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

Table of figures

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              <s id="s.001025">
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              contentum in vaſe FDE tantæ profunditatis, vt cy­
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              lindrus AC vniuersè, & perpendicularitèr ad Hori­
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              zontem mergi poſſit, vt eius baſis non contingat
                <expan abbr="fũ-dum">fun­
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                dum</expan>
              vaſis FDE, atque ſupremus terminus C fluidi li­
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              bellam contingat. </s>
              <s id="s.001026">Præterea applicari debet pondus
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              P ſupra verticem cylindri CA, itaut pondus P immi­
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              neat ſupra fluidi libellam, neque aliqua eius portio
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                <figure id="id.010.01.206.1.jpg" xlink:href="010/01/206/1.jpg"/>
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              demergatur. </s>
              <s id="s.001027">His præparatis
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              quia exceſſus
                <expan abbr="põderis">ponderis</expan>
              R ſupra
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              S ad ipſum pondus S maiorem
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                <expan abbr="proportionẽ">proportionem</expan>
              habet quam gra­
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              uitas P ad pondus cylindri
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              ACB, ergò componendo, gra­
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              uitas R ad S
                <expan abbr="maiorẽ">maiorem</expan>
              proportio
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              nem habebit quàm duo
                <expan abbr="põde-ra">ponde­
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                ra</expan>
              P, & CAB, ſimul ſumpta, ad
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              pondus CAB; verùm grauitas
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              molis fluidi M æqualis ſolido AC ad pondus abſolu­
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              tum eiuſdem ſolidi AC habet eamdem
                <expan abbr="proportionẽ">proportionem</expan>
              ,
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              quam R ad S, ergò moles fluidi M æqualis ſolido AC
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              ad ſolidum idipſum AC, ſeù illius pondus ad graui­
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              tatem huius habebit maiorem proportionem quàm
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              pondera P, & CAB ſimùl ſumpta ad pondus AC, &
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              proindè pondus abſolutum molis fluidi M æqualis
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              AC maius erit grauitate ipſius P vnà cum ponderę
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              cylindri AC. </s>
              <s id="s.001028">Verumtamen Archimedes demonſtra­
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              uit ſolidum innatans tunc ſolummodò in fluido quie­
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              ſcere quando eius pondus abſolutum æquale fuerit
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              grauitati molis fluidi ambientis, quæ ſit æqualis por-</s>
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