Baliani, Giovanni Battista, De motv natvrali gravivm solidorvm et liqvidorvm

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 177 > >|
    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/058.jpg"/>
            <subchap1 n="1" type="proposition">
              <p type="head">
                <s id="s.000393">PROPOSITIO PRIMA.</s>
              </p>
              <subchap2 n="1" type="statement">
                <p type="main">
                  <s id="s.000394">Grave in motu naturali, sive perpendiculari,
                    <lb/>
                  sive inclinato, fertur sine ope gravitatis,
                    <lb/>
                  aequali tempore, per duplum spatii praece­
                    <lb/>
                  dentis.</s>
                </p>
              </subchap2>
              <subchap2 n="1" type="proof">
                <p type="main">
                  <figure id="id.064.01.058.1.jpg" xlink:href="064/01/058/1.jpg" number="31"/>
                  <s id="s.000395">Dato gravi A naturaliter la­
                    <lb/>
                  to ab A ad B tempore ab,
                    <lb/>
                  cuius aequale sit tempus bc, &
                    <lb/>
                  spatium BC, sit duplum spati AB.
                    <lb/>
                  </s>
                  <s id="s.000396">Dico quod tempore bc fertur grave
                    <lb/>
                  sine ope gravitatis per spatium
                    <lb/>
                  aequale ipsi BC.</s>
                </p>
                <p type="main">
                  <s id="s.000397">Producatur AB, sumaturque portio
                    <lb/>
                  BD aequalis, & DE dupla lineae AB, & pro­
                    <lb/>
                  inde aequalis ipsi BC.</s>
                </p>
                <p type="main">
                  <s id="s.000398">Quoniam ope gravitatis A tempore ab fertur
                    <lb/>
                  in B per constructionem, tempore bc eadem
                    <lb/>
                  ope prodibit in D per spatium BD aequale A
                    <lb/>
                  B
                    <arrow.to.target n="marg90"/>
                  , at prodit in E
                    <arrow.to.target n="marg91"/>
                  , ergo fertur per DE du­
                    <lb/>
                  plum ipsius AB sine ope gravitatis, cui cum
                    <lb/>
                  sit aequalis BC per constructionem, constat,
                    <lb/>
                  quod sine ope gravitatis tempore bc fertur per
                    <lb/>
                  spatium aequale BC, quod etc.</s>
                </p>
                <p type="margin">
                  <s id="s.000399">
                    <margin.target id="marg90"/>
                  Per axioma primum.</s>
                </p>
                <p type="margin">
                  <s id="s.000400">
                    <margin.target id="marg91"/>
                  Per 3. primi huius.</s>
                </p>
              </subchap2>
              <subchap2 type="corollary">
                <p type="head">
                  <s id="s.000401">Corollarium Primum</s>
                </p>
                <p type="main">
                  <s id="s.000402">Hinc sequitur quod si spatium AB sectum esset
                    <lb/>
                  in quatuor partes aequales, grave perficeret </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum