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

Page concordance

< >
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb pagenum="167" xlink:href="010/01/175.jpg"/>
            <p type="main">
              <s id="s.000848">
                <arrow.to.target n="marg214"/>
                <lb/>
              ſcet in fundo ipſius aquæ, quia nimirum locum non
                <lb/>
              habet libræ, aut ſiphonis operatio. </s>
              <s id="s.000849">Hoc autem ſic
                <lb/>
              perſpicuum fiet: ſupponamus baſim lignei priſmatis
                <lb/>
              BG perfectè, & exquiſitè tangere fundum vaſis BC,
                <lb/>
              ſcilicèt ſi ambę ſuperficies fuerint explanatæ, & læ­
                <lb/>
              uigatæ, tunc profectò aqua FC, licèt grauior ſit ipſo
                <lb/>
              ligno minimè excurrere poterit deorsùm cùm noņ
                <lb/>
              adſit aditus inter ligni baſim BG, &
                <expan abbr="fundũ">fundum</expan>
              putei: in­
                <lb/>
              nititur igitur atque ſuſtentatur maius pondus aquę
                <lb/>
              FC à ſoliditate fundi GC eiuſdem putei, quare ne­
                <lb/>
              ceſsè eſt vt
                <expan abbr="eadẽ">eadem</expan>
              aqua collateralis FC omninò quie­
                <lb/>
              ſcat, & proindè lignum EG non aſcendet ſursùm, nec
                <lb/>
              expelletur ab aqua collaterali quieſcente, quaprop­
                <lb/>
              ter habebimus libram BC non quidem
                <expan abbr="conuertibilẽ">conuertibilem</expan>
                <lb/>
              circa centrum G, ſed ſtabilem, & firmam, cum in ea
                <lb/>
              minimè contrarij motus
                <expan abbr="deſcẽſus">deſcenſus</expan>
              partis GC, &
                <expan abbr="aſcẽ-ſus">aſcen­
                  <lb/>
                ſus</expan>
              alterius radij BG fieri poſſint ſimùl, & ſemel, vn­
                <lb/>
              de mirum non eſt lignum GE è fundo vaſis non
                <expan abbr="aſcẽ-dere">aſcen­
                  <lb/>
                dere</expan>
              . </s>
            </p>
            <p type="margin">
              <s id="s.000850">
                <margin.target id="marg214"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
                <lb/>
              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="main">
              <s id="s.000851">
                <emph type="center"/>
              PROP. LXXXI.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000852">
                <emph type="center"/>
                <emph type="italics"/>
              Vis motiua eleuans lignum in aqua eſt maius pondus colla­
                <lb/>
              teralis aquæ, quæ deſcendere posſit, & præterea mo­
                <lb/>
              tu reflexo infimam ligni baſim ſursùm
                <lb/>
              impellat.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000853">PRæterea dico, quòd non ſufficit vt aqua collate­
                <lb/>
              ralis FC ſolummodò moueri deorsùm poſſit,
                <lb/>
              ſed oportet prętere a vt reflectatur ſursùm infrà
                <expan abbr="lignũ">lignum</expan>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>