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.000511">
                <pb pagenum="104" xlink:href="010/01/112.jpg"/>
                <arrow.to.target n="marg124"/>
                <lb/>
                <figure id="id.010.01.112.1.jpg" xlink:href="010/01/112/1.jpg" number="42"/>
                <lb/>
              vt terminus eius A deſcendat
                <lb/>
              deorsùm percurrendo arcum
                <lb/>
              AI neceſsè eſt vt eius oppoſi­
                <lb/>
              tus terminus B motu contrario
                <lb/>
              ſursùm aſcendat percurrendo
                <lb/>
              arcum BH æqualem contrapo­
                <lb/>
              ſito AI. </s>
              <s id="s.000512">Et
                <expan abbr="quotieſcumq;">quotieſcumque</expan>
              præ­
                <lb/>
              dicti motus
                <expan abbr="cõtrarij">contrarij</expan>
              ſimul fie­
                <lb/>
              ri nequeunt, tunc neceſsè eſt
                <lb/>
              vt libra, vel rota quieſcatiņ
                <lb/>
              eodem ſitu, nec agitetur. </s>
            </p>
            <p type="margin">
              <s id="s.000513">
                <margin.target id="marg124"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
                <lb/>
              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="main">
              <s id="s.000514">
                <emph type="center"/>
              PROP. XLVI.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000515">
                <emph type="center"/>
                <emph type="italics"/>
              Si eidem libræ termino applicentur potentiæ ad oppoſitas
                <lb/>
              partes
                <expan abbr="trahẽtes">trahentes</expan>
              mutuo
                <expan abbr="ſeimpediẽt">ſeimpedient</expan>
              , & potentia maior
                <lb/>
              præualebit, libram
                <expan abbr="flectẽdo">flectendo</expan>
              vi æquali dif­
                <lb/>
              ferentiæ potentiarum.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000516">APponatur poſtea pondus DE termino libræ A;
                <lb/>
              hoc profectò vim efficit, conaturque traherę
                <lb/>
              terminum libræ A per directionem AD versùs cen­
                <lb/>
              trum telluris, at quia ſemidiameter AC in
                <expan abbr="cẽtro">centro</expan>
              librę
                <lb/>
              figitur immobiliter, hinc conſequetur reuolutio librę
                <lb/>
              fereturque terminus A non per lineam rectam AD,
                <lb/>
              ſed per arcum AI excurrendo integrum
                <expan abbr="quadrantẽ">quadrantem</expan>
              ,
                <lb/>
              & quia libra AB ſupponitur continua, & rigida
                <expan abbr="eodẽ">eodem</expan>
                <lb/>
              tempore quo terminus A arcum AI pertranſit oppo­
                <lb/>
              ſitus eius terminus B deſcribet contrapoſitum arcum
                <lb/>
              BH. </s>
              <s id="s.000517">Modò motum eiuſdem libræ, & deſcenſum pon-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>