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

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="064/01/042.jpg"/>
            <subchap1 n="21" type="proposition">
              <p type="head">
                <s id="s.000284">PROPOSITIO XXI. PROBL. XIII.</s>
              </p>
              <subchap2 n="21" type="statement">
                <p type="main">
                  <s id="s.000285">Datis duabus diuturnitatibus, quarum prior
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                  sit gravis moti super plano dato longitu­
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                  dinis notae, & dato alio plano diversimo­
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                  de declinante; reperiendum est in eo pun­
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                  ctum, quo grave perveniat in secunda
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                  diuturnitate data.
                    <figure id="id.064.01.042.1.jpg" xlink:href="064/01/042/1.jpg" number="22"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="22" type="proof">
                <p type="main">
                  <s id="s.000286">Dato plano declinante AB, super quo grave
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                  A moveatur diuturnitate C, & dato alio
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                  plano D declinationis quae sit dissimilis decli­
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                  nationi datae AB; data itidem diuturnitate E.</s>
                </p>
                <p type="main">
                  <s id="s.000287">Oportet reperire in D punctum quo grave per­
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                  veniat in diuturnitate E.</s>
                </p>
                <p type="main">
                  <s id="s.000288">Ducatur AF parallela ipsi D, in eaque reperia­
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                  tur punctum F, quo grave perveniat tempore quo
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                  in B
                    <arrow.to.target n="marg65"/>
                  , & praescribatur in eadem spatium AG per
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                  quod moveatur in diuturnitate E
                    <arrow.to.target n="marg66"/>
                  , & fiat DH
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                  aequalis ipsi AG, & dico H esse punctum quaesitum.</s>
                </p>
                <p type="margin">
                  <s id="s.000289">
                    <margin.target id="marg65"/>
                  Per 17. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000290">
                    <margin.target id="marg66"/>
                  Per 8. huius.</s>
                </p>
                <p type="main">
                  <s id="s.000291">Quoniam diuturnitates in AB, AF sunt aequales
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                  per constructionem, & C, E sunt diuturnita­
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                  tes super planis AF, AG per constructionem,
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                  sunt etiam diuturnitates super AB, AG, &
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                  proinde super DH ipsi AG aequali, & para
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                  lellae, quod, etc.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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