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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000735">
                <pb pagenum="145" xlink:href="010/01/153.jpg"/>
                <arrow.to.target n="marg184"/>
                <lb/>
              do generali demonſtrabimus ſuppoſito quòd aer iņ
                <lb/>
              aqua aſcendat
                <expan abbr="nõ">non</expan>
              virtute propriæ leuitatis, ſed per
                <lb/>
              extruſionem medij fluidi tunc figura aeris
                <expan abbr="aſcendẽ-tis">aſcenden­
                  <lb/>
                tis</expan>
              per aquam neceſſariò erit conuexa ſupernè, & in­
                <lb/>
              feriùs excauata, & è contrà ſuppoſito quòd aer inter­
                <lb/>
              no principio leuitatis per aquam aſcenderet, deberet
                <lb/>
              figura aeris aſcendentis tumorem, & rotunditatem̨
                <lb/>
              habere tùm ex parte ſuprema, tùm ex parte ſubiecta. </s>
            </p>
            <p type="margin">
              <s id="s.000736">
                <margin.target id="marg184"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
                <lb/>
              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="main">
              <s id="s.000737">
                <emph type="center"/>
              PROP. LXXII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000738">
                <emph type="center"/>
                <emph type="italics"/>
              Et primo oſtendendum est, quòd quodlibet fluidum intra
                <lb/>
              aliud fluidum tranſlatum ſiuè virtute propria, ſiuè alie­
                <lb/>
              na violentia impulſum, dummodò eius partes non diſ­
                <lb/>
              ſipentur in ipſo fluido in quo mouetur, ſed ſe
                <lb/>
              mutuò contingant, & vniantur, neceſſariò
                <lb/>
              tumorem, & rotundam figuram acqui­
                <lb/>
              ret in parte anteriori mo­
                <lb/>
              tus eius.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000739">QVodlibet fluidum
                <expan abbr="homogeneũ">homogeneum</expan>
              naturali inſtin­
                <lb/>
              ctu videtur ſponte coaleſcere, ac ſimul in ſuo
                <lb/>
              toto partes ſuas conglutinare, vt videmus partes ae­
                <lb/>
              ris libentèr, & auidè viciſſim vniri, & difficiliùs ab
                <lb/>
              inuicem diſtrahi ſepararique, ſic quoque partes aquę
                <lb/>
              vniuntur, conglobanturque ſphæricè
                <expan abbr="quotieſcumq;">quotieſcumque</expan>
                <lb/>
              ſibi mutuò approximantur, itaut ex duabus guttulis
                <lb/>
              vna ſuper aliam excurrendo, & ſe mutuò
                <expan abbr="amplectẽ-do">amplecten­
                  <lb/>
                do</expan>
              vnicam ampliorem guttam
                <expan abbr="cõſtituant">conſtituant</expan>
              , eſtque tàm
                <lb/>
              tenax huiuſmodi vnio, & vinculum partium aquæ, vt </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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