Fabri, Honoré
,
Dialogi physici in quibus de motu terrae disputatur
,
1665
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de lineæ AH, BK, non ſint parallelæ, ſed vna ad aliam accedat; jam
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alij demonſtrarunt velocitatem aquæ in AB ad velocitatem aquæ in HK
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ſuppoſita eadem vi motrice, eſſe vt HE ad AD, id eſt vt HK ad AB, id
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eſt in ratione latitudinum permutando, ſi verò decreſcat etiam altitu
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do, ita vt altitudo in HK, ſit HI, velocitas in AB eſt ad velocita
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tem in HK, vt HF, ad AD vel in compoſita latitudinum & altitu
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dinum permutando; hoc inquam jam alij demonſtrarunt; cùm enim
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tota aqua fluat per planum AD, & per planum HE, quæ ad inſtar duo
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rum foraminum conſiderare poſſumus, ſuppoſita ſemper eadem vi motri
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ce, haud dubiè velociùs fluere debet per HE, quàm per AD, idque in ea
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proportione, in qua AD major eſt quàm HE; in hoc nulla eſt difficultas,
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& omnibus congruit experimentis; hinc aqua quæ ſurſum extruditur, di
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latatur, quæ verò ſua ſponte deſcendit, contrahitur; quia hæc motu acce
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lerato, illa retardato fertur. </
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Auguſt.
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"> Hoc ſæpè miratus ſum in filo labentis olei, quod certè ad hunc
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effectum aptius eſt, quàm aqua, propter vliginem; contrahitur enim & ex
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tenuatur filum illud; ſed rem gratiſſimam faceres, ſi demonſtrares in qua
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proportione contrahatur. </
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Antim.
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"> Hoc jam alij demonſtrarunt; quia tamen nihil eſt, quod tibi
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negare auſim ; ſupponamus eſſe vas CB, in cujus
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fundo ſit foramen CD, accipiatur quæcunque
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altitudo puta CF, ſit quælibet Semiparabola
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AFH, ſub axe FA, ducanturque applicatæ CE,
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FH; in Parabola ſi accipiatur motus accelera
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tus, axis erit ſpatium, applicatæ verò tem
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pus & velocitas; igitur ſpatium acquiſitum
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tempore CE erit ad acquiſitum tempore FH,
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vt AC ad AF, ſunt enim ſpatia, vt tempo
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rum Quadrata; igitur velocitas aquæ in CD
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erit ad velocitatem in FG vt CE ad FH,
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ſed tranſitus aquæ ſunt vt velocitates, per
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mutando, vt jam dixi ſupra; igitur vt FH
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ad CE, ita circulus CD ad circulum FH; igitur ſi vt Diameter CD
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ad FG, ita hæc, ad K, erit vt FH, ad CE, ita CD ad K. ſit vt </
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