Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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adhûc pars AS, ſubdiuidi in plura, pluraque dimidia.
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<
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">Deinde, cùm in dimidio SD, tot requiris parteis, vt
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ex ipſis ratio accelerati motus perfectè intelligatur:
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quot
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nam quæſo ſunt, quas requiris? </
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">An aliquot pauculas,
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v. c. ſex, quas nempe recenſes, dum rationem motus
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accelerati explicas per trientem, quadrantem, per quin
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tam, perque ſextam parteis tantum? </
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tot requiris, vt innumerabiles ſint; & tum abſis longiſ
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ſimè ab eo, vt cauſſeris ſtandum, quòd
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diuiſio eſſe infinita
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non poßit,
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quaſi vel in fine, vel certe non longè à fine
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conſiſtendum ſit: tum etiam ab eo, vt ex cognitis par
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tibus
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ratio motus intelligatur.
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<
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"> Rem vt experiamur, ac
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cipiamus, ecce, caſum globi ferrei (quod tuum poſteà
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exemplum eſt) ex cælo Lunæ in centrum terræ: atque
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in ipſo talem partem,
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in qua iam primum,
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vt ais,
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conſiſta
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mus.
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Cùm tuo ex decreto, menſura durationis om
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nium partium iſti primæ æqualium ſit æqualis duratio
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totidem minutiorum partium ſigillatim acceptarum
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in inferiore eius dimidio: ergo inferius eius dimidium
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diuiſibile eſt in tot parteis, non Mathematicas, men
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teve confictas, ſed Phyſicas, ſiue in ipſa rerum natura
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exſiſtenteis, quot partes ſunt à cælo Lunæ, vſque in
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centrum terræ, ipſi AD æquales. </
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">Hæ verò partes quot
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nam ſunt? </
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">Certè, cùm aſſumendo pedes (vt facis) pro
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Galilei cubitis, admittas à Luna in centrum nonagies
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octies mille myriadas pedum: oportebit, etiam ſi pri
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mam partem AD, non minorem pede habeas, vt di
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cas dimidium illius inferius, ſeu ſemi-pedem totidem
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pati diuiſiones, & continere totidem parteis Phyſicas
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non mente confictas. </
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