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

Table of contents

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[461.] B. SECTIO II.
[462.] C. SECTIO III.
[463.] D. SECTIO IV.
[464.] E. SECTIO V.
[465.] THEOREMA XXIX. PROPOS. XXXI.
[466.] THEOREMA XXX. PROPOS. XXXII.
[467.] COROLLARIVM.
[468.] THEOREMA XXXI. PROPOS. XXXIII.
[469.] THEOREMA XXXII. PROPOS. XXXIV.
[470.] COROLLARIVM.
[471.] THEOREMA XXXIII. PROPOS. XXXV.
[472.] COROLLARIVM.
[473.] THEOREMA XXXIV. PROPOS. XXXVI.
[474.] THEOREMA XXXV. PROPOS. XXXVII.
[475.] THEOREMA XXXVI. PROP. XXXVIII.
[476.] THEOREMA XXXVII. PROP. XXXIX.
[477.] THEOREMA XXXVIII. PROP. XL.
[478.] COROLLARIVM.
[479.] THEOREMA XXXIX. PROPOS. XLI
[480.] THEOREMA XL. PROPOS. XLII.
[481.] THEOREMA XLI. PROPOS. XLIII.
[482.] THEOREMA XLII. PROPOS. XLIV.
[483.] THEOREMA XLIII. PROP. XLV.
[484.] THEOREMA XLIV. PROP. XLVI.
[485.] THEOREMA XLV. PROP. XLVII.
[486.] THEOREMA XLVI. PROPOS. XLVIII.
[487.] THEOREMA XLVII. PROPOS. XLIX.
[488.] THEOREMA XLVIII. PROPOS. L.
[489.] THEOREMA XLIX. PROPOS. LI.
[490.] SCHOLIVM.
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page |< < (448) of 569 > >|
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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