Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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aquæ AI pondus duplum ſit ponderis infimæ aquæ
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HD, non hìnc tamen inferri licet ſubiectam aquam
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HD in tali ſitu vnicam libram tantummodò pendere
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exiſtente ſupremo pondere AI duarum librarum, ſed
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neceſsè eſt vt aqua HD comprimat vaſis fundum BD
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niſu, ac vi non vnius libræ, ſed æquali ei, quæ effi
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citur à pondere trium librarum, & ratio eſt quia ip
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ſa aqua HD nedùm impellitur deorſum à vi propriæ
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grauitatis vnius libræ, ſed inſuper grauatur compri
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miturque ab incumbente pondere aquæ AI, quæ
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preſſio</
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ſuperaddit aquę HD vim æqualem ei, quæ à
<
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duabus libris effici poteſt; nec profectò nouum eſt ſi
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quis centum laminas ferreas, vel lapideas, æquè
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derantes</
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, ſcilicet ſingulas vnius libræ vnam ſuper al
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teram imponat, quod inſima lamina non tantummo
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dò ſuo pondere comprimet planum ſubiectum, ſcili
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cèt non efficiet vim æqualem centeſimæ parti totius
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prædicti aggregati, ſed compreſſio infimę laminæ ef
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ficiet vim centuplo maiorem ſcilicèt impellet ſubie
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ctum planum vi æquali centum libris, & tunc
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modò</
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inſima lamina partem centeſimam totius ag
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gregati ponderabit, quando illa in vna lance, reli
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quæ verò 100. in oppoſita lance eiuſdem libræ ra
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diorum æqualium ſuſpenderentur; ſic paritèr ſi aqua
<
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HD ſupra planum ſubiectum ſiuè ſolidum, ſiuè flui
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dum collocaretur iuxtà portionem aquæ AI, it aut ſe
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ſe contingerent lateraliter, atque
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expan
abbr
="
earũ
">earum</
expan
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baſes æqua
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les in eodem plano horizontali collocarentur, tunc
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neceſſariò dupla moles aquæ AI duplam vim com-</
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