Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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citate ſubdupla: tum neceſſe fuerit, vt quibuſlibet temporis
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momentis continuò partes spatii
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PM
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duplo maiores percur
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rantur, quàm ſint partes ſpatii
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RO,
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quæ ab alio mobili iiſ
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dem momentis ſubdupla velocitate decurruntur. </
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<
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">Quo igi
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tur tempore mobile lentius ſpatium
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RO
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totum percurrerit,
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eodem alterum mobile duplò velocius ſpatium
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PN
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etiam
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abſoluerit. </
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<
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">Et quoniam, te iudice, alia ratio non eſt, ſiue spa
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tium
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RO,
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aut
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PM,
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à toto ſpatio
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PN
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ſeiunctum, ſiue ei
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dem coniunctum ſupponatur, neceſſarium planè fuerit, vt
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etiam ab vno, eodemque mobili, vno, eodemque tempore to
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tum spatium
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PN,
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& eius dimidium
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PM
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percurratur;
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quod certum est eſſe impoßibile, niſi motus fieret in inſtanti.
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</
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<
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">Hæc ratiocinatio, variatis tantum terminis, de quibus contro
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uerſia eſt, tota (vt vides) tua est.
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<
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">Imò, non tantum meam agnoſco, ſed inuariatis
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etiam terminis, & qualem omninò aduerſum te dedu
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xi, agnoſco; adeò vt mirer ipſum te, illam aduerſum
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te comparatam, non variatis terminis retorquere in
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me, ſed mutato nomine, vſurpare aduerſus teipſum.
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<
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">Nam, vt mutares terminos, de quibus, vt ais, contro.
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">uerſia eſt, debueras idipſum, quod ego ratiocinando
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habui pro
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Spatio,
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habere pro
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Tempore,
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quod pro
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Tempo
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re,
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habere pro
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Spatio,
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cùm alterum alter arguamus,
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quòd velocitas exæquetur à me quidem
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Tempori,
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à te
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verò
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Spatio.
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"> Sic autem accepta linea PM pro tempo
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re AD, & PN pro tempore AB, proſequi potuiſſes
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hoc modo. </
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Nam vt modo ratiocinandi tuo etiam vtar, ſumpto quo
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piam alio tempore
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RO,
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tempori
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PM
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æquali, concipiamus
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duo mobilia, quorum vnum per
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PN
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eodem ſpatio moueri
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