Baliani, Giovanni Battista, De motu naturali gravium solidorum, 1638

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    <archimedes>
      <text>
        <body>
          <pb xlink:href="076/01/035.jpg"/>
          <chap>
            <p type="head">
              <s id="s.000282">PROPOSITIO XXIII.
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              </s>
            </p>
            <subchap1>
              <p>
                <s id="s.000283">Duo gravia descendentia super planis diversa ratione
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                declinantibus, perveniunt ad idem planum orizon-
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                tale ea ratione, ut sit eadem proportio inter diutur-
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                nitates, quae inter dicta plana si ab eodem puncto ad
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                idem planum orizontale producta sint.
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                </s>
              </p>
            </subchap1>
            <p>
              <s id="s.000284">Datis planis AB, AC declinantibus, ductis ab eodem
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              puncto A ad planum orizontale BC.
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              </s>
            </p>
            <p>
              <s id="s.000285">Dico quod diuturnitates gravium descendentium per AB, AC
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              sint ut AB ad AC.
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              </s>
            </p>
            <p>
              <s id="s.000286">Fiat ut AC ad AB ita AB ad AD, ita ut grave perveniat
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              in D eodem tempore quo pervenit in B
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              .
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              </s>
            </p>
            <p type="margin">
              <s id="s.000287">
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              Per 13.
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              hujus.
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              </s>
            </p>
            <p>
              <s id="s.000288">Quoniam est ut AD ad AC, ita quadratum temporis AD
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              ad quadratum temporis AC
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              , & tempora AD, AB
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              sunt aequalia
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              , & proinde eorum quadrata; ergo ut AD
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              ad AC ita quadratum temporis AB, ad quadratum tem-
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              poris AC
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              , sed ut AD ad AC, ita quadratum AB ad qua-
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              dratum AC
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              , ergo ut quadratum temporis AB ad quadra-
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              tum temporis AC, ita quadratum AB ad quadratum AC,
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              ergo ut tempus AB ad tempus AC, ita AB ad AC
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              .
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              </s>
              <s id="s.000289">Quod fuit probandum.
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              </s>
            </p>
            <p type="margin">
              <s id="s.000290">
                <margin.target id="marg71"/>
              Per Cor.
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              7. hujus.
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              </s>
              <s id="s.000291">
                <margin.target id="marg72"/>
              Per 17.
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              hujus.
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              </s>
              <s id="s.000292">
                <margin.target id="marg73"/>
              Per 2.
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              pronun.
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              </s>
              <s id="s.000293">
                <margin.target id="marg74"/>
              Per 19.
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              sexti.
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              </s>
              <s id="s.000294">
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              Per 22.
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              sexti.
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              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>