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

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    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/076.jpg"/>
            <subchap1 n="12" type="proposition">
              <p type="head">
                <s id="s.000551">PROPOSITIO XII</s>
              </p>
              <subchap2 n="12" type="statement">
                <p type="main">
                  <s id="s.000552">Ductis pluribus lineis diversi mode inclinatis, &
                    <lb/>
                  etiam perpendiculari, quae ab eadem li­
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                  nea Orizontali terminentur in idem pun­
                    <lb/>
                  ctum inferius; ibi sortiuntur impetus aequales.
                    <figure id="id.064.01.076.1.jpg" xlink:href="064/01/076/1.jpg" number="45"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="12" type="proof">
                <p type="main">
                  <s id="s.000553">Sint lineae BD CD diversimode inclinatae, & AD
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                  perpendicularis, ductae a linea Orizontali AC
                    <lb/>
                  ad punctum inferius D. </s>
                  <s id="s.000554">Dico gravia a punctis
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                  A B C digressa, & in eis lata, in D sortiri im­
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                  petus aequales.</s>
                </p>
                <p type="main">
                  <s id="s.000555">Fiat DEF parallela ad AC
                    <arrow.to.target n="marg145"/>
                  , & proinde ori­
                    <lb/>
                  zontalis, ad quam dimittantur perpendicula­
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                  res BE CF
                    <arrow.to.target n="marg146"/>
                  .</s>
                </p>
                <p type="margin">
                  <s id="s.000556">
                    <margin.target id="marg145"/>
                  Per cor. 8. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000557">
                    <margin.target id="marg146"/>
                  Per 11. Quinti.</s>
                </p>
                <p type="main">
                  <s id="s.000558">Quoniam gravia ducta per AD, BE, CF in DEF
                    <lb/>
                  habent impetus aequales, quia omnia paria
                    <arrow.to.target n="marg147"/>
                  ,
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                  & gravia ducta per BD, BE in DE habent im­
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                  petus aequales, item per CD, CF in DF habent
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                  impetus aequales
                    <arrow.to.target n="marg148"/>
                  sequitur quod etiam ducta
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                  per AD, BD, CD sortita sunt in D impetus
                    <lb/>
                  aequales. </s>
                  <s id="s.000559">Quod etc.</s>
                </p>
                <p type="margin">
                  <s id="s.000560">
                    <margin.target id="marg147"/>
                  Per 12. sexti.</s>
                </p>
                <p type="margin">
                  <s id="s.000561">
                    <margin.target id="marg148"/>
                  Per 10. huius.</s>
                </p>
              </subchap2>
              <subchap2 type="corollary">
                <p type="head">
                  <s id="s.000562">Corollarium</s>
                </p>
                <p type="main">
                  <s id="s.000563">Hinc sequitur, quod si ABC non sit linea, sed planum
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                  Orizontale, item loco puncti D sint plura puncta,
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                  dummodo in plano Orizontali; gravia in punctis
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                  D habebunt impetus aequales.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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