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="N11271">
              <p id="N11286" type="main">
                <s id="N112A4">
                  <pb xlink:href="062/01/039.jpg"/>
                neam inclinatam
                  <emph type="italics"/>
                ade:
                  <emph.end type="italics"/>
                quia ergo motus
                  <emph type="italics"/>
                ad
                  <emph.end type="italics"/>
                motui
                  <emph type="italics"/>
                ab,
                  <emph.end type="italics"/>
                &
                  <lb/>
                motus
                  <emph type="italics"/>
                ae
                  <emph.end type="italics"/>
                motui
                  <emph type="italics"/>
                ac
                  <emph.end type="italics"/>
                eſt æqualis ut prop: 13. oſtendemus:
                  <lb/>
                ſunt autem duo triangula
                  <emph type="italics"/>
                dab. eac
                  <emph.end type="italics"/>
                ſimilia inter ſe, erit
                  <lb/>
                ut
                  <emph type="italics"/>
                bc
                  <emph.end type="italics"/>
                ad
                  <emph type="italics"/>
                ba,
                  <emph.end type="italics"/>
                ita
                  <emph type="italics"/>
                de
                  <emph.end type="italics"/>
                ad
                  <emph type="italics"/>
                da,
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                incrementa nimirum velocita­
                  <lb/>
                tis motus in linea perpendiculari & lineà inclinata. </s>
                <s id="N112FC">In
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                crementa ergo velocitatis eadem ratione fiunt &c. </s>
              </p>
            </subchap1>
            <subchap1 id="N11301">
              <p id="N11302" type="main">
                <s id="N11304">
                  <emph type="center"/>
                Propoſitio XI.
                  <emph.end type="center"/>
                </s>
              </p>
              <p id="N1130B" type="main">
                <s id="N1130D">
                  <emph type="italics"/>
                Impulſus in quolibet motu ſeu recto, ſeu inclinato eſt major gra­
                  <lb/>
                uitate.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p id="N11316" type="main">
                <s id="N11318">MOtum in quolibet puncto lineæ perpendicularis
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                eſſe majorem ſuà grauitate nullum eſt dubium:
                  <lb/>
                nam cùm velocitas cum ipſo motu incipiat augeri, ſicu
                  <lb/>
                ti à principio eſt æqualis grauitati, ita in progreſſu erit
                  <lb/>
                major grauitate. </s>
                <s id="N11323">At verò de motu per lineam inclina­
                  <lb/>
                tam dubitari poteſt: propterea quód à grauitate fiat im
                  <lb/>
                pedità, ac proinde minori: id tamen hac ratione oſten­
                  <lb/>
                demus. </s>
                <s id="N1132C">Grauitas in lineà inclinatà eò magis impeditur
                  <lb/>
                à ſuà velocitate, quò magis hæc inclinatur,
                  <expan abbr="eſtq́">eſtque</expan>
                ; ſinus an
                  <lb/>
                guli inclinationis idem qui grauitatis exceſſus: uti
                  <lb/>
                prop: 14. oſtendemus: grauitas ergo per lineam perpen­
                  <lb/>
                dicularem ad grauitatem per lineam inclinatam, ut ſi­
                  <lb/>
                nus totus ad ſinum complementi anguli inclinationis,
                  <lb/>
                ac proinde ut linea
                  <emph type="italics"/>
                ab
                  <emph.end type="italics"/>
                ad linea
                  <emph type="italics"/>
                ad.
                  <emph.end type="italics"/>
                at verò velocitas in
                  <emph type="italics"/>
                b
                  <emph.end type="italics"/>
                </s>
              </p>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>