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

List of thumbnails

< >
31
31
32
32
33
33
34
34
35
35
36
36
37
37
38
38
39
39
40
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>