Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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cam CA, ex A, facilius attolli motu recto, quàm circulari; cum ſci
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licet cuiuſdam quaſi reflexionis opera eodem tempore vtraque extremi
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tas æquali motu attollitur. </
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Theorema
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81.
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Fig.
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7.
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Tab.
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1.</
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Si verò applicetur potentia extra centrum vectis v. g. in
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F,
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poſito centro in
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A,
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producitur impetus minor ab
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F,
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verſus
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A; </
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ab verò verſus
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E,
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producitur
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eiuſdem perfectionis proportionaliter, cuius eſt ab
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F,
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verſus
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A; denique ab E,
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verſus B, producitur quidem vnum punctum, vel vnus gradus impetus
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eiuſdem perfectionis cum eo, qui productus eſt in F, & in E (ſupponi
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tur enim ex. gr. vnus tantùm gradus in F, & in E, productus) at verò
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producuntur alij imperfectiones. </
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<
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">v.g. in D, præter æquè perfectum pro
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ducuntur 3. alij adæquantes perfectionem prioris; </
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<
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ſimiles ijs, qui ſunt in D, producuntur 5. alij adæquantes prioris perfe
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ctionem in B7; atque ita deinceps per numeros impares, & quadrata,
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nullus tamen producitur perfectioris entitatis. </
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Theorema
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82.
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Determinatur hæc diuerſa perfectio impetus à diuerſa perfectione motus,
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quatenus fit tali modo
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; </
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<
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">quæ non poteſt explicari per impetum remiſſio
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rem, vel intenſiorem; </
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<
s
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">nam cum ſit tantùm impetus inſtitutus propter
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motum; </
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<
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motus; </
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<
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">igitur ſi tali tantùm motu data pars mobilis moueri poteſt; haud
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dubiè talis tantùm impetus, ex quo ſequitur talis motus, in ea produ
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cetur, & tali modo. </
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Theorema
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83.
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Perfectio impetus non petitur tantùm à perfectione motus ſi conſideretur
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ſeorſim entitas eiuſdem impetus; </
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">ſed debet comparari tota collectio omnium̨
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partium impetus, quæ inſunt datæ parti ſubiecti, cum tota collectione partium
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quæ alteri parti mobilis inſunt
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; </
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<
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">quippe plures partes impetus poſſunt ha
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bere eum motum, vel potius eam motus perfectionem, quam pauciores
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haberent; igitur perfectio illarum eſt ab ipſo motu, quatenus cum ipſo
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partium numero comparatur. </
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Theorema
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84.
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Impetus perfectus producere poteſt imperfectum
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; patet in vecte; </
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tentia, ſen pondus extremitati appenſum producit in ſe impetum, à quo
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deinde impetus in toto vecte producitur per Th.42. ſed impetus pon
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deris appenſi eſt eiuſdem perfectionis cum impetu producto in ipſa ve
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ctis extremitate, ex qua pendet; </
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<
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verſus centrum eiuſdem vectis producitur impetus imperfectior per
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Th.82. igitur imperfectus à perfecto producitur. </
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Theorema
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85.
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Impetus perfectus nunquam producitur ab imperfecto, per Ax.
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3.
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num.
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2.
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adde quod nunquam effectus perfectio ſuperat perfectionem cauſæ; </
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perfectum ab imperfecto; </
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<
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