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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1208, page id 1815201908:1265
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine
# Lines: 28 recognised, mean confidence 0.89
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1208
DR
EVR A HYPER BOL A
clatuum 2L Cuet veasde tettet cermts p netue deope
quadracum C FT, _ insuper exhrpochesi r26. huins exrrema rectangula TILR. C. II L
simrparia, eciam media OHIP, GHI N X qualia CEUBE. Ouod Crac demonAratdum.
Corollarium.
TInCpaceF H O HP rectangulis aequalia sanc rectangula CIVTN, puneta N este
Lad liyperbolam.
IIdem posiris:
PROPOSITIO CXXZ.
Dico eylindrum conctancem semihy per bola NNI, ex alcicudine HC
aquarimagnicudini Colida quae tir ex parabolis parallelis OH, PH in CC
invicem ductis.
Demonstratio.
Um enim per praecedencem rectanoutum OFP aequerur semper rectangulo
LGFN; ergo perquadeogelimam quintam libei de ductu plani in planu, se-
micrlindeus hrperbolicus qui producitur ex Cemibirperbola NFT in alcicudinem
HI C xqualis est corpori. quod tic ex parabola OEI in parabolam sibi parallelam
ZIF. Duod erat demonstrandum.
PROPOSITIO CXZKI
YInF denuoparabola ABC, D F O, quascontingat AB, in vertuIqu
Dverrice: Politilq; AC, D R qua incer se aquidistent de descripea hy-
perbola D NN, cuius IN ordinatim politx ad axem D FI, postincrectan-
Bula MIR: hancquadraris NI xqualia XIO rectangula.
Dico DOO csleparabolam.
Demon
eet