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

Page concordance

< >
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002031">
                <pb pagenum="384" xlink:href="010/01/392.jpg"/>
                <arrow.to.target n="marg515"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.002032">
                <margin.target id="marg515"/>
              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.002033">
                <emph type="center"/>
              PROP. CLXXXVIII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002034">
                <emph type="center"/>
                <emph type="italics"/>
              In fiſtulis strictioribus altiùs aqua eleuari debet, quàm in
                <lb/>
              latioribus, & in fistulis æqualibus, ſed in æqualiter ad
                <lb/>
              aquæ ſuperficiem inclinatis aqua ad eamdem
                <lb/>
              altitudinem eleuatur.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002035">ET primo loco percipitur quare in fiſtulis latio­
                <lb/>
              ribus aqua ad minorem altitudinem eleuatur,
                <lb/>
              quàm in ſubtiliſſimis, & anguſtiſſimis canalibus: &
                <lb/>
              eſt, quia adhærentia, & connexio aquæ parietibus
                <lb/>
              internis canalium maiorem proportionem ad molem
                <lb/>
              aquæ inſinuatæ extenſiuè, & intenſiuè in canaliculis
                <lb/>
              ſubtiliſſimis, habet quàm in amplis, & capacioribus.
                <lb/>
              </s>
              <s id="s.002036">Et quoad extenſionem pertinet, quia vis adhæſionis
                <lb/>
              menſuratur à contactibus, & ideò à ſuperficie inter­
                <lb/>
              na canaliculorum, è contrà reſiſtentia menſuratur à
                <lb/>
              pondere cylindri aquei contenti in ijſdem canalicu­
                <lb/>
              lis, eſtque proportio cylindrorum aqueorum
                <expan abbr="eiuſdẽ">eiuſdem</expan>
                <lb/>
              altitudiais duplicata eius rationis, quam habent eo­
                <lb/>
              rum perimetri | interni, igitur quanto magis creſcit
                <lb/>
              interna canalis amplitudo, tantò magis minuitur ad­
                <lb/>
              hæſio, & augetur reſiſtentia ponderis ipſius aquæ
                <expan abbr="cõ-tentæ">con­
                  <lb/>
                tentæ</expan>
              . </s>
              <s id="s.002037">Imminuitur poſteà gradus intenſiuus internæ
                <lb/>
                <arrow.to.target n="marg516"/>
                <lb/>
              adhæſionis, proptereà quod, vt dictum eſt ſupra,
                <expan abbr="">non</expan>
                <lb/>
              eſt æquè valida facultas, & energia adhæſionis aquę,
                <lb/>
              & connexionis | cum parietibus internis |in | vniuerſo
                <lb/>
              illo argine montuoſo, ſed eſt minus efficax, quantò
                <lb/>
              magis ab internis parietibus remouetur. </s>
              <s id="s.002038">Modò iņ </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>