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

Table of contents

< >
[421.] THEOREMA X. PROPOS. XI.
Page: 318 (298)
[422.] COROLLARIV M.
Page: 320 (300)
[423.] THEOREMA XI. PROPOS. XII.
Page: 320 (300)
[424.] THEOREMA XII. PROPOS. XIII.
Page: 321 (301)
[425.] THEOREMA XIII. PROPOS. XIV.
Page: 323 (303)
[426.] THEOREMA XIV. PROPOS. XV.
Page: 324 (304)
[427.] THEOREMA XV. PROPOS. XVI.
Page: 325 (305)
[428.] THEOREMA XVI. PROPOS. XVII.
Page: 325 (305)
[429.] COROLLARIVM.
Page: 327 (307)
[430.] THEOREMA XVII. PROPOS. XVIII.
Page: 327 (307)
[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)
< >
page |< < (464) of 569 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div1081" type="section" level="1" n="648">
          <pb o="464" file="0484" n="484" rhead="GEOMETRIÆ"/>
          <p style="it">
            <s xml:id="echoid-s11915" xml:space="preserve">rorum. </s>
            <s xml:id="echoid-s11916" xml:space="preserve">Si autem primum ſpatium ſubtrahatur à ſecundo, ſecundum
              <lb/>
            à tertio, tertium à quarto, & </s>
            <s xml:id="echoid-s11917" xml:space="preserve">ſic deinceps, habebimus hanc numero-
              <lb/>
            rum ſecundum ſerieum indic antem rationem primi ſpatij ad faſciam ſe-
              <lb/>
            quentem, & </s>
            <s xml:id="echoid-s11918" xml:space="preserve">huius ad faſciam ſequentem, & </s>
            <s xml:id="echoid-s11919" xml:space="preserve">ſic deinceps, in qua pa-
              <lb/>
            tet primum ſpatium eſſe _{1/6}_. </s>
            <s xml:id="echoid-s11920" xml:space="preserve">faſcia ſequentis, ſecundam verò faſciam
              <lb/>
            prima eſſe duplam, tertiam eiuſdem triplam, quartam quadruplam, & </s>
            <s xml:id="echoid-s11921" xml:space="preserve">
              <lb/>
            ſic deinceps, ſec undum numenorum continuum incrementum, qua in-
              <lb/>
            uentis ab Archimede eſſe conformia eiuſdem de ſpiralibus librum
              <lb/>
            perlegenti compertum fiet.</s>
            <s xml:id="echoid-s11922" xml:space="preserve"/>
          </p>
          <figure number="329">
            <image file="0484-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0484-01"/>
          </figure>
        </div>
        <div xml:id="echoid-div1083" type="section" level="1" n="649">
          <head xml:id="echoid-head679" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s11923" xml:space="preserve">_H_Aec libuit apponere, tum quia adhibita methodus ab Archime-
              <lb/>
            dea diuerſa eſt, tum etiam, vt admirabilem connexionem, &</s>
            <s xml:id="echoid-s11924" xml:space="preserve">,
              <lb/>
            vt ita dicam parabolici, ac helici ſpatij, affinitatem, talia ſpeculanti,
              <lb/>
            puto, non aſpernendam, ob oculos ponerem; </s>
            <s xml:id="echoid-s11925" xml:space="preserve">quibus, & </s>
            <s xml:id="echoid-s11926" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum