
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<
s
id
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">nullus tamen impetus eſt fruſtrà: </
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<
s
id
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">quippè illud ſpatium acquiritur
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in linea curua, quod in recta percurreretur ſi nullum eſſet impedimen
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tum; </
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<
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id
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">quemadmodum enim in reflexione, quæ fit à plano immobili, nul
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lus deſtruitur impetus; </
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<
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id
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">ita nullus hîc deſtruitur; tàm enim centrum il
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lud immobile ad ſe quaſi mobile trahit, quàm planum immobile ad ſe re
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pellit. </
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<
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">Quæreret fortè aliquis, vtrum in ſemicirculo aſcendente impetus de
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ſtruatur ab impetu naturali grauitationis. </
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<
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">Reſpondeo negando, quia
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nunquam aſcendit C, niſi deſcendat A; </
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<
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">nunquam verò deſcendit A, niſi
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ſit maior vis in A quam in C, quod certum eſt; </
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<
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id
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">igitur grauitatio C impe
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dit quidem, ne ſit tantus motus in A, nunquam tamen impedit totum
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motum, cum maius eſt momentum in A; </
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<
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id
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">quod ſi æquale ſit vtrinque mo
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mentum; certè totus motus vtrinque impeditur, & hæc eſt vera ratio
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æquilibrij, de quo aliàs. </
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Theorema
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35.
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Hinc ſi nullus ſit partium affrictus, eſſet motus ille perpetuus
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; quia nul
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lus deſtruitur impetus per Th. 34. igitur ille motus eſſet perpetuus. </
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Theorema
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36.
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In maiore rota eſt maior affrictus partium, & impetus citiùs destruitur.
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Secunda pars ſequitur ex prima; hæc autem ex maiore ponderis grauita
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tione, vel in axem, vel in ſubjectum planum. </
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