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

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              Cap. 2. de
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              momentis
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              grauium in
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              fluido inna­
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              tantium</s>
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              Cap. 2. dę
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              momentis
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              grauium in
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              fluido inna­
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              tantium</s>
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              PROP. IV.
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              In canali seu ſiphone habente duo brachia directa, &
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              perpendiculariter eleuata ad horizontem, fluidi
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              in eo deſcendentis centrum grauitatis cur­
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              uo itinere per lineam parabolicam
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              deſcendit.
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              <s id="s.000082">IN ſiphone TFGV ſint duo canales TF & GV pa­
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              ralleli inter ſe, & erecti perpendiculariter ad ba­
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              ſim FG, & ad horizontem, & quilibet eorum æquè
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              craſſus ſit; capacitas verò portionis cylindri TF ſu­
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              pra horizontalem per V eductam vt eſt TA in primo
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              caſu, & TC in ſecundo, ſit æqualis
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              capacitati GV, quæ ſecetur iņ
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              quotcumque partes æquales à qua
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              ternario menſuratas in X, Y, Z, I,
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              L, 2, & puncta A, B, C, D, E, ſint
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              centra grauitatum cylindrorum T
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              F, XF, YF, ZF, & AF, vel CF, pa­
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              riterque H, I, K, L ſint centra gra­
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              uitatum cylindrorum GI, GL, G2,
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              GV, & quia centra grauitatum A,
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              & B, bifariam ſecant cylindros T
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              F, XF, ergo TF ad XF ſe habet vt
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              AF, ad BF, & per conuerſionem̨
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              rationis, & permutando TF ad AF
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              eamdem rationem habet, quàm TX ad AB, quarę
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              AB ſemiſſis eſt ipſius TX, non ſecus ac HG mediatas </s>
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