Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota

Table of contents

< >
[431.] THEOREMA XVIII. PROPOS. XIX.
Page: 328 (308)
[432.] A. COROLL. SECTIO I.
Page: 328 (308)
[433.] B. SECTIO II.
Page: 329 (309)
[434.] C. SECTIO III.
Page: 329 (309)
[435.] D. SECTIO IV.
Page: 329 (309)
[436.] E. SECTIO V.
Page: 329 (309)
[437.] SCHOLIV M.
Page: 330 (310)
[438.] THEOREMA XIX. PROPOS. XX.
Page: 330 (310)
[439.] COROLLARIVM.
Page: 331 (311)
[440.] THEOREMA XX. PROPOS. XXI.
Page: 331 (311)
[441.] THEOREMA XXI. PROPOS. XXII.
Page: 332 (312)
[442.] THEOREMA XXII. PROPOS. XXIII.
Page: 333 (313)
[443.] COROLLARIVM.
Page: 334 (314)
[444.] THEOREMA XXIII. PROPOS. XXIV.
Page: 334 (314)
[445.] PROBLEMA II. PROPOS. XXV.
Page: 335 (315)
[446.] COROLLARIVM.
Page: 336 (316)
[447.] THEOREMA XXIV. PROPOS. XXVI.
Page: 337 (317)
[448.] THEOREMA XXV. PROPOS. XXVII.
Page: 337 (317)
[449.] COROLLARIVM I.
Page: 339 (319)
[450.] COROLLARIVM II.
Page: 339 (319)
[451.] THEOREMA XXVI. PROPOS. XXVIII.
Page: 340 (320)
[452.] COROLLARIVM.
Page: 341 (321)
[453.] THEOREMA XXVII. PROPOS. XXIX:
Page: 341 (321)
[454.] A. COROLL. SECTIO I.
Page: 341 (321)
[455.] B. SECTIO II.
Page: 342 (322)
[456.] C. SECTIO III.
Page: 342 (322)
[457.] D. SECTIO IV.
Page: 342 (322)
[458.] E. SECTIO V.
Page: 342 (322)
[459.] THEOREMA XXVIII. PROPOS. XXX.
Page: 343 (323)
[460.] A. COROLL. SECT IO I.
Page: 344 (324)
< >
page |< < (448) of 569 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div1058" type="section" level="1" n="636">
          <p>
            <s xml:id="echoid-s11512" xml:space="preserve">
              <pb o="448" file="0468" n="468" rhead="GEOMETRIÆ"/>
              <figure xlink:label="fig-0468-01" xlink:href="fig-0468-01a" number="322">
                <image file="0468-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0468-01"/>
              </figure>
            I, QO, ſic oſtendemus eſſe æquales ipſas, O℟, TL, quia ergo ſe-
              <lb/>
              <note position="left" xlink:label="note-0468-01" xlink:href="note-0468-01a" xml:space="preserve">Corol. 2.
                <lb/>
              3. huius.</note>
            ctor, AOQ, ad ſectorem, ΩΟF, eſt vt quadratum, QO, ad quadra-
              <lb/>
            tum, OF, ideſt vt quadratum, IM, ad quadratum, MH, ideſt vt
              <lb/>
            omnia quadrata, MG, regula, EB, ad omnia quadrata, MN, & </s>
            <s xml:id="echoid-s11513" xml:space="preserve">
              <lb/>
            ſector, ΩΟF, ad circulum, FK, eſt vt circumferentia, ΩF, ad cir-
              <lb/>
              <note position="left" xlink:label="note-0468-02" xlink:href="note-0468-02a" xml:space="preserve">Io. 1. 2,</note>
            cumferentiam, FΩΚΧ, ideſt vt, MT, ad, EC, ideſt vt omnia qua-
              <lb/>
            drata, MN, regula, EB, ad omnia quadrata, ED, & </s>
            <s xml:id="echoid-s11514" xml:space="preserve">circulus, ΩΚΧ
              <lb/>
            F, ſpatij, OXQ℟PO, triplus eſt, ideſt, ſe habet ad illud, vt omnia
              <lb/>
              <note position="left" xlink:label="note-0468-03" xlink:href="note-0468-03a" xml:space="preserve">9. huius.
                <lb/>
              24. 1. 2.</note>
            quadrata, ED, ad omnia quadrata trianguli, EBC, regula, EB,
              <lb/>
            item ſpatium, OXQ℟P, ad ſpatium, OQ℟PO, eſt vt cubus, OX,
              <lb/>
              <note position="left" xlink:label="note-0468-04" xlink:href="note-0468-04a" xml:space="preserve">Ex ant.</note>
            ab cubum, OQ, ideſt vt cubus, EB, ad cubum, MI, ideſt vt omnia
              <lb/>
            quadrata trianguli, EBC, ad omnia quadrata trianguli, MIC, er-
              <lb/>
              <note position="left" xlink:label="note-0468-05" xlink:href="note-0468-05a" xml:space="preserve">Coro. 22,
                <lb/>
              1. 2.</note>
            go ex æquali ſector, AOQ, ad ſpatium, OQ℟PO, erit vt omnia
              <lb/>
            quadrata, MG, ad omnia quadrata trianguli, MIC, & </s>
            <s xml:id="echoid-s11515" xml:space="preserve">quia ſpatiũ,
              <lb/>
            OQ℟PO, ad ſpatium, ℟PO, eſt vt cubus, OQ, ad cubum, O℟, id-
              <lb/>
            eſt vt cubus, MI, ad cubum, TL, ideſt vt omnia quadrata triangu-
              <lb/>
              <note position="left" xlink:label="note-0468-06" xlink:href="note-0468-06a" xml:space="preserve">F. Cor. 22.
                <lb/>
              1, 2.</note>
            li, MIC, ad omnia quadrata trianguli, TLC, ergo ſector, AOQ </s>
          </p>
        </div>
      </text>
    </echo>
Impressum