Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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angulorum æqualitate, ita fluentem, ac deſcenden
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tem concipi postulas, vt etiam intelligamus partem inter
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lineas
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AB, AC,
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interceptam continuò ea ratione augeri,
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vt notatis in
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AB,
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&
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AC,
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partibus æqualibus
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AE, EG,
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GI, IL,
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ſemper interceptarum parallelarum incrementa
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haberi æqualia aduertamus. </
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AG
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dupla est
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ipſius
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AE,
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ſic
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GF
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dupla est ipſius
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ED:
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& eadem ratione
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IH
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eiuſdem
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ED
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eſt tripla, &
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LK
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quadrupla, atque
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ita deinceps. </
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Quare aſſumptis
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partibus æqualibus temporis per parteis æqualeis lineæ
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AC repræſentatis, notum eſt momenta, ſeu incremen
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ta velocitatis per parallelas repræſentatæ æqualia ac
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quiri ſub huiuſmodi partibus.
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Hæc ſanè vera ſunt;
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ſed recordare verißimè quoque à te dictum numero
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IV.
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pun
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ctum
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A
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poſſe non tantum pro initio temporis haberi, ſed etiam
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pro initio spatij, & (vt item addis) pro initio velocitatis.
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A, pro initio temporis quidem æquabiliter ſluentis,
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prout comparatur ad lineam AC (aut AB) in parteis
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æqualeis diuiſam; pro initio verò ſpatij in longum de
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currendi, prout comparatur ad aream AKL in trian
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gulos æqualeis diſtinctam; ac pro initio velocitatis
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continenter acquirendæ, prout comparatur cum linea
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parteis æqualeis continuò adſciſcente, quovſque cœ
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pta à puncto A, euadat KL. </
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Vt igitur punctum
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A,
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nunc habes pro initio temporis,
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& parteis æqualeis
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AE, EG, GI, IL,
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pro partibus
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æqualibus temporis; concipe etiam vicißim idem punctum
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A
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initium eſſe ſpatij, cuius parteis æqualeis æqualia item ſeg
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menta
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AE, EG, GI, IL,
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deſignent. </
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