Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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idcirco eodem, quo DE. </
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">Et quia ſeruatâ analogià
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PS percurri debet vno minuto cum triente, efficie
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tur, vt non modò SD, verùm ipſa quoque DE per
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curratur rursùs non duobus minutis, ſed vnoſolùm
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cum triente; atque ita bifariam ſecando, diminuendo
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que in infinitum. </
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vltrà comparationem partis DE cum parte SD, ne
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que comparare ipſam cum parte PS, vt mox factum
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eſt, & fieri poſſe nihil prohibet; cùm nulla ſit ratio,
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ob
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in hac potiùs biſectione,
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in vlteriore vlla
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conſiſtatur; verùm aſſumere te ſolum, id
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tempus, quo
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abſoluitur interuallum
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SD
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breuius eſſe tempore, quo pars
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ſuperior
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AS
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tranſcurritur, alioquin deſcenſus ſine accelera
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tione vniformis eſſet;
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idque, vt inferas,
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partem primùm
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deſignatam
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DE,
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cum eodem præcisè tempore percurratur,
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quo interuallum
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SD,
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non in dimidio prioris temporis, ſed
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tempore breuiore abſolui.
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"> Adnoto, inquam, vt appareat,
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cui fundamento ſuper-exſtruas quicquid deinceps
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ædificas, ſupponens nimirùm vt ratum principium
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(quod obiter, & aliud agendo ſtabilieris) æqualita
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tem temporis, quo pars SD, & ipſius dupla DE per
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curruntur. </
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DeTempore, quo R. P. colligit ſingulas parteis decur ſumiri.
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<
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">Etenim illicò ſic habes;
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Sed ex his,
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& eadem prorſus ratione aliud demonstratur, quod ingentis,
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atque admirabilis paradoxi loco non immeritò fortaßis habe
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ri poßit, nempe ſi spatium, per quod corpus graue quod
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cumque deſcendit, in parteis quotlibet æqualeis diuiſum intel
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ligatur, & primæ, ac ſupremæ partis etiam deſignetur
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