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

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              ſus auri in aqua. </s>
              <s id="s.002596">Non ſecus
                <expan abbr="ſtannũ">ſtannum</expan>
              GI, & aqua KM
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              ei æqualis conſtituent libram QR radiorum
                <expan abbr="æqualiũ">æqualium</expan>
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              cuius centrum grauitatis ſit V, vnde SV erit longitu­
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              do penduli, quod determinat impetum deſcenſus
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              ſtanni in aqua; & quia quatuor parallelepipeda AC,
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              DF, GI, KM æqualia ſunt inter ſe, ęquè alta, ſuper æ­
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              qualibus baſibus, ergo duæ libræ NO, & QR æqua­
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              les ſunt, & radiorum æqualium, atque in eorum ter­
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              minis N, & Q ſuſpenduntur duo inæqualia pondera
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              aurum ſcilicèt AC, & ſtannum GI, atque in terminis
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              O, R ſuſpenduntur duo alia pondera ęqualia inter ſe,
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              ſed prioribus leuiora, ſcilicèt duæ
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              aquæ moles DF, & KM, & cognita
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              ſupponuntur quatuor prædicta
                <expan abbr="põ-dera">pon­
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                dera</expan>
              ; modò vt ſumma
                <expan abbr="põderum">ponderum</expan>
              GI,
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              & KM ad eorum differentiam ita fi­
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              at ſumma ponderum AC, & DF ad
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              pondus Z, reperiaturque pondus Y
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              medium proportionale inter diffe­
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              rentiam ponderum AC, DF, & pon­
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              dus Z; tunc patet, quod impetus
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              quo libra NO flecti debet ad impetum quo reuolui­
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              tur libra QR eamdem proportionem habebit, quam
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              differentia ponderum AC, & DF ad
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              Y; & quia
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              prædicta corpora conſtituunt ſiphones æquè altos, &
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              æquè amplos, propterea quod prædicta corpora æ­
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              qualia, & ſimilia ſunt inter ſe, ergo nulla alia de cau­
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              ſa velocitas in prædictis ſiphonibus variari poteſt
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              præterquam à natura ipſorum
                <expan abbr="pendulorũ">pendulorum</expan>
              PT, & SV; </s>
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