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

Page concordance

< >
Scan Original
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000985">
                <pb pagenum="192" xlink:href="010/01/200.jpg"/>
                <arrow.to.target n="marg252"/>
                <lb/>
              mentis raritatis eiuſdem corporis. </s>
            </p>
            <p type="margin">
              <s id="s.000986">
                <margin.target id="marg249"/>
              Intenſiuè
                <lb/>
              verò rarefa­
                <lb/>
              ciendo id in
                <lb/>
              corpus.</s>
            </p>
            <p type="margin">
              <s id="s.000987">
                <margin.target id="marg250"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
                <lb/>
              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="margin">
              <s id="s.000988">
                <margin.target id="marg251"/>
              Incrementa
                <lb/>
                <expan abbr="leuitatũ">leuitatum</expan>
              pro­
                <lb/>
              portionalia
                <lb/>
                <expan abbr="sũt">sunt</expan>
                <expan abbr="incremẽ-tis">incremen­
                  <lb/>
                tis</expan>
              raritatum
                <lb/>
              eiuſdem cor­
                <lb/>
              poris
                <expan abbr="eius-dẽque">eius­
                  <lb/>
                demque</expan>
              molis,
                <lb/>
              &
                <expan abbr="mẽsuran-tur">mensuran­
                  <lb/>
                tur</expan>
              à vi
                <expan abbr="põderum">ponde­
                  <lb/>
                rum</expan>
                <expan abbr="prohibantiũ">prohi­
                  <lb/>
                bentium</expan>
              eleua­
                <lb/>
              tiones.</s>
            </p>
            <p type="margin">
              <s id="s.000989">
                <margin.target id="marg252"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
                <lb/>
              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="main">
              <s id="s.000990">Hinc inferri licet, quòd ſi raritas non eſt cauſa ef­
                <lb/>
              fectiua, motus ſursùm, ſeù leuitatis, requiritur
                <expan abbr="ſaltẽ">ſaltem</expan>
                <lb/>
              raritas tamquam affectio neceſſaria, ſine qua leuitas
                <lb/>
                <arrow.to.target n="marg253"/>
                <lb/>
              minimè augeri poteſt, ſed oportet vt raritates in ali­
                <lb/>
              quo medio fluido conſiderentur, non autem abſolu­
                <lb/>
              tè, & in vacuo. </s>
            </p>
            <p type="margin">
              <s id="s.000991">
                <margin.target id="marg253"/>
              Si raritas
                <expan abbr="">non</expan>
                <lb/>
              eſt causa aſ­
                <lb/>
              cenſus
                <expan abbr="leuiũ">leuium</expan>
              ,
                <lb/>
              requiritur
                <lb/>
                <expan abbr="tamẽ">tamen</expan>
              neceſ­
                <lb/>
              ſariò</s>
            </p>
            <p type="main">
              <s id="s.000992">
                <emph type="center"/>
              PROP. XCIII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000993">
                <emph type="center"/>
                <emph type="italics"/>
              Reperire modò poſſumus corpus, quod in dato fluido aſcendat
                <lb/>
              tanta vi ſursùm, quæ ſuperet quamcumque finitam
                <lb/>
              vim.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000994">SIt vas ABC
                <expan abbr="repleaturq;">repleaturque</expan>
              flui­
                <lb/>
                <figure id="id.010.01.200.1.jpg" xlink:href="010/01/200/1.jpg"/>
                <lb/>
              do M quod ſit aqua, vel hy­
                <lb/>
              drargyrum, & ſit quælibet va­
                <lb/>
              ſta vis motiua R. debet reperiri
                <lb/>
              corpus, quod in prædicto fluido
                <lb/>
              innatet, atque ab eius
                <expan abbr="fũdo">fundo</expan>
              ſur­
                <lb/>
              sum aſcendat tanta vi, & energia
                <lb/>
              vt ſuperet vim datam R. ſuma­
                <lb/>
              tur cylindrus DE cuiuſcumque
                <lb/>
              ſolidæ materiei conſiſtentiſque,
                <lb/>
              earum tamen, quæ in prædicto fluido M innatant,
                <lb/>
              et vis qua corpus DE aſcendit è fundo fluidi M ſit S:
                <lb/>
              poſtea (ex duabus præcedentibus propoſitionibus)
                <lb/>
              reperiatur cylindrus excauatus FG, cuius externą
                <lb/>
              figura ſit æqualis, & ſimilis ipſi DE, itaut raritas ab­
                <lb/>
              ſoluta ipſius FG ad
                <expan abbr="raritatẽ">raritatem</expan>
              alterius DE
                <expan abbr="maiorẽ">maiorem</expan>
              pro-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>