Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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<
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">Intelligamus iam, dum mobile percutrit EG, &
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velocitas DE manens promouetur ſecundum qua
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drangulum DG, quovſque euadat PG, nouum in
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terim velocitatis gradum acquiri ſecundum triangu
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lum DFP, quovſque euadat FP: neceſſe eſt prorsùs
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ob nouam velocitatem additam percurri EG tempore.
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<
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">breuiore, quàm ſit dimidium temporis, quo decurſum.
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<
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<
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">Nam vt
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velocitas ſecundum quadrangulum DG, dupla ve
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locitatis ſecundum triangulum ADE diminuit tem
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pus ad dimidium; ita velocitas ſecundum trapezion
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DFGE, triplum eiuſdem trianguli, diminuit ad vſ
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que trientem: Adeò vt, ſi tempus, quo decurſum
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fuerit AE, ſupponatur, vt à te fit, minutorum v. c. ſex,
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tempus, quo decurretur EG, futurum ſit minutorum
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duorum. </
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<
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">Cæterùm præter iam obiecta alibi incom
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moda, tum illud quoque heinc ſequitur, Quòd ſi
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EG ſecunda pars ſpatij percurratur triente eius tem
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poris, quo decurſa fuerit prima AE, futurum ſit, vt
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tempore ſecundo percurrantur partes non modò ſe
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cunda, ſed etiam tertia, quarta, quinta, ſexta, ſeptima,
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& penè octaua; quandò qua ratione ſecundum ſpa
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tium percurritur triente, eadem tertium percurretur
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quinta eiuſdem temporis parte; quartum ſeptima,
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quintum nona, ſextum vndecima, ſeptimum decima
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tertia, octauum quintadecima, & hæc fragmenta ſi
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mùl iuncta vnum integrum proximè conficient.
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<
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id
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">Hoc autem falſum qu dem eſt, & tu ipſe longè abes,
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vt fatearis ſed vides tamen, vt fuerit ex ea poſitione
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deductam, qua vis parteis lineæ AC eſſe parteis ſpatij, </
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