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

List of thumbnails

< >
21
21 		22
22
23
23 		24
24
25
25 		26
26
27
27 		28
28
29
29 		30
30
< >
page |< < of 43 > >|
    <archimedes>
      <text>
        <body>
          <pb xlink:href="076/01/023.jpg"/>
          <chap>
            <p type="head">
              <s id="s.000153">PROPOSITIO XI.
                <lb/>
              </s>
            </p>
            <subchap1>
              <p>
                <s id="s.000154">Si Duo gravia descendant alterum super linea perpen-
                  <lb/>
                diculari, alterum vero super inclinata; proportio ve-
                  <lb/>
                locitatum est reciproca proportioni linearum.
                  <lb/>
                </s>
              </p>
            </subchap1>
            <p>
              <s id="s.000155">Sit ABC planum normaliter erectum super lineam ori-
                <lb/>
              zontalem BC, cuius latus AB sit perpendiculare, &
                <lb/>
              AC, inclinatum.
                <lb/>
              </s>
            </p>
            <p>
              <s id="s.000156">Dico quod proportio velocitatum solidorum gravium moto-
                <lb/>
              rum secundum lineam AB perpendicularem, & AC in-
                <lb/>
              clinatum, est ut proportio longitudinis inclinatae AC ad
                <lb/>
              longitudinem perpendicularis AB; videlicet ita est longi-
                <lb/>
              tudo AB ad longitudinem AC, ut velocitas super AC ad
                <lb/>
              velocitatem in AB.
                <lb/>
              </s>
            </p>
            <p>
              <s id="s.000157">Quoniam est ut AC ad AB, ita momentum in AB, ad mo-
                <lb/>
              mentum in AC
                <arrow.to.target n="marg24"/>
              ; & ut momentum in AB ad momentum
                <lb/>
              in AC, ita velocitas in AB ad velocitatem in AC
                <arrow.to.target n="marg25"/>
              ; er-
                <lb/>
              go est etiam ut AC ad AB, ita velocitas in AB ad velo-
                <lb/>
              citatem in AC. </s>
              <s id="s.000158">Quod fuit probandum.
                <lb/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000159">
                <margin.target id="marg24"/>
              Per 4.
                <lb/>
              supp.
                <lb/>
              </s>
              <s id="s.000160">
                <margin.target id="marg25"/>
              Per 2.
                <lb/>
              pet.
                <lb/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum