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

Table of contents

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[371.] SECTIO II.
Page: 286 (266)
[372.] SECTIO III.
Page: 287 (267)
[373.] SECTIO IV.
Page: 287 (267)
[374.] SECTIO V.
Page: 287 (267)
[375.] COROLLARIVM XI.
Page: 287 (267)
[376.] COROLLARIVM XII.
Page: 288 (268)
[377.] COROLLARIVM XIII.
Page: 289 (269)
[378.] COROLLARIVM XIV.
Page: 289 (269)
[379.] COROLL. XV. SECTIO PRIMA.
Page: 290 (270)
[380.] SECTIO II.
Page: 291 (271)
[381.] SECTIO III.
Page: 291 (271)
[382.] COROLL. XVI. SECTIO PRIOR.
Page: 291 (271)
[383.] SECTIO POSTERIOR.
Page: 292 (272)
[384.] COROLL. XVII. SECTIO PRIOR.
Page: 292 (272)
[385.] SECTIO POSTERIOR.
Page: 292 (272)
[386.] COROLLARIVM XVIII.
Page: 293 (273)
[387.] COROLLARIVM XIX.
Page: 294 (274)
[388.] COROLLARIVM XX.
Page: 294 (274)
[389.] COROLLARIVM XXI.
Page: 295 (275)
[390.] COROLLARIVM XXII.
Page: 295 (275)
[391.] COROLLARIVM XXIII.
Page: 296 (276)
[392.] COROLLARIVM XXIV.
Page: 297 (277)
[393.] COROLLARIVM XXV.
Page: 298 (278)
[394.] COROLLARIVM XXVI.
Page: 298 (278)
[395.] COROLLARIVM XXVII.
Page: 299 (279)
[396.] COROLLARIVM XXVIII. SECTIO PRIOR.
Page: 299 (279)
[397.] SECTIO POSTERIOR.
Page: 300 (280)
[398.] COROLL. XXIX. SECTIO PRIMA.
Page: 300 (280)
[399.] SECTIO II.
Page: 301 (281)
[400.] SECTIO III.
Page: 302 (282)
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            cum {1/24}. </s>
            <s xml:id="echoid-s8899" xml:space="preserve">parallelogrammi, AF, .</s>
            <s xml:id="echoid-s8900" xml:space="preserve">1. </s>
            <s xml:id="echoid-s8901" xml:space="preserve">vt 24. </s>
            <s xml:id="echoid-s8902" xml:space="preserve">ad 17. </s>
            <s xml:id="echoid-s8903" xml:space="preserve">& </s>
            <s xml:id="echoid-s8904" xml:space="preserve">ita eſſe ſolidum
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              <figure xlink:label="fig-0375-01" xlink:href="fig-0375-01a" number="256">
                <image file="0375-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0375-01"/>
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            ſimilare ge-
              <lb/>
            nitum ex, A
              <lb/>
            F, ad ſibi ſi-
              <lb/>
            milare geni
              <lb/>
            tum ex figu-
              <lb/>
            ra, CBDF,
              <lb/>
            genita in-
              <lb/>
            quam iuxta
              <lb/>
            communem
              <lb/>
            regulam, D
              <lb/>
            F. </s>
            <s xml:id="echoid-s8905" xml:space="preserve">Vocetur
              <lb/>
            autem ſolidum, quod in reuolutione generatur ex parabola DB
              <lb/>
            F. </s>
            <s xml:id="echoid-s8906" xml:space="preserve">Semianulus ſtrictus parabolicus; </s>
            <s xml:id="echoid-s8907" xml:space="preserve">quod verò gignitur ex, figu-
              <lb/>
            ra, CBDF; </s>
            <s xml:id="echoid-s8908" xml:space="preserve">Semibaſis columnaris parabolica ſtricta.</s>
            <s xml:id="echoid-s8909" xml:space="preserve"/>
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        <div xml:id="echoid-div861" type="section" level="1" n="511">
          <head xml:id="echoid-head531" xml:space="preserve">SECTIO POSTERIOR.</head>
          <p>
            <s xml:id="echoid-s8910" xml:space="preserve">IN Corollario colligitur cylindrum, AM, eſſe ſexquialterum
              <lb/>
            ſemianuli ſtricti parabolici, DBFXM, vnde colligi poteſt pro-
              <lb/>
            prietates, quæ conoidibus, vel apicibus parabolicis in Corollarijs
              <lb/>
            7. </s>
            <s xml:id="echoid-s8911" xml:space="preserve">& </s>
            <s xml:id="echoid-s8912" xml:space="preserve">8. </s>
            <s xml:id="echoid-s8913" xml:space="preserve">Propoſit. </s>
            <s xml:id="echoid-s8914" xml:space="preserve">51. </s>
            <s xml:id="echoid-s8915" xml:space="preserve">huius in eſſe oſtenſa ſunt, & </s>
            <s xml:id="echoid-s8916" xml:space="preserve">de ſemianulis ſtri-
              <lb/>
            ctis parabolicis pariter concludi.</s>
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          <head xml:id="echoid-head532" xml:space="preserve">COROLLARIVM XI.</head>
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            <s xml:id="echoid-s8918" xml:space="preserve">IN Propoſit. </s>
            <s xml:id="echoid-s8919" xml:space="preserve">33. </s>
            <s xml:id="echoid-s8920" xml:space="preserve">habemus partem interiorem ſemianuli ſtricti
              <lb/>
            parabolici, ad exteriorem (quæ partes diſſeparantur per ſuper-
              <lb/>
            ficiem in reuolutione deſcriptam in ſuperioris figura per lineam, ſi-
              <lb/>
            ue axim, BE,) eſse vt 5. </s>
            <s xml:id="echoid-s8921" xml:space="preserve">ad 11. </s>
            <s xml:id="echoid-s8922" xml:space="preserve">& </s>
            <s xml:id="echoid-s8923" xml:space="preserve">ſic eſse quodlibet ſolidum ſimila-
              <lb/>
            re genitum ex, BF, dempto ſolido ſimilari genito ex trilineo, BC
              <lb/>
            F, ad ſibi ſimilare genitum ex figura, CBDF, dempto ſolido ſi-
              <lb/>
            milari genito ex, BF, genita, inquam, iuxta communem regu-
              <lb/>
            lam, DF.</s>
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          <head xml:id="echoid-head533" xml:space="preserve">COROLL. XII. SECTIO PRIOR.</head>
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            <s xml:id="echoid-s8925" xml:space="preserve">IN Prop. </s>
            <s xml:id="echoid-s8926" xml:space="preserve">34. </s>
            <s xml:id="echoid-s8927" xml:space="preserve">aſſumpta eiuſdem figura, vt fiat exemplum reuo-
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            luatur, AM, circa manentem axim, HM, fiat autem ex, AM,
              <lb/>
            in reuolutione cylindrus, AL; </s>
            <s xml:id="echoid-s8928" xml:space="preserve">patet igitur cylindrum, AL, ad ſo-
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            lidum in reuolutione genitum ex parabola, DBF, eſſe vt, AF, </s>
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