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="N123C9">
              <p id="N123DE" type="main">
                <s id="N125CA">
                  <pb xlink:href="062/01/069.jpg"/>
                onalis minor qua
                  <emph type="italics"/>
                qs:
                  <emph.end type="italics"/>
                quia verò ſinus
                  <emph type="italics"/>
                rs
                  <emph.end type="italics"/>
                eſt maior arcu
                  <emph type="italics"/>
                sq
                  <emph.end type="italics"/>
                  <lb/>
                per Lemma 4. minor autem arcu
                  <emph type="italics"/>
                ts,
                  <emph.end type="italics"/>
                erit arcus
                  <emph type="italics"/>
                ts
                  <emph.end type="italics"/>
                multò
                  <lb/>
                major arcu proportionali: poſito ergo perpendiculo
                  <emph type="italics"/>
                ab
                  <emph.end type="italics"/>
                  <lb/>
                in
                  <emph type="italics"/>
                s,
                  <emph.end type="italics"/>
                perpendiculum
                  <emph type="italics"/>
                ad
                  <emph.end type="italics"/>
                necdum eſſe poteſt in
                  <emph type="italics"/>
                t.
                  <emph.end type="italics"/>
                Quod
                  <lb/>
                idem de quouis alio puncto oſtendemus. </s>
                <s id="N12677">Quia ergo
                  <lb/>
                perpendiculum
                  <expan abbr="neq́">neque</expan>
                ; propiùs concurrere,
                  <expan abbr="neq́">neque</expan>
                ; præcur­
                  <lb/>
                rere poteſt, concurret neceſſariò in
                  <emph type="italics"/>
                t.
                  <emph.end type="italics"/>
                Poterit eadem ra­
                  <lb/>
                tio in hunc modum fieri: motus ſe habent ut ſinus
                  <expan abbr="atq́">atque</expan>
                ;
                  <lb/>
                horum interualla, ſeu arcus ſinubus intercepti: hæc au­
                  <lb/>
                tem interualla continuò fiunt minora, in puncto verò
                  <lb/>
                  <emph type="italics"/>
                t
                  <emph.end type="italics"/>
                nulla: igitur & motus continuó minori, in puncto ve­
                  <lb/>
                rò
                  <emph type="italics"/>
                t
                  <emph.end type="italics"/>
                nullo
                  <expan abbr="abſiſtũt">abſiſtunt</expan>
                interuallo, Quòd ſi aſſumantur plura
                  <lb/>
                puncta
                  <emph type="italics"/>
                b.d. f.h.k.m.
                  <emph.end type="italics"/>
                &c. eadem vià oſtendemus ex omni­
                  <lb/>
                bus ſimul recurrere in
                  <emph type="italics"/>
                t
                  <emph.end type="italics"/>
                : ſicuti enim ex
                  <emph type="italics"/>
                b
                  <emph.end type="italics"/>
                &
                  <emph type="italics"/>
                d,
                  <emph.end type="italics"/>
                ita ex
                  <emph type="italics"/>
                d
                  <emph.end type="italics"/>
                &
                  <emph type="italics"/>
                f,
                  <emph.end type="italics"/>
                  <lb/>
                & ex
                  <emph type="italics"/>
                f
                  <emph.end type="italics"/>
                &
                  <emph type="italics"/>
                b, et
                  <emph.end type="italics"/>
                ex
                  <emph type="italics"/>
                h
                  <emph.end type="italics"/>
                &
                  <emph type="italics"/>
                k
                  <emph.end type="italics"/>
                &c. æqualis fit recurſus. </s>
                <s id="N126EB">Perpen­
                  <lb/>
                diculum ergo ex
                  <emph type="italics"/>
                b
                  <emph.end type="italics"/>
                &
                  <emph type="italics"/>
                d
                  <emph.end type="italics"/>
                æqualiter recurrens recurret
                  <lb/>
                  <expan abbr="quoq́">quoque</expan>
                ; æqualiter ex
                  <emph type="italics"/>
                b
                  <emph.end type="italics"/>
                &
                  <emph type="italics"/>
                f
                  <emph.end type="italics"/>
                &
                  <emph type="italics"/>
                h
                  <emph.end type="italics"/>
                &
                  <emph type="italics"/>
                k
                  <emph.end type="italics"/>
                &c. </s>
              </p>
            </subchap1>
            <subchap1 id="N1271A">
              <p id="N1271B" type="main">
                <s id="N1271D">
                  <emph type="center"/>
                Propoſitio XXV.
                  <emph.end type="center"/>
                </s>
              </p>
              <p id="N12724" type="main">
                <s id="N12726">
                  <emph type="italics"/>
                Excurſus perpendiculi in eodem circulo à lineà ſtationis ſunt in­
                  <lb/>
                ter ſe æqualis.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p id="N1272F" type="main">
                <s id="N12731">QVia (in fig: 8.) velocitas in
                  <emph type="italics"/>
                eb
                  <emph.end type="italics"/>
                velocitati in
                  <emph type="italics"/>
                fb,
                  <emph.end type="italics"/>
                &
                  <lb/>
                velocitas in
                  <emph type="italics"/>
                cb
                  <emph.end type="italics"/>
                eſt æqualis velocitati in
                  <emph type="italics"/>
                db
                  <emph.end type="italics"/>
                per prop.
                  <lb/>
                20. eſt
                  <expan abbr="autẽ">autem</expan>
                velocitas in
                  <emph type="italics"/>
                eb
                  <emph.end type="italics"/>
                ad
                  <expan abbr="velocitatẽ">velocitatem</expan>
                in
                  <emph type="italics"/>
                cb,
                  <emph.end type="italics"/>
                ut arcus
                  <emph type="italics"/>
                e
                  <emph.end type="italics"/>
                </s>
              </p>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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