Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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per ſe.
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<
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"> Probatur primò, quia vtraque minimo impetu moueri poteſt per
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Th. 21. Secundò, quia addita minima vi impetus in F, & minima in A
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tàm facilè maior rota deſcendit, quàm minor, quia æqualiter tollitur
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æquilibrium vtriuſque: dixi per ſe, quia maior rota propter maius pon
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dus maiore affrictu motum impedit. </
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Theorema
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23.
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Poteſt vis aliqua applicata rotæ in A v.g. rotam mouere in eodem ſitu ver
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ticali; licèt nullum impetum producat.
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<
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id
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"> Probatur, quia vis minima poteſt
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deprimere rotam ABCD. v.g. per Th.21. ſed vis minima non poteſt
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producere impetum in qualibet rota, vt patet; </
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<
s
id
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">nec enim producere po
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teſt, niſi in tota rota producat per Th.33. lib. primo; ſed vis minima im
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petus tot partes impetus, producere non poteſt, quot eſſent neceſſariæ, vt
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omnibus partibus rotæ diſtribuerentur. </
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Theorema
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24.
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Hinc egregium paradoxum; </
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<
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id
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">poteſt aliquid mouere rotam, & non agere in
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rotam
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; </
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">quia vis mouens non poteſt in rotam agere, niſi impetum in ea
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producat, vt patet; </
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<
s
id
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">ſed poteſt illa vis rotam mouere licèt impetum in ea
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non producat per Th.23. igitur mouere, & non agere: </
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<
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">quod quomodo
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fiat facilè explicari poteſt; quippè illa vis ponderis. </
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<
s
id
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">v.g. quæ accedit pun
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cto A cum toto pondere ſemicirculi BA DE, grauitatione communi
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præualet grauitationi alterius ſemicirculi rotæ BC DE; </
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<
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id
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">quia ſcilicet
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maior eſt; ſic pondus vnius ſcrupuli ſuperpoſitum ingenti rupi non pro
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ducit in rupe impetum, ſed ſi fortè appendatur rupes, ſimul cum illa gra
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uitat, quod facilè concipi poteſt. </
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Theorema
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25.
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Cum deſcendit deorſum ſemicirculus BA DE, attollitur ſurſum ſemicir
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culus oppoſitus
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; </
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<
s
id
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">quia ſcilicet impetus illius producit in iſto alium impe
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tum; </
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>
<
s
id
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">nec enim corpus graue aſcendit ſurſum ſua ſponte in medio leuio
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re; igitur ab extrinſeco; </
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>
<
s
id
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">ſed nulla eſt alia cauſa applicata præter impe
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tum ſemicirculi deſcendentis; </
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<
s
id
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">igitur ab eo producitur hic impetus,
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iſque omninò æqualis; quia ſcilicet vterque mouetur motu æquali. </
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Theorema
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26.
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<
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Hinc impetus deorſum producere poteſt impetum ſurſum
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; quippe
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ad aliam lineam determinare non poteſt, quod valdè paradoxum eſt. </
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Theorema
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27.
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Hinc impetus vnius partis mobilis continui poteſt impetum ſimilem produ
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cere in alia parte eiuſdem mobilis
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; vt patet ex dictis, quod tantùm locum
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habet in motu circulari. </
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<
s
id
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">Diceret aliquis, igitur in motu recto etiam lo
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cum habebit. </
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>
<
s
id
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">Reſpondeo negando, alioqui minima potentia quodlibet
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pondus motu recto moueret etiam nullo adhibito mechanico organo; </
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<
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quia modo produceretur tantulus impetus in aliqua parte, hic produce
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ret alium, & hic alium, immò vterque ſecundo inſtanti alium produce-</
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