Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

Table of figures

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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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                poſita</expan>
              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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              imminuti CDGQ
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              (non
                <expan abbr="quidẽ">quidem</expan>
              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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                tuoſa</expan>
              ſuperficies DTE facta eſt decliuior, & magis
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              ad perpendicularem
                <expan abbr="accedẽs">accedens</expan>
              , 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
                <expan abbr="cõ-tinuatas">con­
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                tinuatas</expan>
              , & 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-</s>
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