Fabri, Honoré, Tractatus physicus de motu locali, 1646

Page concordance

< >
Scan Original
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
< >
page |< < of 491 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N22A20">
            <p id="N24844" type="main">
              <s id="N24863">
                <pb pagenum="329" xlink:href="026/01/363.jpg"/>
              æqualem minus vno digito; </s>
              <s id="N2486E">ſubereus verò minus 4/9 arcus quadrantis; </s>
              <s id="N24872">
                <expan abbr="ſã-buceus">ſam­
                  <lb/>
                buceus</expan>
              minus 6/7 cereus minus tribus digitis; </s>
              <s id="N2487B">addit præterea
                <expan abbr="plumbeũ">plumbeum</expan>
              in
                <lb/>
              perpendiculo conficere 48. pedes tempore duorum ſecundorum, cereum
                <lb/>
              paulò maiore tempore; </s>
              <s id="N24887">quod tamen percipi non poteſt; </s>
              <s id="N2488B">ſubereum in eo­
                <lb/>
              dem ſpatio percurrendo ponere tria ſecunda medullarum 5. veſicam piſ­
                <lb/>
              cis inflatam 8. ſed hæc accuratè obſeruari non poſſunt; </s>
              <s id="N24893">ſi enim dicam
                <lb/>
              ſupereſſe, vel deeſſe aliquid, vel ſpatij, vel temporis, quod tamen ſenſu
                <lb/>
              minimè percipiatur; quis eſt qui contrarium probare poſſit. </s>
            </p>
            <p id="N2489B" type="main">
              <s id="N2489D">
                <emph type="center"/>
                <emph type="italics"/>
              Scholium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N248A9" type="main">
              <s id="N248AB">Obſeruabis primò non eſſe omittendum, quod habet Galileus in dia­
                <lb/>
              logis, & facilè ex dictis colligi poteſt, ſcilicet pendula diuerſæ longitu­
                <lb/>
              dini sita poſſe componi, vt vnum vnicam vibrationem efficiat, dum aliud
                <lb/>
              percurrit 2. vel 3. &c. </s>
              <s id="N248B4">atque ita haberi poſſe quemdam oculorum quaſi
                <lb/>
              concentum non ſonorum ſed motuum, v.g. ſi ſit alter funis longus 4. pe­
                <lb/>
              des; </s>
              <s id="N248BE">alter verò vnum, pendulum ex illo duas percurret; </s>
              <s id="N248C2">quia numeri
                <lb/>
              vibrationum ſunt, vt tempora; </s>
              <s id="N248C8">hæc verò ſubduplicata longitudinum; </s>
              <s id="N248CC">hîc
                <lb/>
              autem vides quadam ſpeciem diapaſon, cuius proportio in his numeris
                <lb/>
              poſita eſt 1/2; </s>
              <s id="N248D4">ſi vero aliud funependulum ſit longum 9. pedes, conficiet
                <lb/>
              & alterum vnum hoc eodem tempore tres vibrationes; </s>
              <s id="N248DA">ſi ſit aliud, 16.
                <lb/>
              pedes longum, & alterum vnum; </s>
              <s id="N248E0">hec eodem tempore conficiet 4. vibra­
                <lb/>
              tiones, atque ita deinceps poteris habere quamlibet proportionem in
                <lb/>
              numeris vibrationum ex ipſa combinationum regula; ſed profectò non
                <lb/>
              magnam voluptatem ex hac quaſi oculorum muſicâ percipies, ſaltem
                <lb/>
              ego modicam percipere potui. </s>
            </p>
            <p id="N248EC" type="main">
              <s id="N248EE">Obſeruabis ſecundò, hactenus actum eſſe à nobis de primo funepen­
                <lb/>
              dulorum genere ſatis longa tractatione; iam ergo ſupereſt, vt de aliis
                <lb/>
              agamus. </s>
            </p>
            <p id="N248F6" type="main">
              <s id="N248F8">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              34.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N24904" type="main">
              <s id="N24906">
                <emph type="italics"/>
              Pondus pendulum contorto fune gyros agit reciprocos in plano horizontali
                <emph.end type="italics"/>
              ; </s>
              <s id="N2490F">
                <lb/>
              ratio petitur tantùm ex compreſſione intorti funis, qui dum ſe ſe redu­
                <lb/>
              cit ad priſtinum ſtatum, pendulum pondus in gyros agit; </s>
              <s id="N24916">cum verò acce­
                <lb/>
              leretur motus, & nouus ſemper accedat impetus, pendulum ipſum funi
                <lb/>
              etiam priſtino ſtatui reſtituto quaſi primam gratiam refert, cùm impe­
                <lb/>
              tum in eum refundat; </s>
              <s id="N24920">ſi enim funis ſolus adeſſet nullo pendulo pondere
                <lb/>
              tenſus; </s>
              <s id="N24926">haud dubiè ſtatim quieſceret, vbi ſublata eſſet compreſſio; </s>
              <s id="N2492A">at verò
                <lb/>
              quia impetus ponderi pendulo impreſſus adhuc durat funem ipſum in
                <lb/>
              contrariam partem intorquet; donec tandem poſt multos gyros repeti­
                <lb/>
              tos pendulum pondus quieſcat. </s>
            </p>
            <p id="N24934" type="main">
              <s id="N24936">
                <emph type="center"/>
                <emph type="italics"/>
              Scholium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N24942" type="main">
              <s id="N24944">Obſeruabis plures eſſe huius funependuli motus affectiones, quæ certè
                <lb/>
              demonſtrari poſſunt; quia tamen cauſa huius, qui ſequitur ex compreſ­
                <lb/>
              ſione eſt noua potentia motrix, quàm mediam vocamus, cuius mirifica
                <lb/>
              vis vix cognoſci poteſt, niſi probè cognoſcatur ratio denſi, rari, &c. </s>
              <s id="N2494E">tra-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum