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

Page concordance

< >
Scan Original
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000953">
                <pb pagenum="187" xlink:href="010/01/195.jpg"/>
                <arrow.to.target n="marg240"/>
                <lb/>
              v. g. & altitudo columnæ CB decies maior radio ba­
                <lb/>
              ſis, tunc totalis reſiſtentia prædictæ contiguitatis, ſeù
                <lb/>
              repugnantia ad vacuuum admittendum, æqualis erit
                <lb/>
              potentiæ ponderis triginta librarum. </s>
              <s id="s.000954">Quaproptèr
                <lb/>
              conſtat, quòd vis, quæ requiritur ad reſiſtentiam
                <expan abbr="cõ-tactus">con­
                  <lb/>
                tactus</expan>
              directè ſuperandam, licèt maior vt plurimùm
                <lb/>
              ſit, quàm ea quæ actu exercetur, nihilominùs finita,
                <lb/>
              & determinata eſt, & facili negotio indagari, men­
                <lb/>
              ſurarique poteſt. </s>
              <s id="s.000955">His declaratis pergo ad
                <expan abbr="demõſtrã-dum">demonſtran­
                  <lb/>
                dum</expan>
              , quòd. </s>
            </p>
            <p type="margin">
              <s id="s.000956">
                <margin.target id="marg238"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
                <lb/>
              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="margin">
              <s id="s.000957">
                <margin.target id="marg239"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
                <lb/>
              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="margin">
              <s id="s.000958">
                <margin.target id="marg240"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
                <lb/>
              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="main">
              <s id="s.000959">
                <emph type="center"/>
              PROP. XCI.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000960">
                <emph type="center"/>
                <emph type="italics"/>
              Dato quolibet corpore duro homogeneo, aliudilli æquale repe­
                <lb/>
              riri poteſt, cuius raritas abſoluta ad illius raritatem
                <lb/>
              maiorem proportionem qualibet dataratione
                <lb/>
              maioris inæqualitatis habeat.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000961">SIt cylindrus ſolidus ABC, &
                <lb/>
                <figure id="id.010.01.195.1.jpg" xlink:href="010/01/195/1.jpg" number="72"/>
                <lb/>
              quælibet data ratio maioris
                <lb/>
              inæqualitatis T ad V, & fiat RS
                <lb/>
              maior quàm T. reperiri debetcy­
                <lb/>
              linder æqualis ABC cuius rari­
                <lb/>
              tas abſoluta ad raritatem ABC
                <lb/>
              ſit vt RS ad V. </s>
              <s id="s.000962">Secetur portio cy­
                <lb/>
              lindrica AD, & RX proximè maior quam V, & fiat
                <lb/>
              cylindrus ſolidus EF æqualis AD, cuiuſ raritas in
                <lb/>
              ſpecie ad raritatem ipſius AC ſit vt RX ad V; poſtea
                <lb/>
              fiat alius cylindrus, ſiue fluidus, ſiue ſolidus FG æ­
                <lb/>
              qualis DB, ita vt illius raritas in ſpecie ad raritatem </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum