Marci of Kronland, Johannes Marcus, De proportione motus figurarum recti linearum et circuli quadratura ex motu, 1648

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="063/01/042.jpg"/>
              ad PR per theorem 8. erit
                <expan abbr="quoq;">quoque</expan>
              motus verticalis in OQ ad
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              motum inclinatum in OB, ut PQ ad PR. hoc eſt ut ſemidia­
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                <arrow.to.target n="fig8"/>
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              meter figuræ motûs ad huius ſegmentum inter centrum figu­
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              ræ P & lineam hypomochlij NS. </s>
            </p>
            <figure id="id.063.01.042.1.jpg" xlink:href="063/01/042/1.jpg" number="14"/>
            <p type="main">
              <s>Simili ratione in quadrato K, ut KZ ad KL: & in pentago­
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              nout TV ad TX, ita illorum motus verticalis ad motum incli­
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              natum in OB. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              THEOREMA XI.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
                <emph type="italics"/>
              Figura rectilinea velociùs mouetur in plano minùs inclinate.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>Sint duo plana, quorum inclinatio CAK maior, & CAI
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              minor: dico in plano CAI minoris inclinationis, motum eſſe ve­
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              lociorem. </s>
              <s>Ducantur ex D centro figuræ ad lineas verticales
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              AI. AK ſemidiametri figuræ motûs DF. DE: & ex angulo A
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              CB lineæ hypomochlij CG. CH parallelæ lincis verticalibus
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              AI. AK. </s>
              <s>Quia
                <expan abbr="itaq;">itaque</expan>
              maior eſt DE quàm DF, & DO minor
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              quàm DP; erit reſidua OE maior quàm PF. </s>
              <s>Maior proinde </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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