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

List of thumbnails

< >
481
481
482
482
483
483
484
484
485
485
486
486
487
487
488
488
489
489
490
490
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002511">
                <pb pagenum="476" xlink:href="010/01/484.jpg"/>
                <arrow.to.target n="marg650"/>
                <lb/>
              quibuslibet alijs figuris curuis
                <expan abbr="habẽtibus">habentibus</expan>
              baſes pla­
                <lb/>
              nas & æquales, dummodò moles eamdem propor­
                <lb/>
              tionem habeant, quam earum altitudines, vt ſi vna
                <lb/>
              eſſet hemiſphærium, reliqua verò, ſemiſphæroidalem
                <lb/>
              figuram æmularetur; tunc quoque ſi materiæ fuerint
                <lb/>
              homogeneæ, & aqua leuiores, intra ipſam
                <expan abbr="aſcendũt">aſcendunt</expan>
                <lb/>
              velocitatibus, ferè in ſubduplicata proportione
                <expan abbr="al-titudinũ">al­
                  <lb/>
                titudinum</expan>
              earumdem vt facilè ex dictis colligi poteſt. </s>
            </p>
            <p type="margin">
              <s id="s.002512">
                <margin.target id="marg650"/>
              Cap. 11. gra­
                <lb/>
              uia in fluido
                <lb/>
              velocitati­
                <lb/>
              bus inæqua­
                <lb/>
              libus ferri
                <lb/>
              debere.</s>
            </p>
            <p type="main">
              <s id="s.002513">
                <emph type="center"/>
              PROP. CCXXXII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002514">
                <emph type="center"/>
                <emph type="italics"/>
              Si cylindri partim in aqua, partim in aere existentes ſursùm,
                <lb/>
              vel deorsùm excurrerint; prædictæ proportiones velocita­
                <lb/>
              tum valdè alterantur.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002515">ET hactenùs conſiderauimus aſcenſus, vel
                <expan abbr="deſcẽ-ſus">deſcen­
                  <lb/>
                ſus</expan>
              corporum dum eorum motus omninò fiunt
                <lb/>
              intra aquam, at quamprimùm ſupremam libellam at­
                <lb/>
              tingunt, tunc progreſſus velocitatum valdè alteran­
                <lb/>
              tur, debilitanturque; & ratio eſt, quia quando aliqua
                <lb/>
              pars ligni ſupra aquę libellam eminet tunc non
                <expan abbr="cõpa-rantur">compa­
                  <lb/>
                rantur</expan>
              amplius inter ſe duæ moles æquales aquæ, &
                <lb/>
              ligni, nec perſeuerat ſipho integer vt priùs, ſed
                <expan abbr="aliã">aliam</expan>
                <lb/>
              longè diuerſam naturam ſortitur, illius, inquam, cu­
                <lb/>
              ius ex vna parte fluidum eminens continenter
                <expan abbr="deſcẽ-dit">deſcen­
                  <lb/>
                dit</expan>
              quouſque ad æquilibrium perducatur, & in hoc
                <lb/>
              caſu centrum communis grauitatis ſemper magis, ac
                <lb/>
              magis ad libræ fulcimentum accedit, motu illo curuo,
                <lb/>
                <arrow.to.target n="marg651"/>
                <lb/>
              vt dictum eſt; & tunc propemodum ceſſat motus
                <expan abbr="">cum</expan>
                <lb/>
              centrum communis grauitatis ligni, & fluidi non am­
                <lb/>
              plius deſcendere valet, quia nempè ad ipſum fulci­
                <lb/>
              mentum libræ perductum eſt. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>