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

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              <s id="s.002511">
                <pb pagenum="476" xlink:href="010/01/484.jpg"/>
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                <lb/>
              quibuslibet alijs figuris curuis
                <expan abbr="habẽtibus">habentibus</expan>
              baſes pla­
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              nas & æquales, dummodò moles eamdem propor­
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              tionem habeant, quam earum altitudines, vt ſi vna
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              eſſet hemiſphærium, reliqua verò, ſemiſphæroidalem
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              figuram æmularetur; tunc quoque ſi materiæ fuerint
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              homogeneæ, & aqua leuiores, intra ipſam
                <expan abbr="aſcendũt">aſcendunt</expan>
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              velocitatibus, ferè in ſubduplicata proportione
                <expan abbr="al-titudinũ">al­
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                titudinum</expan>
              earumdem vt facilè ex dictis colligi poteſt. </s>
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            <p type="margin">
              <s id="s.002512">
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              Cap. 11. gra­
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              uia in fluido
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              velocitati­
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              bus inæqua­
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              libus ferri
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              debere.</s>
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            <p type="main">
              <s id="s.002513">
                <emph type="center"/>
              PROP. CCXXXII.
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            </p>
            <p type="main">
              <s id="s.002514">
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              Si cylindri partim in aqua, partim in aere existentes ſursùm,
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              vel deorsùm excurrerint; prædictæ proportiones velocita­
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              tum valdè alterantur.
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                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002515">ET hactenùs conſiderauimus aſcenſus, vel
                <expan abbr="deſcẽ-ſus">deſcen­
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                ſus</expan>
              corporum dum eorum motus omninò fiunt
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              intra aquam, at quamprimùm ſupremam libellam at­
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              tingunt, tunc progreſſus velocitatum valdè alteran­
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              tur, debilitanturque; & ratio eſt, quia quando aliqua
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              pars ligni ſupra aquę libellam eminet tunc non
                <expan abbr="cõpa-rantur">compa­
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                rantur</expan>
              amplius inter ſe duæ moles æquales aquæ, &
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              ligni, nec perſeuerat ſipho integer vt priùs, ſed
                <expan abbr="aliã">aliam</expan>
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              longè diuerſam naturam ſortitur, illius, inquam, cu­
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              ius ex vna parte fluidum eminens continenter
                <expan abbr="deſcẽ-dit">deſcen­
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                dit</expan>
              quouſque ad æquilibrium perducatur, & in hoc
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              caſu centrum communis grauitatis ſemper magis, ac
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              magis ad libræ fulcimentum accedit, motu illo curuo,
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              vt dictum eſt; & tunc propemodum ceſſat motus
                <expan abbr="cũ">cum</expan>
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              centrum communis grauitatis ligni, & fluidi non am­
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              plius deſcendere valet, quia nempè ad ipſum fulci­
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              mentum libræ perductum eſt. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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