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="N11B43">
              <p id="N11B58" type="main">
                <s id="N11B82">
                  <pb xlink:href="062/01/054.jpg"/>
                in
                  <emph type="italics"/>
                d
                  <emph.end type="italics"/>
                eſſe æquale. </s>
                <s id="N11BFD">Ducantur enim lineæ tangentes
                  <emph type="italics"/>
                eg fg,
                  <emph.end type="italics"/>
                  <lb/>
                &
                  <emph type="italics"/>
                cb. dh:
                  <emph.end type="italics"/>
                  <expan abbr="eritq́">eritque</expan>
                ; inclinatio
                  <emph type="italics"/>
                eg
                  <emph.end type="italics"/>
                inclinationi
                  <emph type="italics"/>
                fg,
                  <emph.end type="italics"/>
                & inclina­
                  <lb/>
                tio
                  <emph type="italics"/>
                ch
                  <emph.end type="italics"/>
                æqualis inclinationi
                  <emph type="italics"/>
                dh
                  <emph.end type="italics"/>
                : propterea quòd
                  <expan abbr="ãguli">anguli</expan>
                  <emph type="italics"/>
                ega.
                  <lb/>
                fga,
                  <emph.end type="italics"/>
                & anguli
                  <emph type="italics"/>
                cha. dha
                  <emph.end type="italics"/>
                ſunt æquales, impulſus ergo gra­
                  <lb/>
                uitatis in
                  <emph type="italics"/>
                e
                  <emph.end type="italics"/>
                ejuſdem impulſui in
                  <emph type="italics"/>
                f,
                  <emph.end type="italics"/>
                & impulſus grauitatis
                  <lb/>
                in
                  <emph type="italics"/>
                c
                  <emph.end type="italics"/>
                ejuſdem impulſui in
                  <emph type="italics"/>
                d
                  <emph.end type="italics"/>
                eſt æqualis, ut conſtat ex
                  <lb/>
                prop. 14. </s>
                <s id="N11C5B">Quia ergo impulſus æquales in
                  <emph type="italics"/>
                e
                  <emph.end type="italics"/>
                quidem &
                  <emph type="italics"/>
                c
                  <emph.end type="italics"/>
                  <lb/>
                augent, in
                  <emph type="italics"/>
                f
                  <emph.end type="italics"/>
                verò &
                  <emph type="italics"/>
                d
                  <emph.end type="italics"/>
                minuunt velocitatem motus,
                  <expan abbr="erũt">erunt</expan>
                  <lb/>
                æqualia velocitatis augmenta ejuſdem decremento; ac
                  <lb/>
                proinde velocitas in motu collecta per æqualia ſuo aug
                  <lb/>
                mento decrementa in quietem terminatur. </s>
                <s id="N11C81">Obijcies ſi
                  <lb/>
                velocitas excurſus ſimul ſumpta eſt æqualis velocitati in
                  <lb/>
                recurſu collectæ, quia velocitas æqualis eodem vel æ­
                  <lb/>
                quali tempore per ſpatium mouet æquale, erunt excur­
                  <lb/>
                ſus & recurſus inter ſe æquales: ac proinde motus per­
                  <lb/>
                pendiculi infinitus. </s>
                <s id="N11C8E">Reſpondent quidam excurſum eſ­
                  <lb/>
                ſe minorem recurſu: propterea quód illius motus à fu­
                  <lb/>
                niculo perturbetur, cujus partes inæqualiter mouen­
                  <lb/>
                tur: velociùs quidem centro propiores, minùs autem
                  <lb/>
                velociter à centro remotiores. </s>
                <s id="N11C99">Dum ergo hæ reſtitant,
                  <lb/>
                & minorum circulorum velocitatem morantur; illæ
                  <lb/>
                præcurrere feſtinant: neceſſe ex illà luctâ impulſum mi­
                  <lb/>
                nui, ut non niſi ad minus interuallum ſe extendat. </s>
                <s id="N11CA2">Hu­
                  <lb/>
                jus autem ſignum eſſe illos ſinus, in quos funis contor­
                  <lb/>
                quetur, & veluti fluctuat. </s>
                <s id="N11CA9">Verùm licet in fune, aut </s>
              </p>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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