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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 38, page id 1815201908:0095
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=95
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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 0.82
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

iscundi
b bid.
1bia.
22bid
E LN F A R V M
estrectangulis AB CD, CHLB, DB H. Glare tempro communirectangulo C ABi
aequalia remanene CB guacum tud cumrectansulo ACB, rectangulis ABC. D.
DBA, id est rectangulis ABCD, BDA, rna cum quadraco D B: ablacis igieur
aequalibusrecla s BDH, ACB, mance CB quadratum, aequale quadraco
DB, id est AC aCccaalo ABCD. Duod fuic demonstrandum.
P R O 1OS. IFIO. LVIII.
CTFerie A D linea, divila in B
L. _ C, ve AB CD linCx (INE
aequales; lumatur aucem inter B e C, punctum quoduis F;
Dico A ED rectangulum, aqualcese rectangulis G F A, F. B A, vna
elat lacitale tit.
Demonstratio.
Ectanguium AF D, aquale est FCCLanguliS A ABF. C, BL. C, BF CD, vnX
Cllin quadraco AB: lediildem, xequalia sune reccangula AF C, AB1 ia
Cum quadraco AB; (quia AFC, b aequacur rectangulis ABEC, BF C) igicur
AF D recrangu aguale eit recrangulis CF A, F B A, vna cum quadraco
AB, Ouod crac demonstrandum.
LLOTDSITIOLCA
ctangulo CAB, igitur quadrarum A B, aequale est quadrato CB, una cum re.
ctanoulis ACB, C AB. Rursum A B quadracum, aequale est rectangulis A B CD.
CAB; DB Ai igicur quadracum C B, rna cum rectangulis ACB, C AB, Xqualc
Dicorectangula AVC, AF. C, DBF; aequalia esse lectatss
Fuerie AC linea, vecunque dinila in D, B, F.
e, 13BBADFC.
Detaot.
DFcranoulum ADC, AGNAIE CH TCCLAHZUMo ADB, C ADBK. ADZ C: 8
LF C rectangulum, d aequale estrectaneuS CLB LLBB CEDa; guace
AAdIEO RCCEANDMIODBE, CTUNE ADC, AE C, DB P reccat Maa Guana lCClat
lis ADB, ADBE, ADBC, CEB, CFBD, CFD A, DBF. scd _ ABC
recrangulum, aequale est rectangulis DBF, ADBB, CFBD, C E D A; addicis
rectangula, aGuaa reCTangUliS ADB, ADBF; ADF C, CEB, CFBD.
CDDA DDF. Ced _iildem rectangulis, octenla lune xqualia, recrangula ADC.
AF C, DBF; IgituT reCTangUIa ADC, AFC, DBB, aequalia luncreccangulis
igitur eccangulis ADB, BFC, ADFC, crum ABC, AVB, BCC, AVCC
ABC, LDB. DBC3BC. adu demonstrandum.
Leolt L
Fuerie AB linea, diuisa in quinque partes equales, punctis C, V.
OGCB.
Dest.
eiqueuis in directum adijciaeur G A.
Dico CD quadrarum, Elale ee Gladtato AC, ita cum rectansu
 u que u i e u et e . e e   e  s e pt p te u  1uu e  u e pt e  es u p e e ei pu. e  e 1et e t 1 tu a p te  e  e A p t  te pl pute es t