Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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<
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">ART. IX. X. XI. XII. </
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<
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qui Galileo Definitionem ſpuriam impugnan
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ti obiicitur. </
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Impugnat
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G
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alileus definitionem R. </
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<
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">Patri probatam,
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quòd ſi velocitates eſſent, vt emenſa ſpatia, atque idcircò
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ſpatium v. c. duplum percurreretur velocitate dupla illius, qua
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dimidium: ſequeretur duplum, & dimidium, ſeu totum, &
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partem, eodem, aut æquali tempore percurri. </
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<
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motus æquabilis, ſeu acceleratus æquabiliter ſit, non potest ce
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leritas eſſe dupla per duplum ſpatij, quin ea exſiſtente vbique
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dupla, duplæ partes percurrantur quibuſlibet temporibus, ſic
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que perueniatur eodem tempore ad dupli, & ad dimidij finem.
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</
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<
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">Contendit R. P. committi heic Paralogiſmum: & nullam
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tamen rationem profert, quàm quæ continetur his verbis,
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Si graue deſcendens per AB, tempus quodcum
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que inſumat, putà quadrantem; ac deinde BC
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ipſi AB æquale dimidio quadrante percurrat:
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quis neget in C duplam haberi velocitatem eius,
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quæ fuit in B? & tamen idem graue totam AC,
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& dimidium eius AB non percurreret.
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Vbi ſanè
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nihil aliud, quàm rem controuerſam ſupponit, habetque
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pro principio: videlicet ſecundam partem percurri di
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midio temporis, quo primam. </
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<
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">Atque id quidem præter Incom
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modum ex poſitione hac conſequens, quòd cùm oporteat pari
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modo percurri partem tertiam dimidio temporis, quo ſecun
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dam; quartam, quo tertiam, &c. </
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<
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">debeat cum effluxu temporis
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ſecundi percurri spatium infinitum: quatenus omnia illa di
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midiorum dimidia, ſiue fragmenta temporis non poſſunt
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