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

Page concordance

< >
Scan Original
31
32
33
34
35
36
37
38
39
40
41
42
43
< >
page |< < of 43 > >|
    <archimedes>
      <text>
        <body>
          <pb xlink:href="076/01/034.jpg"/>
          <chap>
            <p type="head">
              <s id="s.000269">PROPOSITIO XXII.
                <lb/>
              </s>
            </p>
            <subchap1>
              <p>
                <s id="s.000270">Si duo gravia descendunt alterum quidem perpendicu-
                  <lb/>
                lariter, alterum vero super plano declinante, perve-
                  <lb/>
                niunt ad idem planum Orizontale tali ratione, ut sit
                  <lb/>
                eadem proportio inter diuturnitates eorum, quae in-
                  <lb/>
                ter perpendicularem, & declinantem.
                  <lb/>
                </s>
              </p>
            </subchap1>
            <p>
              <s id="s.000271">Sit linea AB perpendiculariter erecta super plano Ori-
                <lb/>
              zontali BC, & AC planum declinans.
                <lb/>
              </s>
            </p>
            <p>
              <s id="s.000272">Dico quod diuturnitates gravium descendentium per AB, &
                <lb/>
              per AC, sunt ut AB ad AC.
                <lb/>
              </s>
            </p>
            <p>
              <s id="s.000273">Ducatur BD normalis ad AC.
                <lb/>
              </s>
            </p>
            <p>
              <s id="s.000274">Quoniam est ut AD ad AC ita quadratum temporis AD
                <lb/>
              ad quadratum temporis AC
                <arrow.to.target n="marg64"/>
              , & tempora AD, & AB
                <lb/>
              sunt aequalia
                <arrow.to.target n="marg65"/>
              , & proinde eorum quadrata
                <arrow.to.target n="marg66"/>
              , ergo ut A
                <lb/>
              D, ad AC ita quadratum temporis AB ad quadratum tem-
                <lb/>
              poris AC, sed ut AD ad AC ita quadratum AB ad qua-
                <lb/>
              dratum AC
                <arrow.to.target n="marg67"/>
              , ergo ut quadratum temporis AB ad qua-
                <lb/>
              dratum temporis AC, ita quadratum AB ad quadratum
                <lb/>
              AC
                <arrow.to.target n="marg68"/>
              , sed quia latera sunt inter se ut eorum quadrata
                <arrow.to.target n="marg69"/>
              , est
                <lb/>
              ut AB ad AC ita tempus AB ad tempus AC. </s>
              <s id="s.000275">Quod, &c.
                <lb/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000276">
                <margin.target id="marg64"/>
              Per cor.
                <lb/>
              7. hujus.
                <lb/>
              </s>
              <s id="s.000277">
                <margin.target id="marg65"/>
              Per 15.
                <lb/>
              hujus.
                <lb/>
              </s>
              <s id="s.000278">
                <margin.target id="marg66"/>
              Per 2.
                <lb/>
              pron.
                <lb/>
              </s>
              <s id="s.000279">
                <margin.target id="marg67"/>
              Per 19.
                <lb/>
              Sexti.
                <lb/>
              </s>
              <s id="s.000280">
                <margin.target id="marg68"/>
              Per 22.
                <lb/>
              Quinti.
                <lb/>
              </s>
              <s id="s.000281">
                <margin.target id="marg69"/>
              Per 24.
                <lb/>
              Sexti.
                <lb/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum