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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002479">
                <pb pagenum="470" xlink:href="010/01/478.jpg"/>
                <arrow.to.target n="marg641"/>
                <lb/>
              quibus cylindri inæquales in aqua aſcendunt. </s>
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            <p type="margin">
              <s id="s.002480">
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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>
            </p>
            <p type="main">
              <s id="s.002481">Et primo loco philoſophicus candor exigit vt fa­
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              tear me non primum haſce ſpeculationes animaduer
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              tiſſe, ſed monitum, & excitatum fuiſſe ab amico An­
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              tonio Oliua viro profectò perſpicaciſſimi, & ignei in­
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              genij, is enim in Academia Experimentali Medicea
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              nonnulla experimenta ad hanc rem attinentia protu­
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              lit, quibus confirmare conabatur, quod velocitates
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              corporum in fluido deſcendentium, vel
                <expan abbr="aſcendentiũ">aſcendentium</expan>
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              eamdem proportionem haberent, quam eorum alti­
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              tudines. </s>
              <s id="s.002482">verum fundamenta, & ratiocinia quibus eius
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              opinio fulciretur hactenùs mihi ignota, & recondita
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              ſunt, propterea non verebor nouas has ſpeculatio­
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              nes, quæ meæ omninò ſunt, edere, & doctiorum iudi­
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              cio exponere. </s>
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            <p type="main">
              <s id="s.002483">
                <emph type="center"/>
              PROP. CCXXVII.
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              </s>
            </p>
            <p type="main">
              <s id="s.002484">
                <emph type="center"/>
                <emph type="italics"/>
              Si fuerint duo cylindri homogenei in aqua demerſi æqualium
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              baſium, & in æqualium altitudinum ſemperque eorum
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              latera perpendicularia ſint ad horizontem, tempora qui­
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              bus æqualia ſpatia
                <expan abbr="aſcẽdendo">aſcendendo</expan>
              , vel
                <expan abbr="deſcendẽdo">deſcendendo</expan>
              percurrunt
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              eam dem proportionem reciprocam habebunt, quàm ſub­
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              duplic at a ratio altitudinum fuerit.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002485">SInt ergo duo cylindri homogenei primò aquą
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              leuiores ABC, & DEF, ſcilicèt ex eodem ligno
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              facti, quorum baſes BC, & EF æquales ſint, altitudo
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              verò AB maior ſit, quàm DE, & inter AB, & DE fiat
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              media proportionalis GB, ſintque vaſa ampla, &
                <expan abbr="sẽ-per">sen­
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                per</expan>
              cylindri infra aquam demerſi retineant eorum̨
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              latera perpendicularitèr ad horizontem erecta, (& </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>