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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 18, page id 1815201908:0075
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=75
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000075.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 63 lines, status machine
# Lines: 63 recognised, mean confidence 0.87
# 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.

 ua pu n ur u
L IN F A R V M
219.  in. Miam isieur A R est ad CL, vE AB ad C D, eric a relioua BK ad D F reliqnam, id est F
319. G
linec, dec.
GFIadEII, id est per constructione AMddC N, eric b M B reliqua adreliquam ND,
VE AB ad C D; Ouod cA conrahy hC, M. Duare ne que ordinarim demi porerunr
Ticdem polcis; neque addicio reciproca
feri poceric. addancur enim lince D K. BL.
secundumrationem F ad F, et s heri pol-
SIE, AEA L ad CK ve OFTad FTI. cric igIeUE
AL ad CK, VE AB ad C D, e HL reliqua
2d religuam DK, rE AB ad CD: quarc
BL maior quam D K. Ouod est concraty-
Pochelin. Vnde addirio reciproca heri
nOn Pocerit.
Pocerunctamen decrahireciprocelinex
in ratione F, ad F, verelique rationem obrineAnE
GTT ad FTT: FaC enim KL ad ML, VE GFT ad
TTI, crectiIque Cx R _ MI paralleliS RO MN,
quae aequales sinc lineis AB, CD, ducaeur recta
ON; occurretilla lince KI in I; quia OL est
ad NL, VE O K ad NM, id cs re AB ad CD, id
est EFT ad FTT; id CAEPEF CONStrUCTIONCI VEKL
adMI: dein OP facta equali ipA NL AACVEF
ad F, (ICK O adM O, ducaturquerecta O P: OC-
curret illa lineis OK, NM, quia ratio OL ad
N L, id est O FI ad FII, id cs raTIO RE ad NTL,
MInOE PONITUEFaTIONC F. ad F, id cstR Q ad M O:
adeoque MO lineac minor rectâ ML: secerigi
TuF P O linca, rectaS O R, NYM in V _E Z: PATCE
V M eNc ad Z R ablacam ad ablacam, VERO ad
M O id est F adF: X NV essc adO X, reliduum
adresduum, ve N P ad OD id est CFTad FL
Addi etiam porerunelinex in ratione F, ad F,
reminor veriulque rationis habcat ancecCdenteS.
Factâ enim RR aequali ipsi MO, ducatur recta
PR: occurret illa lineis OR, NM in S _ T:
quia ratio MI R ad RR, id est F ad F, maiorponitur ratione G FT ad LTT, id est N P
ad OP. VndC PAECEMI T ese ad R Saddica ad addiFaM DE M R ad R R, id est F ad
E, et NT esse ad OS, compolicam ad compolicam, ve N P ad O P, id est C, II ad FI I.
15. Siciterum rario AB ad CD, eadem
R cum ratione OFI ad FTI, Gux maiOE SIE
ratione F adF; dico ordinacim addi, nec
demi posse lincas, in ratione F ad F, Ve
compolice, vel relique, racionem hrabeane
EFT ad FTT, addancur enim linca BK, DV
in ratione F ad F, de E Aeri polSIE, CIE AK
ad C L, VE GFF ad FTT: CFIEIGITUIF DE AR
ad C T, SC AB ad CD; vnde _ BK 2d
DE, id estper constructionem F ad F, ve
AR ad CF, id ett CHL al ILL. addest concrahypochelm: isitur ordinata addi-
AE SC A R ad C L, D BALaCSLA CIHLHHUT AR ad CL, VE A B ad BC, quare _BR
ad I. D, id est P ad F, VE AB ad C D, quod eAt concrahypochesim isitur, etC.
Neque
adF, VE A R ad C L, id cCt exhypocheli OTTad FI L. Ouod est contra Suppolicu. Ouare
ordinaim addi non porerune linex, dec. Neque dernipollune linex in racione Fi adL
ve relidux rationem obcincane CFT adFIL, auferantur enim linea MIB, N D in ratione
E adt F, dc (IBCri pOMIE, (IEVE OTI ad FII, SIC AML ad C N, CuigIEuFSEVE A B ad C D, (1∞
c10. D) uino
cionon continget.
Fodein mododecrahantur ordinatim BK, F D, in ratione F ad F. ex S heri pOL
pi ui  i su suie a pt sui u eset tis ae i e  ur  e i  in e p     tu e e p    ap  u   m mup