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

Table of contents

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[291.] THEOREMA XXXIX. PROPOS. XXXIX:
Page: 211 (191)
[292.] THEOREMA XL. PROPOS. XL.
Page: 212 (192)
[293.] COROLLARIVM.
Page: 212 (192)
[294.] THEOREMA XLI. PROPOS. XLI.
Page: 212 (192)
[295.] THEOREMA XLII. PROPOS. XLII.
Page: 213 (193)
[296.] COROLLARIVM.
Page: 214 (194)
[297.] SCHOLIVM.
Page: 215 (195)
[298.] Finis Secundi Libri.
Page: 215 (195)
[299.] CAVALERII LIBER TERTIVS. In quo de circulo, & Ellipſi, ac ſolidis ab eiſdem genitis, traditur doctrina.
Page: 217 (197)
[300.] THEOREMA I. PROPOS. I.
Page: 217 (197)
[301.] COROLLARIVM.
Page: 219 (199)
[302.] THEOREMA II. PROPOS. II.
Page: 220 (200)
[303.] THEOREMA III. PROPOS. III.
Page: 221 (201)
[304.] THEOREMA IV. PROPOS. IV.
Page: 223 (203)
[305.] THEOREMA V. PROPOS. V.
Page: 224 (204)
[306.] COROLLARIV M.
Page: 225 (205)
[307.] THEOREMA VI. PROPOS. VI.
Page: 226 (206)
[308.] COROLLARIVM.
Page: 228 (208)
[309.] THEOREMA VII. PROPOS. VII.
Page: 228 (208)
[310.] PROBLEMA I PROPOS. VIII.
Page: 229 (209)
[311.] THEOREMA VIII. PROPOS. IX.
Page: 230 (210)
[312.] COROLLARIVM.
Page: 231 (211)
[313.] THEOREMA IX. PROPOS. X.
Page: 231 (211)
[314.] COROLLARIVM.
Page: 232 (212)
[315.] THEOREMAX. PROPOS. XI.
Page: 233 (213)
[316.] COROLLARIVM I.
Page: 234 (214)
[317.] COROLL II. A. SECTIO I.
Page: 235 (215)
[318.] B. SECTIO II.
Page: 235 (215)
[319.] C. SECTIO III.
Page: 235 (215)
[320.] D. SECTIO IV.
Page: 235 (215)
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            reuoluatur, Δ V, circa manentem axim, RV, cylindrus igitur geni-
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            tus ex reuolutione,
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            Δ V, adſolidum ge-
              <lb/>
            nitum ex reuolutio-
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            ne portionis, RF
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            V, habebit ſupradi-
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            ctam rationem; </s>
            <s xml:id="echoid-s6814" xml:space="preserve">hoc
              <lb/>
            autem ſolidumiam
              <lb/>
            vocauimus: </s>
            <s xml:id="echoid-s6815" xml:space="preserve">Malum
              <lb/>
            citrium, ſi, RFV,
              <lb/>
            ſit portio circuli, ce-
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            terum, ſi ſit portio
              <lb/>
            ellipſis, vocetur; </s>
            <s xml:id="echoid-s6816" xml:space="preserve">O-
              <lb/>
            liua genita ex tali
              <lb/>
            portione;</s>
            <s xml:id="echoid-s6817" xml:space="preserve">eadem au-
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            tem rationem habe-
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            re ſolida ſimilaria genita ex, Δ V, & </s>
            <s xml:id="echoid-s6818" xml:space="preserve">portione, RFV, (intellige ſem-
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            pergenita iuxta regulam ibi aſſumptam, ſcilicet iuxta regulam, FM,)
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            iam ſuperius diximus.</s>
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        <div xml:id="echoid-div668" type="section" level="1" n="391">
          <head xml:id="echoid-head408" xml:space="preserve">COROLLARIVM XXIII.</head>
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            <s xml:id="echoid-s6820" xml:space="preserve">IN Propof.
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            26. </s>
            <s xml:id="echoid-s6822" xml:space="preserve">peiſdẽ
              <lb/>
            antecedẽtis fi-
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            guris colligi-
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            tur ſolidu ſi-
              <lb/>
            milare genitũ
              <lb/>
            iuxta regulã,
              <lb/>
            FM, ad ſibi
              <lb/>
            ſimilare geni-
              <lb/>
            tum iuxta re-
              <lb/>
            gulam, RV,
              <lb/>
            eſſe vt paral-
              <lb/>
            lelepiped. </s>
            <s xml:id="echoid-s6823" xml:space="preserve">ſub
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            baſi rectãgu-
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            lo, qđ dicitur
              <lb/>
            reſiduum an-
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            reced. </s>
            <s xml:id="echoid-s6824" xml:space="preserve">Theor.
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            </s>
            <s xml:id="echoid-s6825" xml:space="preserve">altitudine tri-
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            pla, MH, ad
              <lb/>
            parallelepipedum ſub baſi rectangulo ipſius, FM, ductæ in, RV, al-
              <lb/>
            titudine linea compoſita ex, MH, HN. </s>
            <s xml:id="echoid-s6826" xml:space="preserve">Pronoſtro exemplo </s>
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