Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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accipit R. P. punctum infimum primæ partis, & ab ipſo
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ſurſum eiuſdem primæ partis dimidium, trientem, quadran
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tem, & vniuersè tot fragmenta, quot ſunt inferiùs partes
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æquales; ac tum contendit, quanto tempore dimidium inferius
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primæ partis percurritur, tanto deinceps partem ſecundam
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æqualem percurri; quanto triens, tanto tertiam; quanto qua
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drans, tanto quartam, &c. </
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<
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mæ partis dimidio contineantur ſigillatim omnia tempora, qui
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bus omnes ſuperſtites æquales partes percurruntur. </
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<
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abs re, & omninô gratis negligit ſuperius dimidium, nullam
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que eius rationem habet; à cuius tamen initio, non fine, motus
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incipit, & per quod iam acceleratur, cùm pauciores parteis,
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<
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quã
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inferius non habeat. </
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<
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vſurpat inferius, ipſique
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fata omnium partium inferiorum alligat: nam & quòd vult
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ſecundam partem eſſe huius dimidij duplam, atque ideo eſſe
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velocitatem duplam, & tempus æquale: nihil aliud; quàm
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quæſitum petit. </
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<
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">Aliunde autem variis argumentis conficitur,
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vt aſſumpto quocumque primo tempore, tam inferius dimidium,
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quàm ſecunda pars tempore breuiore, breuioreque in infinitum
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percurrantur (ſubdiuiſo nempe priore dimidio in duo alia, &
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rurſus priore in alia, &c.) vt
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itẽ
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tam inferius dimidium, qua
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ſecunda pars percurrantur dimidio temporis, quo integra pri
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ma: vt tempus per ſecundam partem ſeſquialterum ſit, non
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duplum ad illud, quo percurritur inferius dimidium: vt tam
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prima pars ſola, quàm prima, & ſecunda ſimùl, hoc eſt pars,
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& totum eodem, aut æquali percurrantur tempore; atque id
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genus cætera, quæ proportione etiam obiici in trientem, qua
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drantem, fragmentaque alia aſſumptæ primæ partis poſſunt.
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A p. </
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<
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