Full text: Cavalieri, Bonaventura: Geometria indivisibilibvs continvorvm

580. COROLLARIVM VI.

IN Prop. 6. expoſita eius figura, & vt fiat noſtrum exemplum ea-
dein circa, EM, reuoluta, patet pla-
num tranſiens per, SV, æquid ſtans ba-
ſi, FG, a cono de, FEG, reſecare conoi-
dem, SEV, quæ ad conum, SEV, habet
rationem datam, quam nempè habet H
R, ad, RL, idq; diſcimus efficere quo-
cunque ſolido ſimilari exiſtente, FEG,
cuius figura genitrix ſit, FEG, à quo . ſ. ſciemus abſcindere per planũ baſi ęqui-
diſtans ſolidum ſibi ſimilare, quod nem-
pè erit genitũ ex hyperbola, SEV, quod
ad ſolidum ſibi ſimilare genitum ex triã-
gulo, SEV, habeat rationem datam,
dummodo data ratio ſit quidem maioris
in æqualitatis, ſed minor ſexquialtera.

580.1.

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581. COROLLARIVM VII.

IN Prop. 7. expoſita eius figura, dimiſsis tamen rectis, ED, SO
XO, & parallelogrammis,
GX, GR, eadem reuoluatur cir-
ca manentem axim, CV, vt ex
triangulo, HCR, fiat conus, H
CR, & ex hyperbola, SOX, co-
nois, SOX, patet ergo conum,
HCR, ad conoidem, SOX, eſſe
in ratione compoſita ex ea, quã
habet quadratum, SX, ad qua-
dratum, HR, & rectangulum,
AVO, ad rectangulum, BVC.

581.1.

0435-02
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