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

Table of figures

< >
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.001962">
                <pb pagenum="370" xlink:href="010/01/378.jpg"/>
                <arrow.to.target n="marg496"/>
                <lb/>
              portio valdè expanſa, & rara erit, & ideò (ex Prop.
                <lb/>
              105.) eius pondus, & vis compreſſiua minor erit
                <expan abbr="nẽ-pè">nen­
                  <lb/>
                pè</expan>
              centeſima, & octuageſima pars ponderis aeris ex­
                <lb/>
              terni eiuſdem molis: igitur illa non poterit ſupra a­
                <lb/>
              quæ libellam eleuare
                <expan abbr="idẽ">idem</expan>
              pondus arginis aquei quod
                <lb/>
              in aere aperto ab huius ingenti pondere
                <expan abbr="ſuſpẽdeba-tur">ſuſpendeba­
                  <lb/>
                tur</expan>
              : cùmque hoc ſit falſum, æquè enim argines aquei
                <lb/>
              in prædicto vacuo ſublimantur, ac in aere aperto, igi­
                <lb/>
              tur non ab aere ibidem non exiſtente, vel rariſſimo
                <lb/>
              argines prædicti ſuſpenduntur. </s>
            </p>
            <p type="margin">
              <s id="s.001963">
                <margin.target id="marg495"/>
              Cap. 8. cur
                <lb/>
              exiguæ aquæ
                <lb/>
              guttæ ſupra
                <lb/>
                <expan abbr="libellã">libellam</expan>
              aquæ
                <lb/>
              aſcendunt.</s>
            </p>
            <p type="margin">
              <s id="s.001964">
                <margin.target id="marg496"/>
              Cap. 8. cur
                <lb/>
              exiguæ aquæ
                <lb/>
              guttæ ſupra
                <lb/>
                <expan abbr="libellã">libellam</expan>
              aquæ
                <lb/>
              aſcendunt.</s>
            </p>
            <p type="main">
              <s id="s.001965">Alij poſtea recurrunt ad ſcabritiem, &
                <expan abbr="aſperitatẽ">aſperitatem</expan>
                <lb/>
              parietis à qua impeditur deſcenſus, ſuſpendunturque
                <lb/>
              particulæ aqueæ; ſed hoc minimè ſufficere videtur,
                <lb/>
              nam ad ſummum dicta ſcabrities commoda eſſet, &
                <lb/>
              apta ad retinendam aquam poſtquam ſemèl eleuata
                <lb/>
              fuiſſet ad illam altitudinem, quatenùs ab aſperitati­
                <lb/>
              bus, veluti vncinis impediretur defluxus aquæ deor­
                <lb/>
              sùm, at non poſſent aquam ſubleuare, cùm ſcabrities
                <lb/>
              vim motiuam non habeat; & ſanè aſperitates nedum
                <lb/>
              non adiuuarent, ſed potiùs impedirent aquæ eleua­
                <lb/>
              tionem in prædictis arginibus duplici nomine, primò
                <lb/>
              quia eædem parietis ſcabroſitates, quæ vim habent
                <lb/>
              prohibendi deſcenſum aquæ,
                <expan abbr="impediũt">impediunt</expan>
              quoque eius
                <lb/>
              aſcenſum; præterea multò magis, & maiori vi aſcen­
                <lb/>
              ſus aquæ impediri deberet quàm eius
                <expan abbr="deſcẽſus">deſcenſus</expan>
              , quia
                <lb/>
              in aſcenſu aqua præter reſiſtentiam aſperitatis parie­
                <lb/>
              tis ſuperare debet impedimentum, & reluctantiam
                <lb/>
              propriæ grauitatis, cum è contra in deſcenſu ab hac
                <lb/>
              adiuuetur. </s>
              <s id="s.001966">igitur ſcabrities parietis non poteſt eſſę </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>