Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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412
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neceſsè eſt vt aucta decliuitate vniatur cum infimą
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accliuitate D3, & ideò neceſsè eſt vt ſuperficies
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cõ-poſita
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poſita</
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montis ETD ſit multò magis erecta, & accliuis
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quam priùs; & ducta perpendiculari TY ſupra MN,
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eam ſecet in Y & vaſis fundum in Z: & quia momen
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tum portionis aquei anuli CDTY maius eſt momen
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to eiuſdem ſectoris aquei anuli
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abbr
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nõ
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imminuti CDGQ
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(non
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quidẽ
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ratione molis, cùm hæc nec iuuet in hoc
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negotio, nec noceat, vt dictum eſt, ſed quia eius
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abbr
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mõ-tuoſa
">mon
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tuoſa</
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ſuperficies DTE facta eſt decliuior, & magis
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ad perpendicularem
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abbr
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accedẽs
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, quàm priùs); erat verò
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momentum integræ portionis anuli aquei CDGQ æ
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quale momento ſectoris laminæ 4CD, igitur momen
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tum portionis anuli aquei magis decliuis CDTY erit
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maius momento ſe
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ctoris laminæ 4CD,
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& premunt ambo
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partes aquæ ſubie
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ctas 4P, & CZ
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cõ-tinuatas
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tinuatas</
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, & æquali
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ter diſpoſitas ſupra idipſum planum horizontale MB
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CY, quapropter (ex demonſtratis) prædicta lamina
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AC diſcedet, remouebiturque ab YZ. eadem ratio
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ne reliqua aſſula EH remoueri debet, fugereque à vi
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cinia YZ, cum expelli debeat lateralitèr aqua ſubie
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cta RF vnà cum inſiſtente lamina, propterea quod à
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magis preſſa aqua FZ expelli debet; Patet igitur duo
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corpora AC, & EH ſegregari debere, & vnum ab al
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tero ſugere quotieſcumque duo eorum argines con-</
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