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

Table of figures

< >
< >
page |< < of 129 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10308">
            <subchap1 id="N1138A">
              <p id="N1139F" type="main">
                <s id="N113F4">
                  <pb xlink:href="062/01/042.jpg"/>
                motum unius minuti; propterea quòd latus
                  <emph type="italics"/>
                ca
                  <emph.end type="italics"/>
                ad latus
                  <lb/>
                  <emph type="italics"/>
                ba
                  <emph.end type="italics"/>
                eandem habeat rationem, quam latus
                  <emph type="italics"/>
                ic
                  <emph.end type="italics"/>
                ad latus
                  <emph type="italics"/>
                hb,
                  <emph.end type="italics"/>
                  <lb/>
                ac proinde illorum quadrata in eadem
                  <expan abbr="quoq́">quoque</expan>
                , ratione,
                  <lb/>
                nimirum duplicata. </s>
                <s id="N11489">
                  <expan abbr="Itaq́">Itaque</expan>
                ; ſi quadratum lateris
                  <emph type="italics"/>
                ab,
                  <emph.end type="italics"/>
                hoc
                  <lb/>
                eſt primi minuti, ſubtrahas â quadrato
                  <emph type="italics"/>
                ac
                  <emph.end type="italics"/>
                ſecundi minu­
                  <lb/>
                ti, numerus reliquus dabit velocitatem motus in eodem
                  <lb/>
                minuto: ut ſi cubitum unum
                  <emph type="italics"/>
                vg.
                  <emph.end type="italics"/>
                perambulet in primo
                  <lb/>
                minuto, hujus quadratum, ideſt unum, ab illius quadra
                  <lb/>
                to, id, eſt â quatuor ſubtractum relinquit tria totidem
                  <lb/>
                cubitorum illi ſpatio, per quod
                  <emph type="italics"/>
                a
                  <emph.end type="italics"/>
                mouetur in minuto 2.
                  <lb/>
                tribuenda. </s>
                <s id="N114B5">Similiter quia 3. minutis conficit cubitos 9.
                  <lb/>
                ablato ex his quadrato ſecundi minuti, numerus reli­
                  <lb/>
                quus dabit velocitatem 5. cubitorum, qui minuto 3. de­
                  <lb/>
                bentur. </s>
                <s id="N114BE">Rurſum â numero 4. minuti in ſe ducto, ideſt
                  <lb/>
                16. ablatis 9. quadrato tertij minuti rem anet numerus 7.
                  <lb/>
                pro 4. minuto: totidem ergo cubitorum ſpatium trans­
                  <lb/>
                mittit mobile
                  <emph type="italics"/>
                a
                  <emph.end type="italics"/>
                in minuto quarto. </s>
                <s id="N114CD">Quód ſi angulus
                  <lb/>
                augmenti major ſit aut minor ſemiſſe anguli recti, ut
                  <lb/>
                angulus
                  <emph type="italics"/>
                qag.
                  <emph.end type="italics"/>
                aut
                  <emph type="italics"/>
                rag,
                  <emph.end type="italics"/>
                quod quidem contingit, cùm vir­
                  <lb/>
                tus impulſiua magis aut minùs eſt intenſa, tum quidem
                  <lb/>
                illa virtus magis perfecta ex illo puncto continuò majo
                  <lb/>
                ra ſumit incrementa: eadem tamen demonſtratio,
                  <expan abbr="atq́">atque</expan>
                ;
                  <lb/>
                eadem eſt proportio
                  <expan abbr="utrobiq́">utrobique</expan>
                ;, propterea quòd parallelo­
                  <lb/>
                gramma in proportione
                  <expan abbr="quoq́">quoque</expan>
                ; ſint duplicatá ſuorum
                  <lb/>
                laterum ſimul ſumptorum.| </s>
              </p>
            </subchap1>
            <subchap1 id="N114F8"> </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>