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

Table of figures

< >
< >
page |< < of 145 > >|
    <archimedes>
      <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
                <lb/>
              veniendum planum, in quo circulus P æquali celeritate feratur. </s>
              <lb/>
              <s>In lineâ verticali HI centro O deſcribatur circulus HMN: cu­
                <lb/>
              ius diameter HN ſit æqualis ſemidiametro figuræ motûs EF:
                <lb/>
              & ex puncto H ducatur chorda HM æqualis EG ſegmento in­
                <lb/>
              ter centrum figuræ & hypomochlium. </s>
              <s>Dico inuentum eſſe
                <lb/>
                <arrow.to.target n="fig14"/>
                <lb/>
              planum HML, in quo idem ſit circuli, qui trianguli in plano
                <lb/>
              HK motus. </s>
              <s>Nam ut EF ad EG, ita totus impulſus, ſeu verti­
                <lb/>
              caliter mouens ad impulſum in HK per 8. theor: & per po­
                <lb/>
              ſitionem 4-motus trianguli in HI ad motum eiuſdem in HK. </s>
              <lb/>
              <s>Et ut HN ad HM, ita motus circuli in HI ad motum eiuſdem in
                <lb/>
              HL per prop, 13 de pro por: motûs. </s>
              <s>At verò eandem ratio­
                <lb/>
              nem habet HN ad HM, quam EF ad EG per conſtructionem. </s>
              <lb/>
              <s>Igitur motus circuli in HL eſt æqualis motui trianguli in HK.
                <lb/>
              motum ergo trianguli iſogoni ijſdem loci interuallis terminaui­
                <lb/>
              mus, quod erat faciendam. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum