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="N11F4A">
              <p id="N121B1" type="main">
                <s id="N121B6">
                  <pb xlink:href="062/01/064.jpg"/>
                  <emph type="italics"/>
                bd. df.fh
                  <emph.end type="italics"/>
                inter ſe æquales, minor erit proportio ſinus
                  <emph type="italics"/>
                ab
                  <emph.end type="italics"/>
                  <lb/>
                ad arcum
                  <emph type="italics"/>
                bd
                  <emph.end type="italics"/>
                quam tripla, habebit ergo ad arcum mino­
                  <lb/>
                rem, quam ſit
                  <emph type="italics"/>
                bd,
                  <emph.end type="italics"/>
                rationem triplam, qui ſit
                  <emph type="italics"/>
                bq,
                  <emph.end type="italics"/>
                  <expan abbr="atq́">atque</expan>
                ; hunc
                  <lb/>
                intercipiens ſinus
                  <emph type="italics"/>
                pq
                  <emph.end type="italics"/>
                maior ſinu
                  <emph type="italics"/>
                cd:
                  <emph.end type="italics"/>
                dico ſinus proximos
                  <lb/>
                intercipientes illos arcus, nimirum
                  <emph type="italics"/>
                ab
                  <emph.end type="italics"/>
                &
                  <emph type="italics"/>
                cd,
                  <emph.end type="italics"/>
                aut
                  <emph type="italics"/>
                cd
                  <emph.end type="italics"/>
                &
                  <emph type="italics"/>
                ef.
                  <emph.end type="italics"/>
                  <lb/>
                aut
                  <emph type="italics"/>
                ef
                  <emph.end type="italics"/>
                &
                  <emph type="italics"/>
                gh
                  <emph.end type="italics"/>
                minorem rationem habere quam duplam.
                  <lb/>
                Erit enim ſinus
                  <emph type="italics"/>
                cd.
                  <emph.end type="italics"/>
                grad: 70, & ſinus
                  <emph type="italics"/>
                ef
                  <emph.end type="italics"/>
                grad: 50. & ſinus
                  <emph type="italics"/>
                gh
                  <emph.end type="italics"/>
                  <lb/>
                gtad: 30. at verò ſinus totus
                  <emph type="italics"/>
                ab
                  <emph.end type="italics"/>
                100000. ad ſinum
                  <emph type="italics"/>
                cd
                  <emph.end type="italics"/>
                grad.
                  <lb/>
                70, nimirum ad 93969, & ſinus
                  <emph type="italics"/>
                ef
                  <emph.end type="italics"/>
                grad: 50 ad ſinum
                  <emph type="italics"/>
                gh
                  <emph.end type="italics"/>
                  <lb/>
                grad. 30 ideſt. 76604. ad 50000 minorem habet
                  <expan abbr="rationẽ">rationem</expan>
                  <lb/>
                quam duplam. </s>
                <s id="N12279">Quod idem de aliis ſinubus proximè in­
                  <lb/>
                tercipientibus illos arcus æquales, ex tabulis ſinuum
                  <lb/>
                conſtabit. </s>
                <s id="N12280">Quia verò ſinus propiores minorem ha­
                  <lb/>
                bent rationem, erit minor proportio
                  <emph type="italics"/>
                ab
                  <emph.end type="italics"/>
                ad
                  <emph type="italics"/>
                pq
                  <emph.end type="italics"/>
                quam ad
                  <lb/>
                  <emph type="italics"/>
                cd.
                  <emph.end type="italics"/>
                ac proinde minor quam dupla. </s>
                <s id="N12299">Si ergo quadrans cir­
                  <lb/>
                culi diuidatur in quotlibet arcus æquales, minores verò
                  <lb/>
                quam in ratione ſubtriplá ad ſinum totum, habebunt ſi­
                  <lb/>
                nus proximi intercipientes illos arcus minorem ratio­
                  <lb/>
                nem quam duplam. </s>
              </p>
              <p id="N122A4" type="main">
                <s id="N122A6">
                  <emph type="center"/>
                  <emph type="italics"/>
                Lemma III.
                  <emph.end type="italics"/>
                  <emph.end type="center"/>
                </s>
              </p>
              <p id="N122B1" type="main">
                <s id="N122B3">
                  <emph type="italics"/>
                Si aſſumantur arcus in ratione continuá, quam habent ſinus
                  <lb/>
                intercipientes illos arcus,
                  <expan abbr="habeatq́">habeatque</expan>
                ; ſinus primus ad arcum interce­
                  <lb/>
                ptum majorem rationem quam triplam, habebunt ſinus proximi ra
                  <lb/>
                tionem ad ſe minorem quam duplam.
                  <emph.end type="italics"/>
                </s>
              </p>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
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