Varro, Michael, De motv tractatvs

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="044/01/034.jpg" pagenum="26"/>
              ſunt aut diuiſa, ſimplicia aut compoſita. </s>
            </p>
            <p type="main">
              <s>Horum autem mediorum opera fit vt vires illis
                <lb/>
              applicatæ, quarum iidem ſunt nutus, contrariis mo­
                <lb/>
              tibus moueantur. </s>
              <s>Id
                <expan abbr="autẽ">autem</expan>
              fit cùm in mediis illis inter
                <lb/>
                <expan abbr="eorũ">eorum</expan>
              extrema interiacet quies vna vel plures. </s>
              <s>
                <expan abbr="Exẽpli">Exempli</expan>
                <lb/>
              gratia, ſi duo pondera funis extremitatibus alligata
                <lb/>
              ſint, & funis clauo fixo & immobili incumbat pro­
                <lb/>
              pter illam quietem inter
                <expan abbr="vtrumq;">vtrumque</expan>
              pondus
                <expan abbr="poſitã">poſitam</expan>
                <expan abbr="nõ">non</expan>
                <lb/>
              poterit
                <expan abbr="alterũ">alterum</expan>
              deorſum moueri, quin
                <expan abbr="alterũ">alterum</expan>
              ſurſum
                <lb/>
              moueatur. </s>
              <s>
                <expan abbr="Idẽ">Idem</expan>
              fiet in linea recta, ſi enim illius extre­
                <lb/>
              mitatibus pondera duo annexa ſint, & inter ea ſit in
                <lb/>
              illa
                <expan abbr="punctũ">punctum</expan>
              aliquod quieſcens, dum alterum ex illis
                <lb/>
              ponderibus deorſum feretur, alterum aſcendet. </s>
              <s>
                <expan abbr="Pũ-ctum">Pun­
                  <lb/>
                ctum</expan>
              autem illud quieſcens in linea illa recta, Gręcis
                <lb/>
              hypomochlium dicitur, eò quòd vecti, quem
                <foreign lang="grc">μόχλον</foreign>
                <lb/>
              vocant, ſubiiciatur. </s>
              <s>Huius autem hypomochlij, in
                <lb/>
              recta linea ſe vecte collocatio faciet, vt lineæ extre­
                <lb/>
              ma ſecundum datam rationem moueantur. </s>
              <s>Si enim
                <lb/>
              recta linea in datam rationem diuiſa fuerit, hoc eſt,
                <lb/>
              vt pars altera ad
                <expan abbr="alterã">alteram</expan>
              eam habeat
                <expan abbr="rationẽ">rationem</expan>
              ,
                <expan abbr="quã">quam</expan>
              quis
                <lb/>
              voluerit. (Quod
                <expan abbr="quidẽ">quidem</expan>
              quo modo fiat docet Euc.) &
                <lb/>
              in puncto diuiſionis collocetur
                <expan abbr="hypomochliũ">hypomochlium</expan>
              , illius
                <lb/>
              lineæ extrema ſecundum
                <expan abbr="illã">illam</expan>
                <expan abbr="rationẽ">rationem</expan>
              mouebuntur:
                <lb/>
              ſiue enim conſideretur
                <expan abbr="circulorũ">circulorum</expan>
              , quos illa extrema
                <lb/>
              deſcribent, proportio ſiue ſpatium quod illa in linea
                <lb/>
              perpendiculari notabunt vtroque modo illi motus, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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