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

List of thumbnails

< >
61
61 		62
62
63
63 		64
64
65
65 		66
66
67
67 		68
68
69
69 		70
70
< >
page |< < of 129 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10308">
            <subchap1 id="N1271A">
              <p id="N1272F" type="main">
                <s id="N12731">
                  <pb xlink:href="062/01/070.jpg"/>
                  <emph type="italics"/>
                b
                  <emph.end type="italics"/>
                ad arcum
                  <emph type="italics"/>
                cb:
                  <emph.end type="italics"/>
                propterea quòd perpendiculum ex
                  <emph type="italics"/>
                c
                  <emph.end type="italics"/>
                &
                  <emph type="italics"/>
                e
                  <emph.end type="italics"/>
                  <lb/>
                æquali tempore recurrit in
                  <emph type="italics"/>
                b
                  <emph.end type="italics"/>
                per prop: 24. erit ut arcus
                  <lb/>
                  <emph type="italics"/>
                fb
                  <emph.end type="italics"/>
                ad arcum
                  <emph type="italics"/>
                db,
                  <emph.end type="italics"/>
                ita velocitas excurſus in
                  <emph type="italics"/>
                fb
                  <emph.end type="italics"/>
                ad velocita­
                  <lb/>
                tem excurſus in
                  <emph type="italics"/>
                db.
                  <emph.end type="italics"/>
                At verò ut idem arcus
                  <emph type="italics"/>
                fb
                  <emph.end type="italics"/>
                ad arcum
                  <lb/>
                  <emph type="italics"/>
                db,
                  <emph.end type="italics"/>
                ita violentia inclinationum in illis arcubus collecta:
                  <lb/>
                tollit autem violentia partem impulſus ſibi æqualem
                  <lb/>
                per poſit: 2. igitur ut arcus
                  <emph type="italics"/>
                fb
                  <emph.end type="italics"/>
                ad arcum
                  <emph type="italics"/>
                db,
                  <emph.end type="italics"/>
                ita ablatum
                  <lb/>
                ad ablatum, hoc eſt velocitatis decrementum, & velo­
                  <lb/>
                citas reliqua ad reliquam velocitatem habet autem ve­
                  <lb/>
                locitas motus eandem rationem, quam interualla. </s>
                <s id="N127CC">Quia
                  <lb/>
                ergo excurſus eandem rationem habent tum ad ſe, tum
                  <lb/>
                ad interualla, quam habent recurſus ad ſe, & ſua inter­
                  <lb/>
                ualla; fiunt autem recurſus eodem vel æquali tempo­
                  <lb/>
                re, erunt
                  <expan abbr="quoq́">quoque</expan>
                ; excurſus eodem vel æquali tempore, ac
                  <lb/>
                proinde inter ſe æquales. </s>
              </p>
            </subchap1>
            <subchap1 id="N127DD">
              <p id="N127DE" type="main">
                <s id="N127E0">
                  <emph type="center"/>
                Propoſitio XXVI.
                  <emph.end type="center"/>
                </s>
              </p>
              <p id="N127E7" type="main">
                <s id="N127E9">
                  <emph type="italics"/>
                Motus per arcus ſimiles inæqualium circulorum rationem ha­
                  <lb/>
                bent quam ſinus illorum arcuum.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p id="N127F2" type="main">
                <s id="N127F4">ASſumantur duo arcus, in circulo quidem maiori
                  <emph type="italics"/>
                bd.
                  <lb/>
                bf,
                  <emph.end type="italics"/>
                in circulo autem minori
                  <emph type="italics"/>
                ce.cg
                  <emph.end type="italics"/>
                inter ſe ſimiles: di­
                  <lb/>
                co motum perpendiculi ex
                  <emph type="italics"/>
                f
                  <emph.end type="italics"/>
                in
                  <emph type="italics"/>
                b
                  <emph.end type="italics"/>
                ad motum ex
                  <emph type="italics"/>
                g
                  <emph.end type="italics"/>
                in
                  <emph type="italics"/>
                c,
                  <emph.end type="italics"/>
                &
                  <lb/>
                motum ex
                  <emph type="italics"/>
                d
                  <emph.end type="italics"/>
                in
                  <emph type="italics"/>
                b
                  <emph.end type="italics"/>
                ad motum ex
                  <emph type="italics"/>
                e
                  <emph.end type="italics"/>
                in
                  <emph type="italics"/>
                c
                  <emph.end type="italics"/>
                eandem rationem
                  <lb/>
                habere quam ſinus illorum arcuum. </s>
                <s id="N1283B">angant enim </s>
              </p>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum