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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 135, page id 1815201908:0192
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=192
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine
# Lines: 59 recognised, mean confidence 0.79
# 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.

dens
n H
Ecilet
Acera
AE
D.d
u
c
eries
rUm
celi
UI
G E O NTF F R IC. A
sulo AKM inseripcam elle.
quorum rerrices N, P, Q. dc. ates u  a
Demonstratio
ctuus demontrationis plane idem eric qui propolitionis prXCedCHIIS. Nat
quenao ue Del lellima illi propolcioni appolicum demonstravimuspro
palcutm, ica hic per lemmacis proxim appucacionem propolcionis verieatem con
cludemos.
YR eC. eAe continuas.
demma
INE AK; BR, CK, DR, ac. in continua atalogla; d differentiae illarum nem-
DC AB, BC, CD, DEi exc. Bileax Ape in aB, Y, erc. Dico eriam ak, BK,
Demonisa
ria AR, DK. C R, XC. line Concinuae per primam huius, AB cst 2d BC, hoc
1
ereste
VE EOTUM AR ad TOTuM BK, crit d teguu i K ad religUUM BR; VE Eocum
AX adcorum B K. similiter oRendemus BR esle ad g k ve BK est ad C R, tide
es exhypochesive AK ad BK, hoc ost ex demontas a N 2d bk. SuBL 181.
rur a K. BK X concinuse. Duod er de domonstranidum.
Sedencue poslcillo dlametris in dircetum politis; cerminum
L.Mabens longicudinis ponctum K: de ex K ducta linca RLM tangat
quemuis datae Ceriet circulum, rerbi gratia circulumi AM B.
Dicolineam IEM coram circulorum seriem conringere.
Cst Aa Ct ad BB, VE AK ad BK. cum ergo atilacum A a sic ad ablacum BB
eR O+ OSILIO BAKXIII
Demonstratio.
X Cc a ae cori-
Lcactum ducacur a M
linca, cui ex CenerO B
Parallela SE B Z SCCaNS
circutum BNC in H. 
ReCta IVIEUE MK OC:
curric ipA BX vel in
pOnAON, vel SUPFA aUE
intea N in P. non au-
cem supra aur intra pos.
sC OCCUErerC, sIC de
monAtrO. OCCurraE enim, s Heri porelE; lupra ret inFra NI in J. quonia
dancur circuliin concinua analosia; cuan pe 124,  AB, BC, L, 8c.
sunc concinux: ergo AB ett ad BC, M BC ad CD, hoc est ve BB ad C y:
sed e AB elt ad BC, ve ab ddbC; 186 AB MMd4 BC, siCaB est ad
Bg. Praecerea Guoma LCetus Cu PBSeoS BHOM AB, B C, XC: PeF CO-
rollarium 125. huius, erunc per 82. huius continuxe proporrionales AH, BR, CR,
DK, quare per lemma etiam aeR, BR, y K erun continux. ergo per primam hu-
ius ve aK adBK, SC est a B ad By. Hoc CA siCUE ance ostendimus AB ad BC.
hoc est a M ad BN. Acqui eriam eAt vE a K ad BR, SC aML 2d BL: CUHE CHIMI