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.000287">
                <pb pagenum="62" xlink:href="010/01/070.jpg"/>
                <arrow.to.target n="marg67"/>
                <lb/>
              pè violentèr tendinibus articulos colligantibus, &
                <lb/>
              tandem fieri poteſt contuſio, & diffractio partium̨
                <lb/>
              ſolidarum. </s>
              <s id="s.000288">Et hiſce omnibus modis continuitatis
                <lb/>
              diuiſio in animali efficitur, à quà demum diuiſionę
                <lb/>
              paſſionem dolorificam exoriri vulgò credunt. </s>
            </p>
            <p type="margin">
              <s id="s.000289">
                <margin.target id="marg67"/>
              Cap. 3. flui­
                <lb/>
              dum in ſuo
                <lb/>
              toto quie­
                <lb/>
              ſcens pon­
                <lb/>
              derat.</s>
            </p>
            <p type="main">
              <s id="s.000290">Modò oſtendendum eſt, quòd diuiſio continui, &
                <lb/>
              dolor procreari poteſt ab aliquo ſingulari pondere,
                <lb/>
              quòd ſi pondus poſtea comprimens augeatur, mul­
                <lb/>
              tipliceturque, non proindè ſemper, & vniuersè ma­
                <lb/>
              ior, ſed minor, immò nulla ſciſſura, vel contuſio,
                <lb/>
              aut fractio in animali ſub ſequi poteſt; quod quidem
                <lb/>
              licèt videatur paradoxum, poterit tamen facili ne­
                <lb/>
              gotio demonſtrari. </s>
            </p>
            <p type="main">
              <s id="s.000291">
                <emph type="center"/>
              PROP. XXVI.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000292">
                <emph type="center"/>
                <emph type="italics"/>
              Lamina dura, & flexibilis, quæ à pondere incumbente
                <lb/>
              flectitur, poterit à potentia duplicata dirigi.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000293">SIt lamina chalybea AB parieti RS infixa,
                <expan abbr="eiq;">eique</expan>
              in­
                <lb/>
              cumbat pondus C à quo lamina ipſa deorsùm̨
                <lb/>
              impulſa curuitatem acquirat,
                <lb/>
                <figure id="id.010.01.070.1.jpg" xlink:href="010/01/070/1.jpg" number="29"/>
                <lb/>
              inflectaturque: adueniat po­
                <lb/>
              ſtea vis motiua H æqualis pon­
                <lb/>
              deri C, quæ contrario niſu ſur­
                <lb/>
              sùm impellat eamdem
                <expan abbr="laminã">laminam</expan>
              :
                <lb/>
              manifeſtum eſt, quòd à duplici
                <lb/>
              vi C, & H, non augetur curui­
                <lb/>
              tas ipſius laminæ, ſed ea potiùs dirigitur, quia ni­
                <lb/>
              mirùm duæ vires contrarię æqualibus
                <expan abbr="momẽtis">momentis</expan>
              ope-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>