Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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139
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adeſt contrarius impetus deſtructiuus eo modo, quo explicuimus l. 1. non
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eſt ponenda alia cauſa deſtructiua. </
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Theorema
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22.
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Hinc neceſſe eſt impetum violentum deſtrui ab impetu naturali innato
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; </
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<
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batur, quia nulla eſt cauſa extrinſeca deſtructiua ſaltem adæquatè per hT.
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20.igitur eſt intrinſeca per Ax.4. l.2. ſed intrinſeca vel eſt mobilis enti
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tas, vel grauitas, vel impetus innatus; </
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<
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">ſed mobilis entitas non eſt cauſa
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deſtructiua; nec etiam ipſa grauitas per Th.21. igitur impetus naturalis
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innatus. </
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Theorema
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23.
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Hinc vera ratio cur ſingulis inſtantibus aliquid deſtruatur,
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quia ſingulis
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inſtantibus eſt cauſa deſtructiua applicata, igitur ſingulis inſtantibus de
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ſtruit per Ax. 12. l. 1. </
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Theorema
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24.
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Hinc etiam ratio cur ſingulis instantibus, ſeu æqualibus temporibus æqua
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liter deſtruatur
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; </
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<
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">quia ſingulis inſtantibus eſt eadem cauſa deſtructiua ap
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plicata; igitur ſingulis inſtantibus æqualiter deſtruit per Ax.3.l.2.porrò
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in tantum deſtruit in quantum efficit, vt aliquid ſit fruſtrà, vt fusè di
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ctum eſt lib.1.vel in quantum exigit eius
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deſtructionẽ
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, nam perinde eſt. </
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Theorema
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25.
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Hinc etiam petitur ratio, propter quam talis portio impetus violenti de
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ſtruatur vne inſtanti
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; quia ſcilicet contraria pugnant prorata per Ax.15.
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& per Th.134.l.1. </
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Theorema
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26.
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Hinc illa inuerſa communis dicti, æqualibus temporibus æqualia deſtruun
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tur velocitatis momenta in motu violento
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; quippe eadem cauſa eidem ſub
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jecto applicata æqualibus temporibus æqualem effectum producit per
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Ax.3.l.2. ſed impetus innatus eſt cauſa deſtructiua impetus violenti per
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Th. 22. igitur æqualibus temporibus, &c. </
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Theorema
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27.
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In eadem proportione retardatur motus violentus, in qua naturalis accele
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ratur
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: </
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<
s
id
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N19779
">probatur quia ſingulis inſtantibus æqualibus acquiritur æqualis
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gradus impetus, vt ſæpè dictum eſt ſuprà; </
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>
<
s
id
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">atqui ſingulis inſtantibus de
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ſtruitur vnus gradus impetus violenti per Th.24. ſed ille gradus reſpon
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det impetui innato per Th. 25. igitur æqualibus temporibus tantùm de
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ſtruitur violenti, quantùm acquiritur naturalis; cum enim primo in
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ſtanti ſit impetus naturalis, & ſecundo tempore æquali acquiratur æqua
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lis, item tertio, quarto, &c. </
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>
<
s
id
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">certè cum impetus innatus pugnet cum vio
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lento pro rata; </
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>
<
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id
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">nec ſit potior ratio cur maiorem portionem quàm mino
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rem deſtruat, æqualem certè deſtruit, itemque ſecundo inſtanti æqua
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lem, item tertio, quarto; igitur in eadem proportione decreſcit violentus,
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ſeu retardatur, in qua naturalis acceleratur. </
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