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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1068, page id 1815201908:1125
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11a2 u-
CONOIDES PARABOLICV. H.
PROPOSITIO CLX.
1068. 
HIc quanis parseets Pataboet ABC, habens balim ellipricam
ablatam LBC, a capet eadem bali Formetur conus inscripeus conoidi:
Aac deinde guauis sectio quae aequidister basi elliprice, FOrmAnSFOrHAS
sectiones, vnam in cxlindro HIIIE, secundam in conoide L. M N, terriam
in COnOOPO.
Dico eres has sectiones esse in-
cer le similes.
Demonstratio.
Vm solidum AGCF supponatur
esse cxlindrus, sectio AOC similis
e aequalis cricsectioni IIIK; Led quia
demonstracum est a omnes sectiones in
conoide parallelassimilesesse, eciam le-
atio L MN Similis est sectioni AC C:
quia vero etiam demonstracum est in
conolectiones parallelas quae extibene
elliples, similes existere, criam lectio
OFO smilis crielectioni AC, C. Igi-
EUT OMMCS ErOS FTTR, LMN, OP 
sectiones similes (unc bal AC C., de
conlequener incer (e. Quod crac de-
monctrandum.
PR OPOSITIO CLZI.
VIne dux parabolae quarum vna ABC sic recta, habens nimirum Or-
dinarim policas ad angulos rectos; altera Id P. F obliqua cuiusnimiru
ordinatim poliex ad diametrum F. HI, non Faciane cum diametro rectos
angulos. sine aurem cam diamerri BG, F. HI quam C A, DF ordinarim
ad eas consticurx, aquales inter (c.
Dico BOC ductum in se ad angulos rectos, ad F O FHI ductum in se
ad angulos obliquos EHF, eam Cortiri racionem quxe compolica es
ex criangulo ABG ad DF H, e ex AC seu GC ad FL, normalem
ad E. H.
DAC C, Cuper qua cxlindrus condatur continens conoideos parrem
Demon-
BD
la
e
MCC
be
i
C
31
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