Baliani, Giovanni Battista, De motv natvrali gravivm solidorvm et liqvidorvm

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="064/01/024.jpg"/>
            <subchap1 n="5" type="proposition">
              <p type="head">
                <s id="s.000113">PROPOSITIO V. PROB. III.</s>
              </p>
              <subchap2 n="5" type="statement">
                <p type="main">
                  <s id="s.000114">Data altitudine, a qua descendat grave in no­
                    <lb/>
                  ta diuturnitate; perquirere quanta sit diutur­
                    <lb/>
                  nitas, qua descendat ab alia altitudine data.
                    <figure id="id.064.01.024.1.jpg" xlink:href="064/01/024/1.jpg" number="6"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="6" type="proof">
                <p type="main">
                  <s id="s.000115">Sit A altitudo per quam descendat grave diutur­
                    <lb/>
                  nitate B nota, & data sit alia altitudo C.</s>
                </p>
                <p type="main">
                  <s id="s.000116">Oportet reperire quanta sit diuturnitas, qua idem
                    <lb/>
                  grave descendat per C.</s>
                </p>
                <p type="main">
                  <s id="s.000117">Fiat ut A ad C ita B ad G,
                    <arrow.to.target n="marg17"/>
                  inter quas media,
                    <lb/>
                  proportionalis F
                    <arrow.to.target n="marg18"/>
                  est diuturnitas quaesita.</s>
                </p>
                <p type="margin">
                  <s id="s.000118">
                    <margin.target id="marg17"/>
                  Per 12. sexti.</s>
                </p>
                <p type="margin">
                  <s id="s.000119">
                    <margin.target id="marg18"/>
                  Per 13. sexti.</s>
                </p>
                <p type="main">
                  <s id="s.000120">Quoniam A, & C sunt in duplicata ratione diu­
                    <lb/>
                  turnitatum B, & F per constructionem, per
                    <lb/>
                  ipsas gravia descendent in diuturnitatibus B,
                    <lb/>
                  F,
                    <arrow.to.target n="marg19"/>
                  unde F est diuturnitas ipsius C quaesita.</s>
                </p>
                <p type="margin">
                  <s id="s.000121">
                    <margin.target id="marg19"/>
                  Per 3. huius.</s>
                </p>
                <p type="main">
                  <s id="s.000122">Quod faciendum fuit.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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