Fabri, Honoré, Dialogi physici in quibus de motu terrae disputatur, 1665

Table of figures

< >
< >
page |< < of 248 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.001843">
                <pb pagenum="161" xlink:href="025/01/165.jpg"/>
              angulus, ſeu conus obtuſior eſt, vis preſſionis major eſt, & hæc eò minor,
                <lb/>
              quò ille acutior; Sit autem centrum ſuperficiei FG canaliculo contentæ,
                <lb/>
              in quod aëris prementis conus incumbat, vides, ni fallor, quàm acu­
                <lb/>
              tus angulus futurus ſit; ac proinde vis preſſionis minor; quid mi­
                <lb/>
              rum ergo, ſi preſſio in AB prævaleat, ac proinde aqua ſupra FG aſ­
                <lb/>
              ſurgat? </s>
            </p>
            <p type="main">
              <s id="s.001844">
                <emph type="italics"/>
              Auguſtin.
                <emph.end type="italics"/>
              </s>
              <s id="s.001845"> Quid verò fiet, ſi canaliculi ſegmentum ſũmpta FG, ſit minus
                <lb/>
              FE? an fortè aqua vi prædictæ preſſionis effluet per canaliculum? </s>
              <s id="s.001846">ſi hoc
                <lb/>
              fieret, perpetuum motum haberemus. </s>
            </p>
            <p type="main">
              <s id="s.001847">
                <emph type="italics"/>
              Antim.
                <emph.end type="italics"/>
              </s>
              <s id="s.001848"> Prævideram, te in hunc ſcopulum impacturum; nempe, in­
                <lb/>
              quis, ſi aqua per canaliculum majore vi preſſionis vigente in AB, aſſur­
                <lb/>
                <figure id="id.025.01.165.1.jpg" xlink:href="025/01/165/1.jpg" number="58"/>
                <lb/>
              git in DE, haud dubiè ſi reſcindatur ſegmen­
                <lb/>
              tum canaliculi ME, effluet per os ML, cum
                <lb/>
              eadem vis preſſionis aplicata ſit in in AB; ſed
                <lb/>
              reverà non effluit ex ML ; & hoc eſt alterum
                <lb/>
              experimentum; cùm tamen alioquin iuxta com­
                <lb/>
              munes Hydraulicæ regulas faciliùs ſit effluere
                <lb/>
              ex ML, quàm in DE attolli; ratio eſt, quia vt
                <lb/>
              in centrum baſis AB aëris preſſio incumbit,
                <lb/>
              ſecundùm angulum, ſeu conum maximè obtu­
                <lb/>
              ſum, ita in baſim DE, vel in baſim ML, reſecto
                <lb/>
              ſegmento canaliculi ME, ſecundùm æqualem
                <lb/>
              angulum incumbit; quid mirum ergo, ſi neutra preſſio prævaleat? </s>
              <s id="s.001849">At
                <lb/>
              verò ſi non reſcindatur ſegmentum ME, incumbit in centrum baſis
                <lb/>
              ML, ſecundùm angulum acutum, cujus baſis eſt DE, & latus recta ducta
                <lb/>
              à D, ad centrum ML. </s>
              <s id="s.001850">Vnde preſſio in AB omnino prævalet. </s>
            </p>
            <p type="main">
              <s id="s.001851">
                <emph type="italics"/>
              Chryſoc.
                <emph.end type="italics"/>
              </s>
              <s id="s.001852"> Sed infra, preſſio in AB ſemper major eſt preſſione in ML ;
                <lb/>
              etiam reſecto ſegmento ME; nempe vt aëris preſſio incumbit centro
                <lb/>
              baſis AB, idque in reliquis punctis ſecundùm æqualem preſſionis angu­
                <lb/>
              lum, ſeu conum, item in ſingula puncta baſis ML, ſecundùm æqualem
                <lb/>
              priori angulum, refecto ſcilicet ſegmento ME; igitur preſſiones ſunt,
                <lb/>
              vt baſes; initur baſis AB, quæ longè major eſt prævalet; igitur ſi tua
                <lb/>
              preſſionis ratio ſubſiſteret, aqua ex ML omnino efflueret; non effluit ta­
                <lb/>
              men, vt fateris vltrò. </s>
            </p>
            <p type="main">
              <s id="s.001853">
                <emph type="italics"/>
              Antim.
                <emph.end type="italics"/>
              </s>
              <s id="s.001854"> Acutè omnino paralogizas; vt enim gravitatio aquæ con­
                <lb/>
              tentæ in canali AC, exerit tantùm ſuam vim, attollendo cylindrum IG,
                <lb/>
              ad libellam vſque, ſecundùm cylindrum æqualem IG, vt ſupra oſten­
                <lb/>
              ſum eſt; ita vis preſſionis baſis AB exeritur, attollendo aquam per ca­
                <lb/>
              naliculum ſecundùm baſim æqualem ML, vbi autem aqua elevata eſt in
                <lb/>
              ML, æqualis incumbit preſſio vtrimque, ſcilicet in baſi ML, & ipſi æqua­
                <lb/>
              li aſſumptæ in AB; ſi verò aquæ ſuperficies ſupponatur in FG, haud
                <lb/>
              dubiè minor eſt preſſio in FG, quàm in ML ; igitur quàm in æquali
                <lb/>
              ML aſſumptæ in AB; igitur hæc prævalet; vnde aſſurgit aqua ex FG
                <lb/>
              in ML: cogita quæſo duci totidem cylindros parallelos deorſum præ­
                <lb/>
              ſciſa gravitatione, ex ſingulis punctis baſis AB, quibus totidem preſ-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum