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

Table of contents

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[461.] B. SECTIO II.
Page: 344 (324)
[462.] C. SECTIO III.
Page: 344 (324)
[463.] D. SECTIO IV.
Page: 344 (324)
[464.] E. SECTIO V.
Page: 345 (325)
[465.] THEOREMA XXIX. PROPOS. XXXI.
Page: 345 (325)
[466.] THEOREMA XXX. PROPOS. XXXII.
Page: 346 (326)
[467.] COROLLARIVM.
Page: 347 (327)
[468.] THEOREMA XXXI. PROPOS. XXXIII.
Page: 347 (327)
[469.] THEOREMA XXXII. PROPOS. XXXIV.
Page: 348 (328)
[470.] COROLLARIVM.
Page: 349 (329)
[471.] THEOREMA XXXIII. PROPOS. XXXV.
Page: 349 (329)
[472.] COROLLARIVM.
Page: 350 (330)
[473.] THEOREMA XXXIV. PROPOS. XXXVI.
Page: 351 (331)
[474.] THEOREMA XXXV. PROPOS. XXXVII.
Page: 352 (332)
[475.] THEOREMA XXXVI. PROP. XXXVIII.
Page: 353 (333)
[476.] THEOREMA XXXVII. PROP. XXXIX.
Page: 354 (334)
[477.] THEOREMA XXXVIII. PROP. XL.
Page: 354 (334)
[478.] COROLLARIVM.
Page: 354 (334)
[479.] THEOREMA XXXIX. PROPOS. XLI
Page: 355 (335)
[480.] THEOREMA XL. PROPOS. XLII.
Page: 356 (336)
[481.] THEOREMA XLI. PROPOS. XLIII.
Page: 357 (337)
[482.] THEOREMA XLII. PROPOS. XLIV.
Page: 358 (338)
[483.] THEOREMA XLIII. PROP. XLV.
Page: 358 (338)
[484.] THEOREMA XLIV. PROP. XLVI.
Page: 359 (339)
[485.] THEOREMA XLV. PROP. XLVII.
Page: 360 (340)
[486.] THEOREMA XLVI. PROPOS. XLVIII.
Page: 361 (341)
[487.] THEOREMA XLVII. PROPOS. XLIX.
Page: 362 (342)
[488.] THEOREMA XLVIII. PROPOS. L.
Page: 364 (344)
[489.] THEOREMA XLIX. PROPOS. LI.
Page: 365 (345)
[490.] SCHOLIVM.
Page: 365 (345)
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            I, QO, ſic oſtendemus eſſe æquales ipſas, O℟, TL, quia ergo ſe-
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              <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>
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            ſector, ΩΟF, ad circulum, FK, eſt vt circumferentia, ΩF, ad cir-
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              <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-
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            drata, MN, regula, EB, ad omnia quadrata, ED, & </s>
            <s xml:id="echoid-s11514" xml:space="preserve">circulus, ΩΚΧ
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            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-
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              <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,
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            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-
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              <note position="left" xlink:label="note-0468-06" xlink:href="note-0468-06a" xml:space="preserve">F. Cor. 22.
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              1, 2.</note>
            li, MIC, ad omnia quadrata trianguli, TLC, ergo ſector, AOQ </s>
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