Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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globi eſt (quantumque eſt, ſatis vt cum globo in altera lance
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per aërem libera impoſito æquilibrium faciat) globus dein
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ceps dimittatur in ipſam lancem liberam: fore, vt dimiſſus
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ex ſuæ vnius diametri altitudine globus attollat ſuo impetu
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non modò lancem ſuſtentatam cum æqualibrij pondere, ſed
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vnum pondus prætereà, ſuo itidem ponderi æquale, præcisè:
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& dimiſſus ex duarum diametrorum altitudine, duo attollat
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pondera, hoc eſt duplum ſui ponderis præcisè, & ex trium
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altitudine, treis, ſeu triplum, &c.
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Igitur, cùm tanta ſit velocitas cuiuſque rei, quantus impe
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tus, imò impetus velocitas ſit; habent ſe velocitates in motu
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accelerato grauium decidentium acquiſitæ vt emenſa ſpa
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tia.
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Quia
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G
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alileus falsò definit motum æquabiliter accelera
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tum illum, qui à quiete recedens æqualibus temporibus æqua
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lia celeritatis momenta acquirit; & paralogiſticè probat mo
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tum æquabiliter acceleratum non eſſe eum, qui æqualibus ſpa
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tiis æqualia celeritatis augmenta acquirit (quandò id arguit
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ex eo, quod totum, & pars eodem, aut æquali tempore per
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currerentur: cùm tamen conſtet dimidium tempore breuiore
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percurri, quàm duplum) ac tum gratis ſibi poſtulat concedi
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gradus velocitatis eiuſdem mobilis ſuper diuerſas planorum
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inclinationes acquiſitos tunc eſſe æqualeis, cùm eorumdem pla
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norum eleuationes ponuntur æquales: tum ad id probandum
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falsò aſſumit globum filo nunc longiore, nunc breuiore ſuſpen
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ſum, & ex eadem altitudine per inæqualeis arcus vibratum,
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aſſurgere ſemper ad eandem altitudinem.
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<
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">Ac talis quidem formari poteſt, vt mihi videtur,
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tua Demonſtratio, quantum, vt dixi, elicitur ex operis </
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