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.000540">
                <pb pagenum="109" xlink:href="010/01/117.jpg"/>
                <arrow.to.target n="marg132"/>
                <lb/>
              impedit, ſed vna promouet, adiuuat, & auget cona­
                <lb/>
              tum, vim, & impetum alterius; & hoc accidit
                <expan abbr="quianõ">quia non</expan>
                <lb/>
              applicantur ambæ eidem termino A libræ, ſed ter­
                <lb/>
              minis oppoſitis A, & B, qui iuxtà libræ, & rotæ pro­
                <lb/>
              prietatem, & naturam debent moueri motibus con­
                <lb/>
                <arrow.to.target n="marg133"/>
                <lb/>
              trarijs, ſcilicèt A per arcum AI, & B per arcum BH.
                <lb/>
              igitur impulſus ponderis D deorsùm, & tractio facta
                <lb/>
              àvi F ſursùm conueniunt, & ſe mutuò adiuuant, &
                <lb/>
              augent, vt ab vtriſque reuolutio libræ efficiatur, quæ
                <lb/>
              ad eaſdem partes impellitur ab eiſdem viribus con­
                <lb/>
              trarijs. </s>
              <s id="s.000541">ceſſet igitur admiratio quare duæ vires con­
                <lb/>
              trariæ in libra ſe mutuò non
                <expan abbr="deſtruãt">deſtruant</expan>
              , ſed potiùs mu­
                <lb/>
              tuo ſe adiuuent, ita vt ex vtriſque reſultet vna vis
                <expan abbr="cõ-poſita">con­
                  <lb/>
                poſita</expan>
              , à qua libra reuoluitur. </s>
            </p>
            <p type="margin">
              <s id="s.000542">
                <margin.target id="marg132"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
                <lb/>
              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="margin">
              <s id="s.000543">
                <margin.target id="marg133"/>
              Prop. 45.</s>
            </p>
            <p type="main">
              <s id="s.000544">
                <emph type="center"/>
              PROP. L.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000545">
                <emph type="center"/>
                <emph type="italics"/>
              Si oppoſitos libræ terminos quatuor potentiæ trahant, duæ
                <lb/>
              ſursùm, & duæ deorsùm, conatus ſeù vis libram fle­
                <lb/>
              ctens menſuratur à ſumma differentiæ aſcen­
                <lb/>
              dentium, cum differentia deſcendentium
                <lb/>
              potentiarum.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000546">SI tandem eadem libra à quatuor viribus impel­
                <lb/>
              latur trahaturque, quarum duæ D, & G graues
                <lb/>
              ſint deorsùmque tendant, duæ verò M, & F ſursùm̨
                <lb/>
              eoſdem terminos libræ trahant, ſitque energia virtu­
                <lb/>
              tis M maior quàm F, pondus verò D minus ſit quàm </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>