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

Table of figures

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002038">
                <pb pagenum="385" xlink:href="010/01/393.jpg"/>
                <arrow.to.target n="marg517"/>
                <lb/>
              fiſtulis amplioribus aqua contenta versùs axim caui­
                <lb/>
              tatis eius magis recedit à ſuperficie interna fiſtulæ
                <lb/>
              dilatatæ, quàm in fiſtula ſtrictiori, & ideò in illa de­
                <lb/>
              biliùs aqua ſuſtinebitur ſuſpendeturque, & quantò
                <lb/>
              minor eſt vis ſuſtinens, & eleuans reſpectu ponderis
                <lb/>
              fluidi contenti, tantò debet imminui ſublimitas eius
                <lb/>
              eleuationis, vbi præcisè efficitur æquilibrium ſupe­
                <lb/>
              riùs expoſitum. </s>
            </p>
            <p type="margin">
              <s id="s.002039">
                <margin.target id="marg516"/>
              In fine prop.
                <lb/>
              </s>
              <s id="s.002040">182.</s>
            </p>
            <p type="margin">
              <s id="s.002041">
                <margin.target id="marg517"/>
              Cap. 8. cur
                <lb/>
              exiguæ aquę
                <lb/>
              guttæ ſupra
                <lb/>
                <expan abbr="libellã">libellam</expan>
              aquæ
                <lb/>
              aſcendunt.</s>
            </p>
            <p type="main">
              <s id="s.002042">Similitèr in eodem canaliculo ad horizontem in­
                <lb/>
              clinato longiori ſpatio eleuabitur aqua, quàm ſi per­
                <lb/>
              pendicularitèr horizonti inſiſteret, quia nimirùm ſu­
                <lb/>
              blimitas verticalis in
                <expan abbr="vtroq;">vtroque</expan>
              caſu eadem eſſe debet,
                <lb/>
              cùm in ſitu inclinato momentum aquę prementis
                <expan abbr="mẽ-ſuretur">men­
                  <lb/>
                ſuretur</expan>
              non ab vniuerſa longitudine, aut ponderę
                <lb/>
              abſoluto cylindri aquei ſubleuati, ſed ab eius verti­
                <lb/>
              cali eleuatione, & propterea
                <expan abbr="tantumdẽ">tantumdem</expan>
              præcisè im­
                <lb/>
              pelletur ab eadem cauſa eleuante non alterata, ſcili­
                <lb/>
              cèt à pondere abſoluto aquæ collateralis liberè pre­
                <lb/>
              mentis.
                <lb/>
                <arrow.to.target n="marg518"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.002043">
                <margin.target id="marg518"/>
              Quare præ­
                <lb/>
              dictæ opera­
                <lb/>
              tiones non
                <lb/>
              contingant
                <lb/>
              niſi fiſtulæ
                <lb/>
              ſint vtrinque
                <lb/>
              apertæ.</s>
            </p>
            <p type="main">
              <s id="s.002044">Et hæc omnia contingere debent quotieſcumque
                <lb/>
              canaliculus ſupernè non clauditur; Si enim obſtru­
                <lb/>
              ctus fuiſſet aer idem internè comprehenſus impediret
                <lb/>
              aquę aſcenſum, quia non poſſet aqua inſinuari abſque
                <lb/>
              eo quod contentus aer ſtringeretur condenſaretur­
                <lb/>
              que, cumque aer condenſari
                <expan abbr="cõſtiparique">conſtiparique</expan>
              nequeat,
                <lb/>
              niſi à noua cauſa violentèr eum condenſante, cui aer
                <lb/>
              ſua vi elaſtica reſiſtit, igitur ſi aqua intra prædictam
                <lb/>
              fiſtulam ingrederetur, conſtringere
                <expan abbr="aerẽ">aerem</expan>
              internum̨
                <lb/>
              deberet, & propterea idem aer ſua vi elaſtica impe­
                <lb/>
              dict
                <expan abbr="prædictũ">prædictum</expan>
              ingreſſum. </s>
            </p>
          </chap>
        </body>
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