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

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    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/171.jpg"/>
            <subchap1 n="13" type="proposition">
              <p type="head">
                <s id="s.001276">PROPOSITIO XIII. PROBL. IX.</s>
              </p>
              <subchap2 n="13" type="statement">
                <p type="main">
                  <s id="s.001277">Dato foramine, reperire aliud aequale, a quo
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                  fluat aqua in ratione data.
                    <figure id="id.064.01.171.1.jpg" xlink:href="064/01/171/1.jpg" number="100"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="13" type="proof">
                <p type="main">
                  <s id="s.001278">Detur in vase AB foramen C, & data sit
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                  ratio aquarum D, E, quarum D fluat in
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                  dato tempore per foramen C.</s>
                </p>
                <p type="main">
                  <s id="s.001279">Reperiendum ubi fiat aequale foramen, a quo fluat
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                  in aequali tempore aqua E.</s>
                </p>
                <p type="main">
                  <s id="s.001280">Fiat ad D, E, AC quarta preportionalis AF
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                  ,
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                  & ad AC, AF tertia proportionalis AG
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                  , &
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                  in G fiat foramen: quod si fieri nequit proble­
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                  ma est insolubile. </s>
                  <s id="s.001281">Dico G esse locum forami­
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                  nis quaesitum.</s>
                </p>
                <p type="margin">
                  <s id="s.001282">
                    <margin.target id="marg269"/>
                  Per 12. sexti.</s>
                </p>
                <p type="margin">
                  <s id="s.001283">
                    <margin.target id="marg270"/>
                  Per 11. sexti.</s>
                </p>
                <p type="main">
                  <s id="s.001284">Quoniam aquae fluentes per dicta foramina sunt
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                  in subduplicata ratione altitudinum AC, AG
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                  ,
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                  & aquae D, E, sunt pariter in subduplicata ra­
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                  tione eorumdem altitudinum AC, AG
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                  , aquae
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                  fluentes per dicta foramina sunt ut aquae D,
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                  & E
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                  . </s>
                  <s id="s.001285">Quod etc.</s>
                </p>
                <p type="margin">
                  <s id="s.001286">
                    <margin.target id="marg271"/>
                  Per 5. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.001287">
                    <margin.target id="marg272"/>
                  Per eamdem.</s>
                </p>
                <p type="margin">
                  <s id="s.001288">
                    <margin.target id="marg273"/>
                  Per 9. quinti.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>