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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 605, page id 1815201908:0662
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=662
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000662.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 recognised, mean confidence 0.77
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

1re.
rent
B
abet
cum.
Per.
rcesi
eius.
6
pli
ra
AIYP ER B O L A.
eROPOSITIO CXLII
IIdem policis per punctura intersectionis D, as AIE DF, asymptoro
aquidiltans; occurrens CiC lincamt.
Dicoracionem C6 adC F, e paa LalbSC F2dC L.
Demonsratio.
DOnatur D
est eius
calleloBraMUm AE. iBicuT CC ad C. F, racio dupCua e rationis C. L ad C F. menih.
ADPOSITIO
XL. 1LI.
605
ECiratio BH ad BC, id el GC act DH . dupllea. 3 Dopa
Cad P. C, est aurem DFT b equalis FC; cum HIF Pa, bE
Eperbolam incer alympeoros AB, BC. angulum rectum continen-
Lres secerparabola BD E in D, habens axem BC, policaq C F. X
quicultance AB, ducatur per D punctummcerloctionis, linca. DI pa-
ralleta BC Occurrens C F. in S. lungancurque , SB, quae hyperbolae
occurlane inF _ (7; Ponantur aurem linca DF, FC1.
Dico conuexa Seomenta DB elleincerlexqualia.
11403
1C
rart SupO
1erigi c31
ce et BliH
loc
103
demonstratio.
BnaneuE DM. FL, OK Equidistantes AB; et BK quidem recta B R oCCUF. C 35. D
Fac in I: cruncisitur proporcionales continuxes QC, CtK, S C, id est DMI. quare Prabola
e dBM. BR, BC, lincx, adeoque _ DMI, CFTK, F C camdem COnLIMUANE La- parabol
tionem. ed etiam FK, FTK, D C, Fsune proporcionales) D NCigitur B sequalis estRI, SEx ele
etY punctum communis incerlectio eAt lineari D S, BH, HIR; VndC CONFINUIX L luNE mencu
c77. huius
nconuera DF, LChaequalia lunc. Ouoderat demonttrandum; 
tThhh
t
eut
8. B
proportionales ETR, F L, L M ascmencatam concaua, DL LM, L L CL Ga 1107. B
ittoclta
PKO.
C106. has