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

Page concordance

< >
Scan Original
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
< >
page |< < of 177 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="064/01/041.jpg"/>
            <subchap1 n="20" type="proposition">
              <p type="head">
                <s id="s.000274">PROPOSITIO XX. PROBL. XII.</s>
              </p>
              <subchap2 n="20" type="statement">
                <p type="main">
                  <s id="s.000275">Datis duobus planis diverse inclinatis lon­
                    <lb/>
                  gitudinis notae; & nota diuturnitate gra­
                    <lb/>
                  vis moti super uno, reperire diuturnita­
                    <lb/>
                  tem si moveatur super alio.
                    <figure id="id.064.01.041.1.jpg" xlink:href="064/01/041/1.jpg" number="21"/>
                  </s>
                </p>
              </subchap2>
              <subchap2 n="21" type="proof">
                <p type="main">
                  <s id="s.000276">Sint plana AB, CD inclinata, & sit data diu­
                    <lb/>
                  turnitas E plani AB.</s>
                </p>
                <p type="main">
                  <s id="s.000277">Oportet reperire diuturnitatem plani CD.</s>
                </p>
                <p type="main">
                  <s id="s.000278">Fiat AF, paralella, & aequalis datae CD, in qua
                    <lb/>
                  reperiatur punctum G quo perveniat grave,
                    <lb/>
                  tempore quo in B
                    <arrow.to.target n="marg62"/>
                  , unde E est etiam diuturnitas
                    <lb/>
                  spatij AG, quo dato, & spatio AF perquiratur
                    <lb/>
                  eias diuturnitas, quae sit H
                    <arrow.to.target n="marg63"/>
                  , & dico H esse
                    <lb/>
                  diuturnitatem quae grave descendit in CD.</s>
                </p>
                <p type="margin">
                  <s id="s.000279">
                    <margin.target id="marg62"/>
                  Per 17. huius.</s>
                </p>
                <p type="margin">
                  <s id="s.000280">
                    <margin.target id="marg63"/>
                  Per 9. huius.</s>
                </p>
                <p type="main">
                  <s id="s.000281">Quoniam E, H sunt diuturnitates gravium de­
                    <lb/>
                  scendentium in AG, seu AB, & AF, per con­
                    <lb/>
                  structionem, & AF est aequalis, & paralella
                    <lb/>
                  datae CD per constructionem, sunt etiam E, H
                    <lb/>
                  diuturnitates ipsarum AB, & CD
                    <arrow.to.target n="marg64"/>
                  , unde
                    <lb/>
                  reperta est diuturnitas ipsius CD. </s>
                  <s id="s.000282">Quod, etc.</s>
                </p>
                <p type="margin">
                  <s id="s.000283">
                    <margin.target id="marg64"/>
                  Per 3. pron.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum