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

Page concordance

< >
Scan Original
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000470">
                <pb pagenum="96" xlink:href="010/01/104.jpg"/>
                <arrow.to.target n="marg112"/>
                <lb/>
              inertia reſiſtit impulſui impellentis corporis leuis A;
                <lb/>
              ergò ex
                <expan abbr="demõ">demom</expan>
              ſtratis in libro de vi percuſſionis
                <expan abbr="eadẽ">eadem</expan>
                <lb/>
              vis motiua leuitatis ipſius A communicatur, &
                <expan abbr="expã-ditur">expan­
                  <lb/>
                ditur</expan>
              per vniuerſum corpus motum, ſcilicèt per flui­
                <lb/>
              dum B, igitur eius impetus D valdè debilitatur re­
                <lb/>
              tardaturque, ſitque diminuta velocitas E, qua ni­
                <lb/>
              mirùm lignum leue A, & fluidum B mouentur. </s>
              <s id="s.000471">pari
                <lb/>
              ratione ſit F velocitas retardata, qua idem lignum̨
                <lb/>
              A nec non moles hydrargyri C ſibi æquali agitatur.
                <lb/>
              </s>
              <s id="s.000472">Oſtendendum eſt quòd velocitas, E qua nimirum li­
                <lb/>
              gnum aſcendit per aquam maior ſit velocitate F quà
                <lb/>
              lignum per mercurium eleuatur, & habere veloci­
                <lb/>
              tatem E ad F reciprocè ferè eamdem proportionem,
                <lb/>
                <figure id="id.010.01.104.1.jpg" xlink:href="010/01/104/1.jpg"/>
                <lb/>
              quam habet corporea ſubſtantia
                <lb/>
              AC ad corpulentiam AB. </s>
              <s id="s.000473">Quia ab
                <lb/>
              eadem virtute motiua impelluntur
                <lb/>
              duo corpora A, & B à qua priùs in­
                <lb/>
              telligebatur moueri ſingularis maſ­
                <lb/>
              ſa lignea A cui naturalis gradus
                <lb/>
              impetus D conueniebat, igitur mo­
                <lb/>
              les corporea, & materialis duorum
                <lb/>
              corporum ſimul ſumptorum A & B
                <lb/>
              ad molem corpoream A reciprocè
                <lb/>
              eamdem proportionem habebit, quam eorum ve­
                <lb/>
                <arrow.to.target n="marg113"/>
                <lb/>
              locitates
                <expan abbr="habẽt">habent</expan>
              , & ideò
                <expan abbr="erũt">erunt</expan>
              vt D ad E. </s>
              <s id="s.000474">Simili ratio­
                <lb/>
              cinio vt moles corporea A ad molem corpoream AC
                <lb/>
              ita eſt velocitas F ad D, ergo ex æqualitate pertur­
                <lb/>
              bata corporea ſubſtantia AB, ad AC eamdem pro­
                <lb/>
              portionem habebit, quàm velocitas F ad E, eſt quę </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>