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="063/01/062.jpg"/>
              plagæ in
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              db;
                <emph.end type="italics"/>
              erit motus quoq in
                <emph type="italics"/>
              de
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              æqualis motui in
                <emph type="italics"/>
              dg:
                <emph.end type="italics"/>
              ac
                <lb/>
              proinde per prop: 31 motus medius reflectit per lineam
                <emph type="italics"/>
              dc.
                <emph.end type="italics"/>
                <lb/>
              Cùm igitur hæc ſit via centri, motus trianguli in ſe ipſum re­
                <lb/>
              flectit. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              THEOREMA II.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
                <emph type="italics"/>
              Motus trianguli Iſogoni ad planum, non verò ad baſim perpen­
                <lb/>
              dicularis, in partem baſis maiorem reflectit.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>Triangulum
                <emph type="italics"/>
              abc
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              occurrat plano
                <emph type="italics"/>
              az
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              ad angulos rectos:
                <lb/>
                <expan abbr="ſecetq;">ſecetque</expan>
              motus centri
                <emph type="italics"/>
              d
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              baſim
                <emph type="italics"/>
              ac
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              in duo ſegmenta
                <emph type="italics"/>
              kc
                <emph.end type="italics"/>
              maius,
                <lb/>
              &
                <emph type="italics"/>
              ka
                <emph.end type="italics"/>
              minus: dico motum reflexum fieri in partem
                <emph type="italics"/>
              kc
                <emph.end type="italics"/>
              ſe ­
                <lb/>
                <arrow.to.target n="fig17"/>
                <lb/>
              gmenti maioris. </s>
              <s>Excitetur enim linea hypomochlij
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              af:
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              quam
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              ſecet linea
                <emph type="italics"/>
              de
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              à centro perpendicularis quia
                <expan abbr="itaq;">itaque</expan>
              vectis eſt
                <lb/>
                <emph type="italics"/>
              da;
                <emph.end type="italics"/>
                <expan abbr="atq;">atque</expan>
              huius quadratum, ideſt totam grauitatem, ſecat bi­
                <lb/>
              fariam linea hypomochlij, iuxta demonſtrata in lib: de propor:
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              motûs; ſi quadratum
                <emph type="italics"/>
              ed
                <emph.end type="italics"/>
              fit grauitas mouens centri, erit hu­
                <lb/>
              ius complementum quadratum
                <emph type="italics"/>
              ae,
                <emph.end type="italics"/>
              menſura percuſsionis ſcu </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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