Baliani, Giovanni Battista, De motu naturali gravium solidorum, 1638

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 43 > >|
    <archimedes>
      <text>
        <body>
          <pb xlink:href="076/01/038.jpg"/>
          <chap>
            <p type="head">
              <s id="s.000314">PROPOSITIO XXVI.
                <lb/>
              </s>
            </p>
            <subchap1>
              <p>
                <s id="s.000315">Si in circulo erecto, a puncto inferiori ducantur plana
                  <lb/>
                ad puncta peripheriae, & a dictis punctis descendant
                  <lb/>
                gravia super dicta plana eodem tempore quo a puncto su-
                  <lb/>
                premo descendit aliud grave perpendiculariter; perve-
                  <lb/>
                nient omnia eodem instanti ad dictum punctum inferius.
                  <lb/>
                </s>
              </p>
            </subchap1>
            <p>
              <s id="s.000316">Sit circulus cuius diameter ABC erectus super plano
                <lb/>
              orizontali, quod tangat in C, & a C ducantur plana C
                <lb/>
              D, CE, & a punctis, E, D gravia descendant super dicta
                <lb/>
              plana, nec non, & a puncto supremo A perpendiculariter.
                <lb/>
              </s>
            </p>
            <p>
              <s id="s.000317">Dico quod eodem tempore perveniunt in C.
                <lb/>
              </s>
            </p>
            <p>
              <s id="s.000318">A puncto A ducantur AF, AG paralellae ipsis CE, CD,
                <lb/>
              & ducantur AF, FC.
                <lb/>
              </s>
            </p>
            <p>
              <s id="s.000319">Quoniam in triangulis AEC, AFC anguli alterni FAC,
                <lb/>
              ACE sint aequales,
                <arrow.to.target n="marg82"/>
              , & anguli AFC, AEC sunt etiam
                <lb/>
              aequales puta recti
                <arrow.to.target n="marg83"/>
              , & basis AC communis, Triangula
                <lb/>
              sunt aequalia
                <arrow.to.target n="marg84"/>
              , & proinde AF est aequalis CE, quod idem
                <lb/>
              probabitur de reliquis, ergo cum AF, CE, & reliquae
                <lb/>
              sint paralellae, & aequales, gravia per CE, CD perve-
                <lb/>
              nient in C eodem tempore, quo digressa ab A perveniunt
                <lb/>
              ad puncta FG, sed haec eodem tempore quo perpendicularis
                <lb/>
              pervenit in C
                <arrow.to.target n="marg85"/>
              , ergo etiam ea quae per CE, CD. </s>
              <s id="s.000320">Quod, &c.
                <lb/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000321">
                <margin.target id="marg82"/>
              Per 29.
                <lb/>
              primi.
                <lb/>
              </s>
              <s id="s.000322">
                <margin.target id="marg83"/>
              Per 30.
                <lb/>
              Tertii.
                <lb/>
              </s>
              <s id="s.000323">
                <margin.target id="marg84"/>
              Per 26.
                <lb/>
              primi.
                <lb/>
              </s>
              <s id="s.000324">
                <margin.target id="marg85"/>
              Per 25.
                <lb/>
              hujus.
                <lb/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>