Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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AGC eiuſdem olei aſcendentis neceſſariò explana
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tam, imò excauatam fore; quia ex hypotheſi pondus
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ſpecificum aquæ ambientis ſuperat ſpecificam gra
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uitatem olei ABC; iam ſi eſt moles aquæ collateralis
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FQPC æqualis medietati olei BGC, proculdubio
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aqua FQPC grauior erit oleo BGC, vel ſi moles inę
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quales ſunt, aquæ momentum ſuperat olei
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momentũ
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hiſce verò inæqualibus ponderibus ineumbunt, &
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ſubijciuntur moles aquæ æque ponderantes, vel æ
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qualium momentorum, ergo in ſiphone compoſito
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ex cylindri portione aquea VXKL, & ex cylindri
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portione EIKL compoſita ex aqua, & oleo inæqua
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liter premuntur partes aquæ ſubiectæ GPXI. quæ li
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bram conſtituunt, nempè aqua CPXK maiori niſu
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comprimitur ab aqua FQPC, quam aqua GCKI pre
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matur ab oleo BGC minus graui, & ideò ex coroll pr.
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10. oleum BGC ſursùm impelletur ab aqua ſubiecta
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GIKC, & talis expreſſio fiet (ex prop. 51.) tanta vi,
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quanta eſt grauitas exceſſus ponderis aquæ FQPC
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ſupra grauitatem olei BGC. </
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<
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ter EB, & LC dum fertur deorſum ad occupandum̨
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ſpatium ab aſcendente oleo derelictum, neceſſariò
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comprimit contunditque ſuperficiem collateralem̨
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olei BC non duri, ſed cedentis, eſtque motus obli
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quus per ſuperficiem decliuem BC, ergo ſpatium̨,
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ſeù alueus, per quod incumbens aqua pertranſirę
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debet comprehenſum à ſuperficie aquæ FCK dire
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cto, & non impedito motu fluentis, & inclinatam de
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cliuemque olei BC ſuperficiem, continentèr magis </
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