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="N12C69">
              <p id="N12C80" type="main">
                <s id="N12C90">
                  <pb xlink:href="062/01/077.jpg"/>
                  <expan abbr="uſq́">uſque</expan>
                ; motus ſimul ſumpti: ſi
                  <expan abbr="autẽ">autem</expan>
                motus fuerit inæqualis,
                  <lb/>
                  <expan abbr="maiorẽ">maiorem</expan>
                ſemiſſe. </s>
                <s id="N12D04">Sit primò motus in
                  <emph type="italics"/>
                ab
                  <emph.end type="italics"/>
                æqualis motui in
                  <lb/>
                  <emph type="italics"/>
                ac
                  <emph.end type="italics"/>
                : & ex
                  <emph type="italics"/>
                bc
                  <emph.end type="italics"/>
                termino
                  <expan abbr="utriuſq́">utriuſque</expan>
                ; motus demittantur lineæ
                  <lb/>
                perpendiculares
                  <emph type="italics"/>
                be. ce,
                  <emph.end type="italics"/>
                ſinus æqualium angulorum
                  <emph type="italics"/>
                cde,
                  <lb/>
                edb.
                  <emph.end type="italics"/>
                Quia ergo ut
                  <emph type="italics"/>
                ab
                  <emph.end type="italics"/>
                ad
                  <emph type="italics"/>
                ac,
                  <emph.end type="italics"/>
                ita ſinus complementi
                  <emph type="italics"/>
                eb
                  <emph.end type="italics"/>
                ad
                  <lb/>
                  <emph type="italics"/>
                ec,
                  <emph.end type="italics"/>
                erit diameter
                  <emph type="italics"/>
                ad
                  <emph.end type="italics"/>
                linea motus mixti. </s>
                <s id="N12D4F">Eſt autem mo­
                  <lb/>
                tus in
                  <emph type="italics"/>
                ab
                  <emph.end type="italics"/>
                &
                  <emph type="italics"/>
                ac
                  <emph.end type="italics"/>
                duratione quidem æqualis motui in
                  <emph type="italics"/>
                ae
                  <emph.end type="italics"/>
                  <lb/>
                per prop: 13. magnitudine verò minor, cujus exceſſus
                  <lb/>
                quadratum
                  <emph type="italics"/>
                eb.
                  <emph.end type="italics"/>
                &
                  <emph type="italics"/>
                ec,
                  <emph.end type="italics"/>
                ſeu
                  <emph type="italics"/>
                ae
                  <emph.end type="italics"/>
                &
                  <emph type="italics"/>
                ed
                  <emph.end type="italics"/>
                : at verò duo quadrata
                  <emph type="italics"/>
                ae.
                  <lb/>
                ed
                  <emph.end type="italics"/>
                ſunt ſemiſsis quadrati
                  <emph type="italics"/>
                ad,
                  <emph.end type="italics"/>
                hoc eſt motus in
                  <emph type="italics"/>
                ab.ac,
                  <emph.end type="italics"/>
                cui,
                  <lb/>
                æquale eſt quadratum
                  <emph type="italics"/>
                ad,
                  <emph.end type="italics"/>
                propterea quòd
                  <emph type="italics"/>
                ad
                  <emph.end type="italics"/>
                ſit dupla
                  <lb/>
                  <emph type="italics"/>
                ae
                  <emph.end type="italics"/>
                aut
                  <emph type="italics"/>
                ed
                  <emph.end type="italics"/>
                : igitur motus æqualiter mixtus fit per diame­
                  <lb/>
                trum parallelogrammi, & ab æquali impulſu eſt æqua­
                  <lb/>
                lis ſemiſsi
                  <expan abbr="utriuſq́">utriuſque</expan>
                ; motus ſimul ſumpti. </s>
                <s id="N12DB9">Quód ſi mo­
                  <lb/>
                tus ſit inæqualis, &
                  <emph type="italics"/>
                u.g.
                  <emph.end type="italics"/>
                dupló velocior in
                  <emph type="italics"/>
                ef
                  <emph.end type="italics"/>
                quam in
                  <emph type="italics"/>
                eg,
                  <emph.end type="italics"/>
                  <lb/>
                dico motum mixtum fieri quidem per diametrum
                  <emph type="italics"/>
                eb,
                  <emph.end type="italics"/>
                  <lb/>
                eſſe autem ſemiſſe maiorem. </s>
                <s id="N12DD8">Deſcripto enim centro
                  <emph type="italics"/>
                b
                  <emph.end type="italics"/>
                  <lb/>
                arcu
                  <emph type="italics"/>
                mn,
                  <emph.end type="italics"/>
                erit ſinus complementi
                  <emph type="italics"/>
                ik
                  <emph.end type="italics"/>
                ad ſinum comple­
                  <lb/>
                menti
                  <emph type="italics"/>
                ip,
                  <emph.end type="italics"/>
                ut motus in
                  <emph type="italics"/>
                ef
                  <emph.end type="italics"/>
                ad motum in
                  <emph type="italics"/>
                eg,
                  <emph.end type="italics"/>
                ac proinde di­
                  <lb/>
                ameter
                  <emph type="italics"/>
                eh
                  <emph.end type="italics"/>
                linea motus mixti: ad quam ex punctis
                  <emph type="italics"/>
                fg
                  <emph.end type="italics"/>
                du­
                  <lb/>
                ctæ lineæ perpendiculares
                  <emph type="italics"/>
                fl. go
                  <emph.end type="italics"/>
                metientur defectum
                  <lb/>
                motus in
                  <emph type="italics"/>
                eh.
                  <emph.end type="italics"/>
                Quia ergo ex angulo recto
                  <emph type="italics"/>
                efh
                  <emph.end type="italics"/>
                linea
                  <emph type="italics"/>
                fl
                  <emph.end type="italics"/>
                eſt
                  <lb/>
                perpendicularis ad baſim
                  <emph type="italics"/>
                eh,
                  <emph.end type="italics"/>
                erit ut
                  <emph type="italics"/>
                ef
                  <emph.end type="italics"/>
                ad
                  <emph type="italics"/>
                fh,
                  <emph.end type="italics"/>
                ita
                  <emph type="italics"/>
                el
                  <emph.end type="italics"/>
                ad
                  <emph type="italics"/>
                lf,
                  <emph.end type="italics"/>
                &
                  <lb/>
                  <emph type="italics"/>
                lf
                  <emph.end type="italics"/>
                ad
                  <emph type="italics"/>
                lh:
                  <emph.end type="italics"/>
                ponitur autem quadratum
                  <emph type="italics"/>
                ef
                  <emph.end type="italics"/>
                duplum quadrat
                  <lb/>
                  <emph type="italics"/>
                fh,
                  <emph.end type="italics"/>
                ſiue
                  <emph type="italics"/>
                eg,
                  <emph.end type="italics"/>
                erit ergo quadratum
                  <emph type="italics"/>
                fl
                  <emph.end type="italics"/>
                ſimiliter
                  <expan abbr="duplũ">duplum</expan>
                </s>
              </p>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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