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

Table of contents

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[431.] THEOREMA XVIII. PROPOS. XIX.
[432.] A. COROLL. SECTIO I.
[433.] B. SECTIO II.
[434.] C. SECTIO III.
[435.] D. SECTIO IV.
[436.] E. SECTIO V.
[437.] SCHOLIV M.
[438.] THEOREMA XIX. PROPOS. XX.
[439.] COROLLARIVM.
[440.] THEOREMA XX. PROPOS. XXI.
[441.] THEOREMA XXI. PROPOS. XXII.
[442.] THEOREMA XXII. PROPOS. XXIII.
[443.] COROLLARIVM.
[444.] THEOREMA XXIII. PROPOS. XXIV.
[445.] PROBLEMA II. PROPOS. XXV.
[446.] COROLLARIVM.
[447.] THEOREMA XXIV. PROPOS. XXVI.
[448.] THEOREMA XXV. PROPOS. XXVII.
[449.] COROLLARIVM I.
[450.] COROLLARIVM II.
[451.] THEOREMA XXVI. PROPOS. XXVIII.
[452.] COROLLARIVM.
[453.] THEOREMA XXVII. PROPOS. XXIX:
[454.] A. COROLL. SECTIO I.
[455.] B. SECTIO II.
[456.] C. SECTIO III.
[457.] D. SECTIO IV.
[458.] E. SECTIO V.
[459.] THEOREMA XXVIII. PROPOS. XXX.
[460.] A. COROLL. SECT IO I.
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468448GEOMETRIÆ322[Figure 322] I, QO, ſic oſtendemus eſſe æquales ipſas, O℟, TL, quia ergo ſe-
11Corol. 2.
3. huius.
ctor, AOQ, ad ſectorem, ΩΟF, eſt vt quadratum, QO, ad quadra-
tum, OF, ideſt vt quadratum, IM, ad quadratum, MH, ideſt vt
omnia quadrata, MG, regula, EB, ad omnia quadrata, MN, &

ſector, ΩΟF, ad circulum, FK, eſt vt circumferentia, ΩF, ad cir-
22Io. 1. 2, cumferentiam, FΩΚΧ, ideſt vt, MT, ad, EC, ideſt vt omnia qua-
drata, MN, regula, EB, ad omnia quadrata, ED, &
circulus, ΩΚΧ
F, ſpatij, OXQ℟PO, triplus eſt, ideſt, ſe habet ad illud, vt omnia
339. huius.
24. 1. 2.
quadrata, ED, ad omnia quadrata trianguli, EBC, regula, EB,
item ſpatium, OXQ℟P, ad ſpatium, OQ℟PO, eſt vt cubus, OX,
44Ex ant. ab cubum, OQ, ideſt vt cubus, EB, ad cubum, MI, ideſt vt omnia
quadrata trianguli, EBC, ad omnia quadrata trianguli, MIC, er-
55Coro. 22,
1. 2.
go ex æquali ſector, AOQ, ad ſpatium, OQ℟PO, erit vt omnia
quadrata, MG, ad omnia quadrata trianguli, MIC, &
quia ſpatiũ,
OQ℟PO, ad ſpatium, ℟PO, eſt vt cubus, OQ, ad cubum, O℟, id-
eſt vt cubus, MI, ad cubum, TL, ideſt vt omnia quadrata triangu-
66F. Cor. 22.
1, 2.
li, MIC, ad omnia quadrata trianguli, TLC, ergo ſector, AOQ

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