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

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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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