Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.001349">
                <pb pagenum="262" xlink:href="010/01/270.jpg"/>
                <arrow.to.target n="marg349"/>
                <lb/>
              quò magis comprimitur, ſcilicèt quò magis à circu­
                <lb/>
              lo recedit eius baſis, & ad figuram longiorem ellip­
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              ticam redigitur. </s>
              <s id="s.001350">Alio modo componi poſſunt tubuli
                <lb/>
              aerei, ſi nimirùm concipiatur inuolucrum factum ex
                <lb/>
              lamina tenuiſſima, quæ quidem paritèr flexibilis ſit,
                <lb/>
              & ad modum arcus reſilire valeat, hæc, inquam, mul­
                <lb/>
              tò magis comprimi poteſt, & ad minus ſpatium redi­
                <lb/>
              gi, quam ſimplex tubus paulò ante expoſitus, quią
                <lb/>
              nimirùm internus ambitus adhùc conſtringi, & immi­
                <lb/>
              nui poteſt, vt nimirùm perimeter baſis minor fiat, re­
                <lb/>
              petitis nimirum conuolutionibus prædicti inuolucri,
                <lb/>
              & præterea, non minùs, quam antea poteſt laterali­
                <lb/>
              tèr comprimi vt nimirùm baſis non circularis, ſed el­
                <lb/>
              liptica fiat, & ſic duplicata cauſa reſtrictionis mul­
                <lb/>
              tò magis minui poterit moles aeris conſtipati con­
                <lb/>
              denſatique; Tertiò ſi ſupponantur tubuli aerei com­
                <lb/>
              poſiti ex tenuiſſima virga ramoſa, vel faſcia obliquè
                <lb/>
              reuoluta, & in ſe ipſam circumducta ad modum ſpi­
                <lb/>
              ræ, relictis nimirùm aliquibus interſtitijs inter tranſ­
                <lb/>
              uerſales ſpiras, tunc quidem multò faciliùs tubulus
                <lb/>
              prædictus conſtipari poterit tribus nominibus, &
                <lb/>
              quia ambitus internus imminuitur, pariterque decur­
                <lb/>
              tatur altitudo fiſtulæ, & tandem ad figuram compreſ­
                <lb/>
              ſam ellipticam redigitur, quare ſi ſolida materia præ­
                <lb/>
              dicti tubuli, ſeù ſpiræ ſit dura quidem, ſed flexibilis,
                <lb/>
              & apta ad reſiliendum vt machina, vel arcus chali­
                <lb/>
              beus, eique naturalitèr competat ampla, & dilatatą
                <lb/>
              figura, poterunt profectò
                <expan abbr="cõſtringi">conſtringi</expan>
              ab externa vi, at
                <lb/>
              ceſſante violentia
                <expan abbr="ſpõte">ſponte</expan>
              ſua reſilient, ad prioremque </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>