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="N10ADC">
              <p id="N10AEF" type="main">
                <s id="N10B4D">
                  <pb xlink:href="062/01/025.jpg"/>
                in ſagittam deriuatus, ac proinde motus ex
                  <expan abbr="utroq́">utroque</expan>
                ; mix­
                  <lb/>
                tus erit circularis. </s>
                <s id="N10BA8">Deſcribatur arcus
                  <emph type="italics"/>
                mn,
                  <emph.end type="italics"/>
                cujus centrum
                  <lb/>
                in oculo
                  <emph type="italics"/>
                l,
                  <emph.end type="italics"/>
                ſemidiameter verò ſagitta
                  <emph type="italics"/>
                al
                  <emph.end type="italics"/>
                : quæ ubi per ar­
                  <lb/>
                cum
                  <emph type="italics"/>
                ma
                  <emph.end type="italics"/>
                moueri cæpit, ab alio impulſu à neruo deriuato
                  <lb/>
                per lineam agitur
                  <emph type="italics"/>
                ad
                  <emph.end type="italics"/>
                : dico motum ex
                  <expan abbr="utroq;">utroque</expan>
                mixtum,
                  <lb/>
                nimirum ex motu
                  <emph type="italics"/>
                man,
                  <emph.end type="italics"/>
                & ex motu
                  <emph type="italics"/>
                ad
                  <emph.end type="italics"/>
                non poſſe fieri
                  <lb/>
                per lineam rectam. </s>
                <s id="N10BE3">Sit enim motus in
                  <emph type="italics"/>
                ad
                  <emph.end type="italics"/>
                ad motum in
                  <lb/>
                  <emph type="italics"/>
                man,
                  <emph.end type="italics"/>
                ut linea recta
                  <emph type="italics"/>
                ap
                  <emph.end type="italics"/>
                ad arcum
                  <emph type="italics"/>
                aq
                  <emph.end type="italics"/>
                : & aſſumatur linea
                  <lb/>
                  <emph type="italics"/>
                qh
                  <emph.end type="italics"/>
                æqualis lineæ
                  <emph type="italics"/>
                ap,
                  <emph.end type="italics"/>
                  <expan abbr="eritq́">eritque</expan>
                ; motus compoſitus ex
                  <emph type="italics"/>
                ap. aq
                  <emph.end type="italics"/>
                  <lb/>
                in
                  <emph type="italics"/>
                h:
                  <emph.end type="italics"/>
                ſimiliter oſtendemus motum in
                  <emph type="italics"/>
                i
                  <emph.end type="italics"/>
                &
                  <emph type="italics"/>
                g
                  <emph.end type="italics"/>
                componi ex
                  <lb/>
                motu recto & circulari: dico per puncta
                  <emph type="italics"/>
                hig
                  <emph.end type="italics"/>
                non pos-
                  <lb/>
                ſe duci lineam rectam. </s>
                <s id="N10C35">Sit enim, ſi fieri poteſt, linea
                  <emph type="italics"/>
                ab
                  <lb/>
                ig
                  <emph.end type="italics"/>
                recta, & ex puncto
                  <emph type="italics"/>
                q
                  <emph.end type="italics"/>
                ducatur linea tangens circulum
                  <lb/>
                in
                  <emph type="italics"/>
                q,
                  <emph.end type="italics"/>
                quæ
                  <expan abbr="utrimq́">utrimque</expan>
                ; producta ſecet lineas
                  <emph type="italics"/>
                lf. ld
                  <emph.end type="italics"/>
                in punctis
                  <lb/>
                s. u:
                  <expan abbr="eruntq́">eruntque</expan>
                ; lineæ
                  <emph type="italics"/>
                qs. qu
                  <emph.end type="italics"/>
                inter ſe æquales: quibus ex
                  <lb/>
                puncto
                  <emph type="italics"/>
                i
                  <emph.end type="italics"/>
                ducatur linea parallela
                  <emph type="italics"/>
                ix,
                  <emph.end type="italics"/>
                  <expan abbr="eritq́">eritque</expan>
                ; angulus
                  <emph type="italics"/>
                ixq
                  <emph.end type="italics"/>
                re
                  <lb/>
                ctus, quia ergo in triangulo
                  <emph type="italics"/>
                hxi
                  <emph.end type="italics"/>
                duo anguli
                  <emph type="italics"/>
                hxi. xhi
                  <emph.end type="italics"/>
                du­
                  <lb/>
                obus angulis
                  <emph type="italics"/>
                hqu.qhu
                  <emph.end type="italics"/>
                trianguli
                  <emph type="italics"/>
                hqu
                  <emph.end type="italics"/>
                ſunt æquales,
                  <expan abbr="uterq́">uterque</expan>
                ;
                  <lb/>
                  <expan abbr="utriq́">utrique</expan>
                , erunt ſimilia inter ſe; ac proinde ut
                  <emph type="italics"/>
                hi
                  <emph.end type="italics"/>
                ad
                  <emph type="italics"/>
                hq,
                  <emph.end type="italics"/>
                ita
                  <lb/>
                  <emph type="italics"/>
                xi
                  <emph.end type="italics"/>
                ad
                  <emph type="italics"/>
                qu,
                  <emph.end type="italics"/>
                hoc eſt ad
                  <emph type="italics"/>
                qs
                  <emph.end type="italics"/>
                illi æqualem. eſt autem linea
                  <emph type="italics"/>
                hx
                  <emph.end type="italics"/>
                  <lb/>
                æqualis lineæ
                  <emph type="italics"/>
                hq:
                  <emph.end type="italics"/>
                igitur & linea
                  <emph type="italics"/>
                xi
                  <emph.end type="italics"/>
                erit æqualis lineæ
                  <emph type="italics"/>
                qs,
                  <emph.end type="italics"/>
                  <lb/>
                quod eſt abſurdum: ſequeretur enim lineas
                  <emph type="italics"/>
                is. xq
                  <emph.end type="italics"/>
                in
                  <lb/>
                centro
                  <emph type="italics"/>
                l
                  <emph.end type="italics"/>
                concurrentes eſſe parallelas. </s>
                <s id="N10CEA">Reſpondeo ad
                  <lb/>
                primum, motum globuli, quo gyrando ad metam va­
                  <lb/>
                dit, eſſe compoſitum ex impulſu recto, quem ipſi </s>
              </p>
            </subchap1>
          </chap>
        </body>
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    </archimedes>
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