Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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numerus punctorum, ſeu partium ab ea potentia, cui ſubeſt potentia
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motrix; quia modò maior eſt niſus, modò minor. </
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Theorema
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88.
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Eadem potentia inæqualibus temporibus impetum inæqualem in perfectio
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ne producit
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; </
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<
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">accipiatur enim totum illud tempus, quo vnicum tantùm
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punctum impetus producit (vocetur inſtans) de quo in Th. 86; certè
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ſi in minori tempore agat, minùs aget, per Ax. 13. num. </
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poteſt minùs agere ratione numeri, vt patet; igitur ratione perfectio
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nis. </
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Scholium.
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">Obſeruabis ſine hoc Theoremate explicari non poſſe accelerationem
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motus naturalis, vel augmentum impetus, vt videbimus. </
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Theorema
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89.
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Impetus violenti, qui ſenſim deſtruitur in proiectis, poſitis ijſdem circum
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ſtantiis medij, & reſiſtentiæ, minori tempore minùs deſtruitur; </
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<
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jori:
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Quia hæc deſtructio habet cauſam; nam quidquid deſtruitur, ad
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exigentiam alicuius deſtruitur, per Ax. 14. num. </
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<
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">2. igitur minori
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tempore minùs deſtruitur per Ax. 13. 4. alioquin totus ſimul debe
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ret deſtrui. </
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Scholium.
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s
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">Obſeruabis etiam ſine hoc Theoremate non poſſe explicari deſtru
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ctionem impetus violenti, vt videbimus infrà. </
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Corollarium
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1.
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<
s
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">Hinc, quò potentia diutiùs manet applicata (putà malleo) percuſſio ma
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ior eſt. </
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Corollarium
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2.
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<
s
id
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">Hinc, quò impedimentum diutiùs manet applicatum, illa deſtructio
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eſt maior. </
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Corollarium
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3.
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<
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<
s
id
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">Hinc præclara eruitur ratio, cur maior lapis, quàm minor impactus
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maiorem ictum infligat; </
s
>
<
s
id
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">licèt tot partes impetus eodem inſtanti produ
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cantur in vno, quot in alio: </
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>
<
s
id
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">quia ſcilicet diutiùs manet applicatus po
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tentiæ; ſed hanc rationem explicabimus fusè lib. 10. cum de percuſ
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ſione. </
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Theorema
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90.
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Impetus propagatur neceſſariò per totum corpus impulſum, ſeu proiectum.
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<
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<
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petu moueri poſſit per Th. 18. & 33. cum etiam potentia motrix non
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ſit omnibus immediatè applicata, vt conſtat; certè ſine propagatione,
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vel diffuſione non poteſt explicari productio huius motus. </
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