Full text: Cavalieri, Bonaventura: Geometria indivisibilibvs continvorvm

LIBER VI. rationes componunt rationem rectanguli, HAM, cum {1/3}. quadrati,
HM, ad rectangulum, MAB, cum {1/3}. quadrati, MB. Et ſic dein-
ceps oſtendemus tertium ſpatium ad quartum eſſe, vt rectangulũ,
MAB, cum {1/3}. quadrati, MB, ad rectangulum ſub, BA, & radio
circuli vnitate maioris, vna cum {1/3}. quadrati differentiæ horum
radiorum, quæ differentia ſemper eſt æqualis radio primi circuli,
quod oſtendere opus erat.

644.1.

9. huius.
Coroll. 2.
11. l. 3.
15. huius.
Defin. 12.
l. 1.
15. huiu.
Coroll. 2.
11. l. 3.
15. huius.
0479-01

645. ALITER.

EXponatur triangulus, ETI, habens rectum angulum ad, T,
cuius latus, ET, ſit æquale radio primi circuli, & , TI, eiuſdẽ
circumferentiæ, & per, EI, tranſeat parabolæ curua quam tangat,
TE, in, E, vertice, ſecet verò, TI, in, I, eiuſdem axi æquidiſtans,
deinde indefinitè producta, ET, verſus, T, in ea ſumantur tot par-
tes æquales ipſi, ET, quot radij primi circuli ſunt in radio, AB, quę

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