Ceva, Giovanni, Geometria motus, 1692
page |< < of 110 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000083">
                <pb pagenum="7" xlink:href="022/01/013.jpg"/>
              minora ſunt temporibus iuxta imagines ALKB, BKIC,
                <lb/>
              CIND, INGE (nam velocitates initio decurſuum per
                <lb/>
              dictas rectas diximus eſſe maximas, & quibus
                <expan abbr="conſiderã-tur">conſideran­
                  <lb/>
                tur</expan>
              illi motus æquabiles ſecundùm imagines ipſa illa re­
                <lb/>
              ctangula inſcripta) ergo rectangulum MH ad inſcriptam̨
                <lb/>
              figuram BL, CK, DI, EN habebit maiorem rationem,
                <expan abbr="quã">quam</expan>
                <lb/>
              tempus per FM iuxta imaginem MH ad tempora ſimul
                <lb/>
              imaginibus ALKB, BKIC, CIND, DNGE, ſiue ad tempus
                <lb/>
              iuxta imaginem ALGE ex illis compoſitam. </s>
              <s id="s.000084">Ideoque re­
                <lb/>
              ctangulum MH ad ipſam inſcriptam figuram habebit ma­
                <lb/>
              iorem rationem, quàm ad magnitudinem Y, idcirco Y, quæ
                <lb/>
              minor oſtenſa fuit inſcriptà figura BL, CK, DI, EN, nunc
                <lb/>
              hac alia via maiorem inuenimus; ergo cum rurſus hoc ſit
                <lb/>
              abſurdum, neceſſe eſt magnitudinem Y neque minorem̨
                <lb/>
              eſſe magnitudine ALGE, propterea æquales inter ſe
                <expan abbr="erũt">erunt</expan>
              ,
                <lb/>
              atque adeo tempus per FM imagine MN ad tempus per
                <lb/>
              AE imagine ALGE habebit eandem rationem, quam ima­
                <lb/>
              go MH ad imaginem ALGE. </s>
              <s id="s.000085">Quod &c. </s>
            </p>
            <p type="margin">
              <s id="s.000086">
                <margin.target id="marg10"/>
                <emph type="italics"/>
              Cor. </s>
              <s id="s.000087">Def.
                <emph.end type="italics"/>
              3.
                <lb/>
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000088">
                <margin.target id="marg11"/>
                <emph type="italics"/>
              Cor. </s>
              <s id="s.000089">Def.
                <emph.end type="italics"/>
              3.
                <lb/>
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000090">
                <margin.target id="marg12"/>
                <emph type="italics"/>
              Ex pramißą
                <lb/>
              parte.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000091">
                <margin.target id="marg13"/>
                <emph type="italics"/>
              Euang. Tor­
                <lb/>
              ric. lem.
                <emph.end type="italics"/>
              18.
                <emph type="italics"/>
              in
                <lb/>
              libro de dim.
                <lb/>
              </s>
              <s id="s.000092">parabolæ.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000093">
                <margin.target id="marg14"/>
                <emph type="italics"/>
              Ax.
                <emph.end type="italics"/>
              3.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000094">3. Imagines propoſitæ ſint duæ acuminatæ. </s>
              <s id="s.000095">Dico ni­
                <lb/>
                <arrow.to.target n="marg15"/>
                <lb/>
              hilominus, tempora iuxta illas imagines per AE, HI eſſe vt
                <lb/>
              ipſæ imagines ALGE ad HIK, quæ ſint inter ſe homoge­
                <lb/>
              neæ vt ſemper ſupponetur. </s>
              <s id="s.000096">Nam ſi intelligatur alius mo­
                <lb/>
              tus per MF iuxta imaginem rectangulum MFN, qui æqua­
                <lb/>
                <arrow.to.target n="marg16"/>
                <lb/>
              bilis erit, manifeſtum eſt ex ſecundo caſu, tempus per AE
                <lb/>
              iuxta imaginem ALGE ad tempus per FM iuxta
                <expan abbr="imaginẽ">imaginem</expan>
                <lb/>
              rectangulum MH, habere eandem rationem, quam imago
                <lb/>
              ALGE ad imaginem rectangulum MH; & ſimiliter tem­
                <lb/>
              pus per FM imagine rectangulum MN ad tempus per HI
                <lb/>
              iuxta imaginem HKI habet eandem rationem, quam ima­
                <lb/>
              go NM ad imaginem HKI, ergo ex æquali tempus per AE
                <lb/>
              ad tempus per HI ſecundùm imagines propoſitas erit vt
                <lb/>
              imago ipſa ALGE ad imaginem HKI. </s>
              <s id="s.000097">Quod &c. </s>
            </p>
            <p type="margin">
              <s id="s.000098">
                <margin.target id="marg15"/>
                <emph type="italics"/>
              Tab.
                <emph.end type="italics"/>
              1.
                <emph type="italics"/>
              Fig.
                <emph.end type="italics"/>
              7.</s>
            </p>
            <p type="margin">
              <s id="s.000099">
                <margin.target id="marg16"/>
                <emph type="italics"/>
              Cor. </s>
              <s id="s.000100">Def.
                <emph.end type="italics"/>
              3
                <lb/>
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000101">4. Demum imagines ſint quæcunque, modò ſint ho­
                <lb/>
                <arrow.to.target n="marg17"/>
                <lb/>
              mogeneæ, ADFB, GHKL: Dico rurſus inter ſe eſſe vt tem-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum