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

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      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="063/01/053.jpg"/>
              ex centro E ducatur ſemidiameter figuræ motûs EF:
                <expan abbr="ſitq;">ſitque</expan>
              in­
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              veniendum planum, in quo circulus P æquali celeritate feratur. </s>
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              <s>In lineâ verticali HI centro O deſcribatur circulus HMN: cu­
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              ius diameter HN ſit æqualis ſemidiametro figuræ motûs EF:
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              & ex puncto H ducatur chorda HM æqualis EG ſegmento in­
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              ter centrum figuræ & hypomochlium. </s>
              <s>Dico inuentum eſſe
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                <arrow.to.target n="fig14"/>
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              planum HML, in quo idem ſit circuli, qui trianguli in plano
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              HK motus. </s>
              <s>Nam ut EF ad EG, ita totus impulſus, ſeu verti­
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              caliter mouens ad impulſum in HK per 8. theor: & per po­
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              ſitionem 4-motus trianguli in HI ad motum eiuſdem in HK. </s>
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              <s>Et ut HN ad HM, ita motus circuli in HI ad motum eiuſdem in
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              HL per prop, 13 de pro por: motûs. </s>
              <s>At verò eandem ratio­
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              nem habet HN ad HM, quam EF ad EG per conſtructionem. </s>
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              <s>Igitur motus circuli in HL eſt æqualis motui trianguli in HK.
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              motum ergo trianguli iſogoni ijſdem loci interuallis terminaui­
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              mus, quod erat faciendam. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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