Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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eſt tantùm ſubduplum eiuſdem poſiti in G; </
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<
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">itaque ſit BG, 10. librarum,
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æquiualet 5. libris ſtatutis in G, & AB, vni libræ poſitæ in A; </
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<
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">ſed hæc
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libra in A, habet tantùm ſubquintuplum momentum eiuſdem in G, igi
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tur 5. libræ in A, æquiualent vni in G; </
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<
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">igitur vt ſtatuatur æquilibrium,
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debent eſſe 24. libræ in A, ſeu vires æquiualentes; </
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<
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">quibus adde pondus
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abſolutum 12. librarum; erunt 36. igitur reſiſtentia ad motum circula
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rem verticalem ex triplici capite oritur. </
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<
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">Primò ex ipſo pondere abſolutè
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ſumpto, quæ communis eſt motui propagationis. </
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">Secundò, ex momento
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eiuſdem ponderis; </
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">Tertiò, ex tali genere propagationis, de quo ſuprà;
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quæ omnia ſunt apprimè tenenda, ne quis error ſubrepat. </
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Theorema
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99.
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Cum applicatur potentia circumferentiæ motus circularis; </
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">ita propagatur
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impetus, vt plures partes verſus centrum motus producantur in pondere, quod
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attollitur
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; </
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<
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">ſitque applicata potentia in
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A, dico verſus C, plures partes produci in pondere, Probatur, quia attol
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litur pondus in C, quod moueri non poteſtin A, operâ vectis AC, vt con
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ſtat ex certa hypotheſi; igitur plures partes impetus producuntur per
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rationem 6. & 7. Th.77, </
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Scholium.
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<
s
id
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">Scio quidem hoc ipſum à nemine hactenus, quod ſciam, explicatum
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eſſe; </
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<
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">atque fore vt à multis tanquam nouum, & inſolens minùs fortè
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probetur: </
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<
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id
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">quamquam illa hypotheſis hoc ipſum euincit, vulgaris certè,
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& nemini quaſi non nota; </
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<
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">qua nempè dicimus in omnibus partibus mo
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bilis, quod actu mouetur, impetum produci; </
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">& ſi quando accidat corpo
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ris ingentem molem ab applicata potentia non poſſe moueri, illud eſſe
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tantùm, quòd non poſſint produci tot partes impetus, quot ſunt neceſſa
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riæ, vt omnibus partibus ſubjecti diſtribuantur; igitur ex hac hypothe
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ſi, quæ ex manifeſtis ducitur experimentis, neceſſariò dicendum eſt plu
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res partes impetus versùs centrum vectis produci in pondere, quod at
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tollitur, cuius propagationis proportionem infrà demonſtrabimus. </
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Theorema
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100.
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Impetus, qui producitur verſus centrum vectis in pondere, licèt creſcat nu
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mero, decreſcit tamen in perfectione.
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<
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"> Probatur per Th.81. ex motu imper
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fectiore, cui reſpondet impetus imperfectior per Ax. 17.num.4. non ratio
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ne numeri, qui maior eſt per Th.99. igitur ratione entitatis, ſeu perfe
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ctionis entitatiuæ. </
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Theorema
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101.
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Tota collectio impetus, quæ in pondere ex dato puncto vectis producitur, eſt
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ad aliam collectionem alterius puncti in perfectione, vt distantia illius puncti
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à centro, ad diſtantiam huius
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: </
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<
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">probatur, quia perfectio vnius collectionis
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eſt ad perfectionem alterius, vt motus ad motum; motus verò ſunt vt
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ſpatia, ſpatia vt arcus, arcus vt ſemediametri, hæ demum, vt diſtantiæ. </
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