Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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pla illius, quæ ſit poſt vnum inſtans motus, & quæ fit poſt tria tripla, poſt
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4. quadrupla, atque ita deinceps; cùm enim æqualibus temporibus æqua
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lia acquirantur velocitatis momenta, id eſt æquales impetus, impetus
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erunt vt tempora, percuſſiones vt impetus, igitur percuſſiones vt tem
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pora. </
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<
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">Dixi in primo inſtanti contactus; nam reuerâ ſecundò inſtanti con
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tactus, niſi fiat reflexio, augetur vis ictus, quia cauſa neceſſaria eſt ap
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plicata. </
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Theorema
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55.
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Hinc poſſunt comparari duæ percuſſiones duorum grauium inæqualium
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dum cadunt deorſum
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; </
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<
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nes erunt vt corpora ſeu grauitates, vt patet v.g. corpus 2. librarum poſt
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2. inſtantia motus infligit duplam percuſſionem illius, quam infligit cor
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pus vnius libræ poſt 2. inſtantia motus; </
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<
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">ſi verò tempora motus ſunt inæ
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qualia, & grauitates æquales, percuſſiones erunt vt tempora; </
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<
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">ſi demum
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grauitates inæquales, & tempora motus inæqualia, percuſſiones erunt
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in ratione compoſita ex ratione grauitatum & temporum, quæ omnia
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patent ex dictis in Th. ſuperioribus, v. g. ſit corpus duarum librarum,
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& alterum trium librarum; </
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">primum moueatur per 5. inſtantia, & ſecun
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dum 2.per 5. ratio grauitatum eſt 3/2; </
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<
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ex vtraque erit (21/10); & hæc eſt ratio percuſſionum. </
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Theorema
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56.
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Hinc poteſt ſciri ratio percuſſionis. </
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">& grauitationis eiuſdem mobilis in pri
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mo inſtanti vtriuſque, ſi cognoſcatur numerus inſtantium motus
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; </
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<
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ſingulis inſtantibus æqualis impetus accedat, vt ſæpè dictum eſt; </
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<
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erit percuſſio ad grauitationem, vt numerus inſtantium motus ad vnita
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tem, v.g. grauitatio ſit vt 4.ſitq́ue motus eiuſdem corporis per 8. inſtan
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tia; percuſſio erit ad grauitationem, vt 32. ad 4.vel vt 8.ad 1.quæ om
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nia conſtant ex dictis. </
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Theorema
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57.
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Hinc data percuſſione, ſi cognoſceretur probè numerus inſtantium motus,
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dari poſſet grauitatio ipſi æqualis
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; </
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<
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">v.g. ſit percuſſio dati corporis cadentis
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per 8.inſtantia, eius percuſſio eſt octupla grauitationis eiuſdem per Th.
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56. igitur ſi detur grauitatio octupla huius, erit æqualis datæ percuſ
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ſioni; dabitur autem grauitatio octupla, ſi detur corpus eiuſdem mate
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riæ octuplò grauius, vt conſtat. </
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Theorema
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38.
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Hinc primo inſtanti grauitationis nullum ferè ſentitur pondus,
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quia mini
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ma vis eſt, quæ conſequentibus inſtantibus augetur, hinc licèt corpus
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breui tempore quis ſuſtineat, paulò poſt tamen ponderi cedit, ratio eſt
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clara ex dictis. </
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