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

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      <text>
        <body>
          <chap id="N10308">
            <subchap1 id="N127DD">
              <p id="N127F2" type="main">
                <s id="N1283B">
                  <pb xlink:href="062/01/072.jpg"/>
                cus
                  <emph type="italics"/>
                db
                  <emph.end type="italics"/>
                ad ſinum arcus
                  <emph type="italics"/>
                ec.
                  <emph.end type="italics"/>
                Motus ergo per arcus ſimiles
                  <lb/>
                inæqualium circulorum rationem habent quam ſinus
                  <lb/>
                illorum arcuum, </s>
              </p>
            </subchap1>
            <subchap1 id="N12936">
              <p id="N12937" type="main">
                <s id="N12939">
                  <emph type="center"/>
                Propoſitio XXVII.
                  <emph.end type="center"/>
                </s>
              </p>
              <p id="N12940" type="main">
                <s id="N12942">
                  <emph type="italics"/>
                Motus in circulo minori eſt velocior motu in circulo majori.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p id="N12949" type="main">
                <s id="N1294B">IN circulo maiori
                  <emph type="italics"/>
                dfb
                  <emph.end type="italics"/>
                perpendiculum ex
                  <emph type="italics"/>
                f
                  <emph.end type="italics"/>
                in
                  <emph type="italics"/>
                b,
                  <emph.end type="italics"/>
                in cir­
                  <lb/>
                culo verò minori
                  <emph type="italics"/>
                mgc
                  <emph.end type="italics"/>
                ex
                  <emph type="italics"/>
                g
                  <emph.end type="italics"/>
                in
                  <emph type="italics"/>
                c
                  <emph.end type="italics"/>
                moueatur: dico velo­
                  <lb/>
                ciùs ex
                  <emph type="italics"/>
                g
                  <emph.end type="italics"/>
                in
                  <emph type="italics"/>
                c,
                  <emph.end type="italics"/>
                quam ex
                  <emph type="italics"/>
                f
                  <emph.end type="italics"/>
                in
                  <emph type="italics"/>
                b
                  <emph.end type="italics"/>
                recurrere. </s>
                <s id="N1298E">Quia enim mo­
                  <lb/>
                tus in
                  <emph type="italics"/>
                fb
                  <emph.end type="italics"/>
                ad motum in
                  <emph type="italics"/>
                gc,
                  <emph.end type="italics"/>
                ut ſinus
                  <emph type="italics"/>
                bg
                  <emph.end type="italics"/>
                ad
                  <expan abbr="ſinũ">ſinum</expan>
                  <emph type="italics"/>
                cu
                  <emph.end type="italics"/>
                per prop:
                  <lb/>
                25. & ut
                  <emph type="italics"/>
                bg
                  <emph.end type="italics"/>
                ad
                  <emph type="italics"/>
                cu,
                  <emph.end type="italics"/>
                ita
                  <emph type="italics"/>
                ab
                  <emph.end type="italics"/>
                ad
                  <emph type="italics"/>
                ac,
                  <emph.end type="italics"/>
                propterea quód lineæ
                  <emph type="italics"/>
                bg cu
                  <emph.end type="italics"/>
                  <lb/>
                ſint parallelæ, & triangula
                  <emph type="italics"/>
                bag. eau
                  <emph.end type="italics"/>
                ſimilia: eſt autem
                  <lb/>
                maior linea
                  <emph type="italics"/>
                ab
                  <emph.end type="italics"/>
                quam
                  <emph type="italics"/>
                ac,
                  <emph.end type="italics"/>
                erit
                  <expan abbr="quoq́">quoque</expan>
                ;
                  <emph type="italics"/>
                bg
                  <emph.end type="italics"/>
                maior quam
                  <emph type="italics"/>
                cu
                  <emph.end type="italics"/>
                  <lb/>
                maior ergo motus ab eadem velocitate in
                  <emph type="italics"/>
                bg,
                  <emph.end type="italics"/>
                hoc eſt in
                  <lb/>
                  <emph type="italics"/>
                fb
                  <emph.end type="italics"/>
                maiori, quam in
                  <emph type="italics"/>
                cu,
                  <emph.end type="italics"/>
                hoc eſt in
                  <emph type="italics"/>
                ge,
                  <emph.end type="italics"/>
                minori interuallo
                  <lb/>
                per prop: 5. ac proinde in circulo minori eſt velocior
                  <lb/>
                motus, hoc eſt minori fit tempore, quam in circulo ma­
                  <lb/>
                jori. </s>
              </p>
            </subchap1>
            <subchap1 id="N12A15">
              <p id="N12A16" type="main">
                <s id="N12A18">
                  <emph type="center"/>
                Propoſitio XXVIII.
                  <emph.end type="center"/>
                </s>
              </p>
              <p id="N12A1F" type="main">
                <s id="N12A21">
                  <emph type="italics"/>
                Motus circulorum ſunt in ratione ſuorum temporum, quam ha­
                  <lb/>
                bent diametri ad ſe duplicatam.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p id="N12A2A" type="main">
                <s id="N12A2C">QVia enim ut ſinus
                  <emph type="italics"/>
                bg
                  <emph.end type="italics"/>
                ad ſinum
                  <emph type="italics"/>
                cu,
                  <emph.end type="italics"/>
                ita motus in
                  <emph type="italics"/>
                fb
                  <emph.end type="italics"/>
                  <lb/>
                ad motum in
                  <emph type="italics"/>
                gc
                  <emph.end type="italics"/>
                per prop. 25. eſt autem ut
                  <emph type="italics"/>
                bg
                  <emph.end type="italics"/>
                ad
                  <emph type="italics"/>
                cu
                  <emph.end type="italics"/>
                </s>
              </p>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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