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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 332, page id 1815201908:0389
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=389
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.82
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

610bo
huius.
f21270
DF X I La
Circulum cum ellipsi comparat.
P R OPOSTTIO CLZVIIL
ABCanE AB C ellipls, ex circulus AD C communem axem A C,
ductague ordinatim FF, occurcat circulo in F ex ellipa in G: inn-
GANEUEGUE AF, AC. dein ducta D EI parallela AF quae circulum
contingat in D, occurracq; axi in Hls demictacur ex D ordinatim linca
D I ad diametrum AC secanS Clliplim in B _E A F, A G, in IE _ L: iun-
sancurque HB.
Dico AC lineam aquidistare rectae HB.
nea lune patallera. bdea o
Demonstratu.
EF C ad RF, sC FF
ad IK. SCd aVEF C
2d F F. AC TB eA ad ID
igicurve IL, ad TR, siclB
ad FD; _ PermutanO ve
TK 2d II, SiC TF ad lB
CA aUTCM VE IK aa LD. SIC
IA ad TFI (quia AF, FL
ex hypochesi aequidistane
isicur ve TL ad IB, SC L A
e LIL. HCatC 260L2B 
PR OPOSTLIO BLAIK
IncABC, DCF cliplessimiles, limilicerque ad idem centrum lcon.
AicuTE: X SupCF AC, DF diamerris, circuli describANEUE AGC
DFIF: ponatur aurem ex centro quaedam lK occurrens circulis in L. et
KC, purictis, Equibusnormales demistae L. M, IEN, SecencellipsEs in O
de P: ducancurquelince 1O, OP.
Dico esse re IL ad L IE, lic 1O ad OP.
Demonstruto.
Rigatur ex Lcentro normalis LGO1.
currens ellipsibus in F, B; crcuHSVC-
rd in II e C. Ouoniam exM circuli
AC+C; D FTF quam ellipleS ABC, DLF
Similes lune similicer que ad idem centru
consticurx, ve LC da IB, sic IHI est ad
LE, led ve OIad BL, sic KN ad PN
u    e t es ee tete tete t t e  te  e tt  t te te pete e te peste tete  t ate e  e 1  t te  tete A t  t  te  et  tit      t ite 1e   e e  t