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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 745, page id 1815201908:0802
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=802
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000802.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.74
# 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.

 PL
Semonstratio.
VCantux quorcunque linCa P FOFI P
arallela ad BL. X AC, Ouo-
MtaH AL, BF linex circulum con-
cingurres de illis F F GI aequidistane, Cona
SaE CK CICIHCMI F F, F, G+, F. Ilineas ese
proporcionales, ee AB C eriangulum i(0-
sccles. inde eMe aqua-
les sunE, PerY5. isitut Hort ac Plosresion-
bus etiam proporeionales TuInE L F, FO
Contingane se excerius in C duo circuli aequales BC, CDE du-
ictaque BD aequidistance diametus  que Cuculos concingie
in B_ D, iungantuE BC; CD; aMaelet aucatuF B F M.
m
Arandum
GFT: Ouare L F ductum in GFT, Xqu2
le cA. PC dueto in sc. Quodtuir demo
Dico C H ductum in IH aequale este Corpori quod’exlurxit ex HIL
ducroin (c.
t
Demonstrat
anguloM CF, Ced anguliM CF, BCL tactune ecu: etgo d ahC BB C0B
Faciuncrectum. ergo angulus, B CD rectus CH. eIE ACM a BCM ACCIUS, CESO
MC, C D Cunerna recta linca. DCMaC CaM B. D cangar aequales circittos, paL CTI
Veantur quorcunque OFF TK L parallela ad B D, A C F, d d conractu pona
ene diameter BM iungaturque MC, quoniam in BD, A C parallelas incidie
milicer cum FC, FB sincXequales, etiam C FI, C. B aequales erunc. ergo rectanigula moncu
eisomnibus HII aqualia . 80Ma C I Cut duccummanum IX; proeros
IK aequatur planio HII, FII ductoin sc. Ouoderat demonstrandum. ot sust Bous
2d. ctte
BC, crit angulus C B D par angulo B. C F, e ob eandem caulam angulus C D B paF
B diameero BM. eroo ob criangulorum similicudinem etiam G L par est OMT. Si- B Exela
HOF rectangulis B CM hoc est quadraris C, I semper luncxqualia. Ieaquesem
per CFI, GL, CL Cunc in concintta actene, ts s rocta R L. aequencur linois FI I.
cciam C IT, HIL, IK c sune concinux, adeo que rectangula omnia) C FI, IK, quadra- cis. D.
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satisttttsss
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