Gassendi, Pierre
,
De motu impresso a motore translato epistulae duae
,
1642
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locitatis aſcendendo eſſe eundem reciprocè cum in
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cremento velocitatis deſcendendo: adeò vt, quem
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admodum in vltimo deſcenſus momento percurritur
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ſpatium FA, ita in primo aſcenſus percurratur idem
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ſpatium AF; & quemadmodum in penultimo deſ
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cenſus percurritur EF; ita in ſecundo aſcenſus FE, &
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ita conſequenter, donec: vt in primo deſcenſus per
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curritur BC, ita in vltimo aſcenſus percurratur CB.
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Quippe, cùm ex iam dictis perinde ſe habeant AF, &
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FA, ac ſe habent GI, & QH; & perinde quoque C
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B, & BC, ac MB, & BN, & ita de aliis. </
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<
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nonò,
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cùm lapis per lineam parabolicam mo
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tus perueniat ex puncto G pro impetu quidem,
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quem habet ſurſum, ad B, & pro eo, quem prorsùm,
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ad H: percurrerere illum quidem æqualibus tempori
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bus ſecundum impetum priorem inæqualia ſpatia; ſed
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ſecundum poſteriorem, æqualia. </
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altitudinem, ſeu
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portionẽ
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perpendiculi reſpondentem
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motui per GI, eſſe majorem, quàm FE altitudinem reſ
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pondentem motui per IK; cùm tamen GS. latitudo, ſeu
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portio plani horizontalis reſpondens motui per
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eandẽ
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GI, ſit æqualis latitudini SV reſpondenti motui per
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eandem IK; atque ita de cæteris. </
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ſursùm, vel deorsùm inæqualis ſit; ſed motus prorsùm,
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vel ſecundum horizontem ſit planè æquabilis, atque
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vniformis. </
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decimò,
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cùm nauis poſſit moueri velociùs, &
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tardiùs; & mali tamen altitudo ſemper eadem ſit; fieri
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poſſe, vt linea parabolica efficiatur diuerſimodè nunc
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apertior, nunc contractior; & nihilominùs percur-</
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