Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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nunc per ipſam à te circulo inſigni probantur. </
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tuum eſto principium; quid inde? </
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At hoc dato, neceſſarium etiam eſt, vt quanto tempore gra
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ue deſcendens percurrit ſecundam partem DE, tantò præcisè
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spatium duplò minus antè percurrerit; nempe SD, quod
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ſupponitur dimidium ſuperioris spatij AD.
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">Neque enim alia ratio
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ne probas ſpatia continuò percurri in ratione dupla,
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quàm quia ſupponis tanquam principium, partem DE
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percurri tanto tempore, quantò dimidium SD. </
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& hoc eſto. </
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Neceſſe eſt igitur, vt partes SD, & DE æquali
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tempore percurrantur.
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neque in te eſt, vt neceſſitatem probes, niſi priùs oſten
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deris velocitates eſſe vt ſpatia, quod tantum abeſt, vt
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hactenus quidem præſtiteris, quin potiùs præſtare co
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natus, tuo in Bilance Experimento, ipſo euentu fueris
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deluſus. </
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At Tempus, quo percurritur SD pars inferior ipſius
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AD, neceſſariò breuius eſt tempore, quo decurritur pars
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ſuperior AS (alioquin motus per AD æquabilis eſſet, non
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autem acceleratus, vt per ſe manifeſtum eſt.)
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principiis. </
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Pars igitur DE non percurritur in dimidio totius tem
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poris, quo decurritur AD, ſed in tempore aliquantò breuiore.
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<
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">Id quoque admitto; ſed omninò ex aliis principiis,
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quàm tuis. </
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Et conſequenter pars DE non tranſcurritur velocitate
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