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.000466">
                <pb pagenum="95" xlink:href="010/01/103.jpg"/>
                <arrow.to.target n="marg111"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000467">
                <margin.target id="marg111"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
                <lb/>
              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="main">
              <s id="s.000468">
                <emph type="center"/>
              PROP. XLII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000469">
                <emph type="center"/>
                <emph type="italics"/>
              Et primò oſtendemus, quòd quodlibet corpus à principio in­
                <lb/>
              trinſeco, & naturali ſponte translatum faciliùs, &
                <lb/>
              celeriùs mouebitur in fluido rariori, & tenuio­
                <lb/>
              ri, quàm in medio fluido craſſo, &
                <lb/>
              tenaciori.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000470">SInt duo vaſa GHIK, alterum KILM,
                <expan abbr="primũ">primum</expan>
              aqua
                <lb/>
              repleatur, ſecundum verò hydrargyro, immer­
                <lb/>
              gatur verò eadem pila lignea A in vtroque fluido, in­
                <lb/>
              telliganturque duæ moles ſpatiales ex prædictis flui­
                <lb/>
              dis B, & C, quæ æquales ſint ipſi A, eique
                <expan abbr="ſuperincũ-bant">ſuperincun­
                  <lb/>
                bant</expan>
              , patet ergò quòd mercurij moles C grauior re­
                <lb/>
              ſiſtentior, denſior, atque compactior eſt, quàm ſit
                <lb/>
                <figure id="id.010.01.103.1.jpg" xlink:href="010/01/103/1.jpg" number="40"/>
                <lb/>
              moles aquę B. præterea pila lignea
                <lb/>
              A nullo pacto aſcendere ſursùm po­
                <lb/>
              teſt, niſi aquam B, ab eius loco ex­
                <lb/>
              pellat vt ei locum cedat, atque mo­
                <lb/>
              les ipſius ligni A
                <expan abbr="trãsferatur">transferatur</expan>
              ad oc­
                <lb/>
              cupandum ſpatium ei æquale B, &
                <lb/>
              hoc ſemper contingit, vbique enim
                <lb/>
              in
                <expan abbr="aſcẽſu">aſcenſu</expan>
              cogitur continuato niſu
                <lb/>
              ſursùm impellere incumbentem a­
                <lb/>
              quæ molem ei æqualem, tenacita­
                <lb/>
              temque eius penetrare, ponatur iam gradus natura­
                <lb/>
              lis impetus leuitatis ipſius ligni eſſe D, quia verò cor­
                <lb/>
              pus motiuum A impetu D affectum impellit corpus
                <lb/>
              B fluidum, quod in quiete conſtitutum ſua naturali </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>