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

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="064/01/038.jpg"/>
            <subchap1 n="17" type="proposition">
              <p type="head">
                <s id="s.000236">PROPOSITIO XVII. PROBL. IX.</s>
              </p>
              <subchap2 n="17" type="statement">
                <p type="main">
                  <s id="s.000237">Dato plano declinante, super quo grave de­
                    <lb/>
                  scendat, & dato alio plano minus declinan­
                    <lb/>
                  te, in hoc reperire punctum, quo perveniat
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                  mobile eo tempore, quo pertransit dictum
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                  planum magis declinans.
                    <figure id="id.064.01.038.1.jpg" xlink:href="064/01/038/1.jpg" number="18"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="18" type="proof">
                <p type="main">
                  <s id="s.000238">Sint plana AB, AC quorum AC minus in­
                    <lb/>
                  clinatum.</s>
                </p>
                <p type="main">
                  <s id="s.000239">Oportet in AC reperire punctum, quo grave per­
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                  veniat, quando pervenit in B.</s>
                </p>
                <p type="main">
                  <s id="s.000240">Fiat ut AC ad AB ita AB ad AD, & dico D
                    <lb/>
                  esse punctum quaesitum.</s>
                </p>
                <p type="main">
                  <s id="s.000241">Quoniam ut AC ad AD ita est quadratum AC
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                  ad quadratum AB
                    <arrow.to.target n="marg48"/>
                  , & ut AC ad AD ita
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                  quadratum temporis AC ad quadratum tem­
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                  poris AD
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                  ergo ut quadratum AC ad qua­
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                  dratum AB, ita quadratum temporis AC ad
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                  quadratum temporis AD Vnde AC ad AB
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                  ut tempus AC ad tempus AD
                    <arrow.to.target n="marg50"/>
                  , sed ut AC
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                  ad AB, ita tempus AC ad tempus AB
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                  , ergo
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                  tempora AB, AD, sunt aequalia. </s>
                  <s id="s.000242">Quod, etc.</s>
                </p>
                <p type="margin">
                  <s id="s.000243">
                    <margin.target id="marg48"/>
                  Per 19. sexti.</s>
                </p>
                <p type="margin">
                  <s id="s.000244">
                    <margin.target id="marg49"/>
                  Per cot. 7. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000245">
                    <margin.target id="marg50"/>
                  Per 22. sexti.</s>
                </p>
                <p type="margin">
                  <s id="s.000246">
                    <margin.target id="marg51"/>
                  Per 15. huius.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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