Monantheuil, Henri de, Aristotelis Mechanica, 1599

List of thumbnails

< >
11
11
12
12
13
13
14
14
15
15
16
16
17
17
18
18
19
19
20
20
< >
page |< < of 252 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <p type="main">
                <s id="id.001337">
                  <pb xlink:href="035/01/125.jpg" pagenum="85"/>
                  <emph type="italics"/>
                dicularis. </s>
                <s id="id.001338">Nauis vero idem interuallum conficiet quod ſcalmus B.
                  <lb/>
                </s>
                <s id="id.001339">Dico igitur rectam A E maiorem eſſe recta B D. </s>
                <s id="id.001340">Secet enim re­
                  <lb/>
                cta A C rectam E F in G. </s>
                <s id="id.001341">Quia igitur A G E, & B G D
                  <lb/>
                triangula ſunt æquiangula, erit ſicut A G ad B G: ſic A E
                  <lb/>
                ad B D prop. 4. lib. 6. </s>
                <s>Maior eſt autem A G ipſa B G, ax. 9.
                  <lb/>
                </s>
                <s id="id.001342">Erit igitur A E maior quam B D. </s>
                <s id="id.001343">Itaque caput remi A maius
                  <lb/>
                percurrit ſpatium: quam nauis. </s>
                <s id="id.001344">quod erat demonſtrandum.
                  <emph.end type="italics"/>
                </s>
              </p>
              <figure id="id.035.01.125.1.jpg" xlink:href="035/01/125/1.jpg" number="39"/>
              <p type="main">
                <s id="id.001345">
                  <emph type="italics"/>
                Quod ſi per punctum B rectam duca­
                  <lb/>
                mus H K æqualem remo, & ad rectos
                  <lb/>
                cum recta B D, & inſuper ſecantem A
                  <emph.end type="italics"/>
                  <lb/>
                3
                  <emph type="italics"/>
                in puncto I, manifeſtè intelligemus
                  <lb/>
                ipſam rectam A E ( quæ eſt totus motus
                  <lb/>
                capitis remi in vna remigatione ) conſtare
                  <lb/>
                ex A I, & I E, quarum prior reſpon­
                  <lb/>
                det curuæ A H deſcriptæ per capitis remi
                  <lb/>
                motum proprium: poſterior vero æqualis
                  <lb/>
                eſt rectæ B D ( ſunt enim latera parallelo­
                  <lb/>
                grammi oppoſita prop. 34. lib. 1.) quæ motu
                  <lb/>
                nauis decurſa eſt.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.001346">
                  <emph type="italics"/>
                Et quia Nonius ſine demonſtratione aſ­
                  <lb/>
                ſumit nauim tantùm decurrere, quantùm
                  <lb/>
                ſcalmus, id quoque demonstremus. </s>
                <s id="id.001347">quia ad
                  <lb/>
                ſequentia etiam vtile eſt.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.001348">
                  <emph type="italics"/>
                Ante remigationem remi existentis in ſcalmo B ſit nauis prora C
                  <lb/>
                poſt remigationem ſit B
                  <emph.end type="italics"/>
                  <lb/>
                  <figure id="id.035.01.125.2.jpg" xlink:href="035/01/125/2.jpg" number="40"/>
                  <lb/>
                  <emph type="italics"/>
                in E & prora in D ſic­
                  <lb/>
                que C D erit nauis pro­
                  <lb/>
                motio, & B E ſcalmi.
                  <lb/>
                </s>
                <s id="id.001349">Dico igitur C D & B E æquales, quia reliquæ ſunt ex æqualibus
                  <lb/>
                B C, E D dempto communi E C axio. 3. </s>
                <s id="id.001350">Ergo nauis tantùm de­
                  <lb/>
                currit quantùm ſcalmus.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="head">
                <s id="id.001351">Propoſitio ſecunda. </s>
              </p>
              <p type="main">
                <s id="id.001352">
                  <emph type="italics"/>
                Capite remi motu proprio, & naui æqualiter motis, palmula im­
                  <lb/>
                mota veluti centrum manet: & palmula immota, caput remi &
                  <lb/>
                nauis æqualiter mota ſunt.
                  <emph.end type="italics"/>
                </s>
              </p>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>