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

Page concordance

< >
Scan Original
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.001028">
                <pb pagenum="199" xlink:href="010/01/207.jpg"/>
                <arrow.to.target n="marg264"/>
                <lb/>
              tioni eiuſdem ſolidi intra eiuſdem fluidi libellam de­
                <lb/>
              merſi. </s>
              <s id="s.001029">Qua proptèr quando pondus abſolutum præ­
                <lb/>
              dicti ſolidi minus fuerit pondere prædicti fluidi am­
                <lb/>
              bientis æqualis portioni eius demerſæ neceſſariò
                <lb/>
              ſolidum ipſum in fluido eleuabitur vlteriuſque
                <expan abbr="aſcẽ-det">aſcen­
                  <lb/>
                det</expan>
              , igitur Cylindrus AC vnà cum ſuperincumben­
                <lb/>
              te pondere P eique coniuncto, & continuato noņ
                <lb/>
              quieſcet, ſed ſursùm aſcendet, quaproptèr vis pre­
                <lb/>
              mens ponderis P non ſufficit, nec habet tantam̨
                <lb/>
              vim vt retineat ſolidum AC integrè infra fluidi
                <lb/>
              M libellam demerſum. </s>
              <s id="s.001030">Cùmque, vt Archimedes de­
                <lb/>
                <arrow.to.target n="marg265"/>
                <lb/>
              monſtrauit, energia, & vis, qua ſolidum AC cona­
                <lb/>
              tur, & vim facit vt ſursùm aſcendat in fluido M ęqua­
                <lb/>
              lis ſit vi illius ponderis, quod ſi ſuper id imponatur,
                <lb/>
              poteſt id retinere infra fluidi libellam prohibereque
                <lb/>
              eius aſcenſum, igitur vis, qua cylindrus AC conatur
                <lb/>
              ſursùm aſcendere in fluido M maior eſt quacumque
                <lb/>
              vi finita ponderis P, & hoc propoſitum fuerat. </s>
            </p>
            <p type="margin">
              <s id="s.001031">
                <margin.target id="marg262"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
                <lb/>
              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="margin">
              <s id="s.001032">
                <margin.target id="marg263"/>
              De
                <expan abbr="inſidẽt">inſident</expan>
              .
                <lb/>
              humido lib.
                <lb/>
              5. prop. 4.</s>
            </p>
            <p type="margin">
              <s id="s.001033">
                <margin.target id="marg264"/>
              Cap. 4. poſi­
                <lb/>
              tiuam
                <expan abbr="leui-tatẽ">leui­
                  <lb/>
                tatem</expan>
                <expan abbr="nõ">non</expan>
              dari.</s>
            </p>
            <p type="margin">
              <s id="s.001034">
                <margin.target id="marg265"/>
              Eod. lib. 1.
                <lb/>
              prop. 6.</s>
            </p>
            <p type="main">
              <s id="s.001035">
                <emph type="center"/>
              PROP. XCVII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001036">
                <emph type="center"/>
                <emph type="italics"/>
              His præmisſis deuenio iam ad propoſitionem
                <expan abbr="principalẽ">principalem</expan>
              , quòd
                <lb/>
              nimirùm quodlibet corpus ſursùm aſcendens in date
                <lb/>
              aliquo fluido non eleuatur ſponte ſua à principio
                <lb/>
              nempè intrinſeco leuitatis impulſum.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001037">SIt L quodlibet corpus eorum, quæ à Peripateti­
                <lb/>
              cis vocantur à prædominio aerea, vt ſunt ferè
                <lb/>
              omnia ligna, & alia innumera, & fluidum M in vaſe
                <lb/>
              FDI
                <expan abbr="contẽtum">contentum</expan>
              , ſit que prædictum fluidum, aut aqua, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum