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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1063, page id 1815201908:1120
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CONOTDES PARABOLLEYM.
Demonstratio.
Ineduo conoides AB C, G F. F. oRtenden-
dum est conoides ABC ad conoides
CPF, habere rationem compositam exra-
tione balioS AR C ad batm P, IC, d CX
ratione alcicudinis BD ad P FI alcicudinem.
precedenci proposicione demonstracum est
conoides ad conoides cam habere rarionem
quam prisma habens balim criangulam
BDA, ec alcicudinem D A ad prilma ex
balicriangula PIIR e alcicudine IIF. Ced
ratio illorum prILInAEUM COMPONIEUF CX Fa-
eione alcicudinum D A, FTF, _ ex rarione
criangularium batium B D A, TIF F, hoc eA
rursum exracione D A ad FIE, ee cxracio-
ne BD ad F FI. ergo racio conoidium com-
ponitur exracione D A ad FIF bis sumpra,
hoc est ex racione circuli AK C ad circu.
tum BFG, et ex rarione alcicudinum conoi-
dicarum BD, HIF. Ouod erac demonstran
dum.
PROeOSIIIO CI
Tonoides parabolicum ad conoides
sparabolicum haber rarionem quam
conus inscripeus ad conum inscripeum.
Demonstratio.
M conoidibus inscripei coni LC, I.
Conus enim ad conum rationem haber com-
posicam ex basi circulari AKC ad basim
DOF. e ex alcicudine BFI ad F I. scd prae-
cedenei propolicione idiplum est demonstra-
cum derarione conoidis ad conoides. erso co-
nus inscriprus ad conum inscriprum eam ha-
bec rationem quam conoides ad conoides, cum
alcicudines ee bales communes existane.
Dico conoidesad conoides eam habere ra-
tionem quam habCE COnUS A BC adDF. F.
es
mon
    ei ut pat ae Mt ite te e ee ste e te te ete  pea ta p    ut  e i t e  epte  it At  t       e e e t  a  t e  u    u  t  t e