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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 566, page id 1815201908:0623
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.79
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566
a. 1. I 33c
1. 1S. I:
FLXIP F R BOIL. A.
rocle
demonstraiio.
ilvc.
e CB B CB ShIAB S (LC) ciis. BaI 21
1r
quea
Voniam per propoutionem 5s. C B a B K. candem rarionem obcinec; cum ra-
cione C F ad P C. isitur ex crigneulum C CB ad BC R. est ve criangulum
L6L. BMiM. E E D ad F. D L. sunc aurem BR C, F. D L criangyla ostensaz xqualia; igicur B C
erianoulum eriangulo CD P CA aequalc. ac proinde rocum criangulum C+K C tori
criangulo DOF. Duoderac demonstrandum.
et oit. 3 lic D P R O POSIF1O, 1 L Z IV. D,0ICtC
IIdem polris ducatur CB occurrens G H alymptotoin M.
L Dicorraperia GBCM, CED M eNe incer sc aqualia.
661. Bwin1.
Demonstratio.
=Corolis1. VVT. FTK ad F L. 5. b sIC HC ad, HD: ixicur iuncta CD aquidistAE L K siue
haius.
ICBR,Siuc alrmpcoro GI. inde CD d in M bitariam est diuila: _ C CM
C DM criansula aequalla i ostenla lunc aurem in priori propolicione ae qualia trian-
Bula BC. G, CD P; Trapexia igicuE, C1B C M, G FD M incer (C AqUAnCUE.
ce sante
loc est.
Corollarium.
C++. huimI. T TINCPATCE DE YBCM, P TMD crapezia cNCincer se aequalia: est enim B P X
Louidistans alymoeoto eT, adeogue in Y bitariam divila, onde CB P, C TB
criangula xqualia sunc, quibus ablatis MABENE B PM C, P. P M D etapezia X qualia.
PR O P OSITIO LXV.
Idempolitis BiSCCENEFE D, B C in N e O, iunSanEuTque CO, GH.
Dicoillas diamerros esse coniugatas.
15
Demonstrario.
Vncta NO occurrac lectionibus in P _ 8. A Sympeoro G H in R. quoniam
oroll. 61. LF B, C D, linex Faequidistane, _ F D, B C productx, BOCCUTEANC FT C AIYMPTO.
Coroll. co in vno eodemque puncto, recta, NO bislecans BC, E. D lincas ceiam aequidi.
perrio 62. Aac ipE R B: vndc NVR, RO linex aquales; lunc aurem de PR, bR O equalesi
ast tu. relidus isitur NP, 3O quoque aequales sune: quare CN, C) O. diamerri sunc
hujus
uc.
conimenta. Guodeeue demonteraneum.
15+. haius.
ins.
PRC