Marci of Kronland, Johannes Marcus, De proportione motus, seu regula sphygmica ad celeritatem et tarditatem pulsuum, 1639

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    <archimedes>
      <text>
        <body>
          <chap id="N10308">
            <subchap1 id="N11F4A">
              <p id="N12383" type="main">
                <s id="N12385">
                  <pb xlink:href="062/01/066.jpg"/>
                  <emph type="italics"/>
                tercipientes illos arcus,
                  <expan abbr="habeatq́">habeatque</expan>
                ; ſinus primus ad arcum interce­
                  <lb/>
                ptum majorem rationem quam triplam, erit ſinus ſecundus major
                  <lb/>
                illo arcu intercepto.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p id="N1239D" type="main">
                <s id="N1239F">QVia enim ut ſinus ita arcus intercepti; habent
                  <expan abbr="autẽ">autem</expan>
                  <lb/>
                ſinus proximi rationem ad ſe minorem quam du­
                  <lb/>
                plam, per Lemma 3; habebunt
                  <expan abbr="quoq́">quoque</expan>
                ; arcus minorem
                  <lb/>
                rationem quam duplam. </s>
                <s id="N123B0">Et quia ut ſinus ad ſinum, ita
                  <lb/>
                arcus ad arcum, erit permutando ut ſinus primus ad ar­
                  <lb/>
                cum primum, ita ſinus ſecundus ad arcum ſecundum:
                  <lb/>
                habet autem ſinus primus ad arcum primum majorem
                  <lb/>
                rationem quam triplam, habebit
                  <expan abbr="quoq́">quoque</expan>
                ; ſinus ſecundus
                  <lb/>
                ad arcum ſecundum majorem rationem quam triplam.
                  <lb/>
                Quia ergo ad eundem arcum ſecundum majorem rati­
                  <lb/>
                onem habet ſinus ſecundus, quam arcus primus, erit ſi­
                  <lb/>
                nus ſecundus major quam arcus primus, hoc eſt quam
                  <lb/>
                arcus interceptus. </s>
              </p>
            </subchap1>
            <subchap1 id="N123C9">
              <p id="N123CA" type="main">
                <s id="N123CC">
                  <emph type="center"/>
                Propoſitio XXIV.
                  <emph.end type="center"/>
                </s>
              </p>
              <p id="N123D3" type="main">
                <s id="N123D5">
                  <emph type="italics"/>
                Perpendiculum ex quolibet puncto ejuſdem circuli æquali tem­
                  <lb/>
                pore recurrit in ſuam ſtationem.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p id="N123DE" type="main">
                <s id="N123E0">IN circulo
                  <emph type="italics"/>
                tuxb
                  <emph.end type="italics"/>
                ſint duo perpendicula
                  <emph type="italics"/>
                ab. ad
                  <emph.end type="italics"/>
                extra ſu
                  <lb/>
                am ſtationem
                  <emph type="italics"/>
                at,
                  <emph.end type="italics"/>
                  <expan abbr="habeatq́">habeatque</expan>
                ; ſinus totus
                  <emph type="italics"/>
                ab
                  <emph.end type="italics"/>
                ad interual­
                  <lb/>
                lum
                  <emph type="italics"/>
                bd
                  <emph.end type="italics"/>
                majorem rationem quam triplá, dico
                  <expan abbr="utrumq́">utrumque</expan>
                ; </s>
              </p>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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