Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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31 - 60
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391 - 420
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dus pilæ AB nil prorsùs imminutum erit, & æquali
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energia ſuſtineri debet à potentia D, ac ſi eadem pi
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la extra aquam in aere libero penderet, ſed hoc eſt
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falſum, cùm præcisè in ipſa aqua grauitas pilæ æqua
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lis ſit differentiæ ponderis eius abſoluti à grauitatę
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aquæ ſibi æqualis mole, vt ex Archimede deducitur,
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igitur neceſſariò
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fatendũ
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eſt aquam in ipſamet aqua
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collocatam ponderare, & grauitatem exercere. </
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Cap. 3. flui
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dum in ſuo
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toto quie
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ſcens pon
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derat.</
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<
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">Contra hoc euidentiſſimum ratiocinium afferri
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ſolet difficultas valdè ſpecioſa, quam examinare, ac
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diſſoluere erit operæ pretium, vtque ea ritè percipi
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atur, conſideretur hæc figura. </
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<
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">Sit vas cylindricum̨
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ABDC aqua plenum ſit que eius altitudo
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diſſecta in quotcumque partes æquales,
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ductis nempè planis imaginarijs MO, &
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HI, erit igitur moles aquea AI duplą
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aque ę molis HD; igitur pondus aquæ AI
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duplum eſt ponderis aquæ HD. quia ve
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rò corpus grauius minùs graue ſuperare
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debet, hocque è ſuo loco expellere (cùm in eo conſi
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ſtat vis, & energìa grauitatis, vt tendat deorsùm,
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& ſic è loco infimo corpora minùs grauia expellat) &
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poſtquàm aqua AI translata eſt ad locum HD, atque
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aquam ibidem collocatam expulit denuò in ſitu ſu
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periori fiſtulæ AI aqua dupli ponderis, & molis ibi
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dem reſtituitur quæ pariter ſuperat grauitatem ſub
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duplam aquæ, quæ ad occupandum infimum locum
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HD ſucceſſit, igitur denuò aqua ſuprema vt grauior
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infimam è ſuo loco extrudere, atque expellere de-</
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