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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1090, page id 1815201908:1147
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine
# Lines: 29 recognised, mean confidence 0.91
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nnostu
7090
COHOTDES HIZPERBOEICVU.
Constructio es demonstratio.
Vcacdr peraxem Comae LLLs planum quod exhibeae parallelogranimum
rectangulum GB. echyperbolam B AD. duet aque recta D A Ponarur linca
TL. parallela DB, que Bilccet AD in R, _ rectangulo TKL Rac equale rectan-
sulum (uper IIB _C NM; d describacur patabOla AN FL cuins aXiS NM. Deni-
que hac rectangulum luper IIB, e M 5 aequale quadraro X MI, _ describatuE
AOBMI parabola. Dico exlindrum R F C D CB ad inclulum conoides hyperbo.
licum eam rarionem obtinere quam rectangulum AR B HI ad luperticie paraboli-
eam AN FIBO A. In praecedenci oltensum est hyperbolam AD FI ductan inse x-
quari plano ANTIBO A ducto in alcicudinem IIB. Erso quod sc ex rectangulo
GDEIA, ducto in candem alticudinem LTB est ad hyperbolam A D FI ductam in
se ve GDHTA, SivC AHTBF ad planum ANYIIBO A. Sed quam rarionem habec
AG D ET ductum in Cc hue in alcicudinem FTB ad ATDTI in sC ductum eam quo-
que seruat corpus cylindricum ad conoidicum cum quadrara linearum rectanguli
AC D EI ad quadraca ordinarim policarum in hyperbola ad axem A FI, eandem
habeane rationem quam circuli radiis carundem lincarum deseripci. Igicura manite-
um est exlindrum ad conoides habere racionem quam rectangulum AP. B ad su-
perticiem AN HBO A. Ouod tuic demonstrandum.
P ROPOSITIO OXCV.
InE AB, AC alympcori angulum rectum continentes hyperbola
AD EDF, cuius verrex D; axis AD HI. ponatur aurem D C constiruens
angulum ITDC Temirectum. Ducatur deinde parabola DII cuius l2-
cusrectum Cic aquale diamerro eranluere DL.
Dico conoides hyperbolicum DF. O F aquari conoidi parabolico
OPNK, Cimul cum conoDOM 6.
Demon-