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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 599, page id 1815201908:0656
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 73 lines, status machine
# Lines: 73 recognised, mean confidence 0.78
# 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.

n este
IXL.
inet
AC
X rd.
Inun
2igi
ho
ip
Co
ud
Eret.
ACI
HY P F
ad FTD. Similitet racio IE ad FFD
duplicaca eA racionis K Y adIF, EC.
sed planum EIC cories continec pla-
num FIF, 2quocies racio HD, ad
CC mulciplieat rationem IF ad
EIDi duplum isicur est IIC planum,
plani TIF. Similicer ostendecur pla-
num EIF duplum esc plani IF, C.
Duare proerectio hic est planorum
in proporrione dupla. Duia vere
CAplani EIC; planum isirur dM C xquale est cori seriei planorum HIC, ID, KB, c 129. hu
XC. hoc est linea I. M cerminus est prosressionis planorum. Cum ixicur proexestio ius.
lincarum BC, BD, BP, eC. iuxta proportiones ance policas concinuata, progres. d8s. D
rogressionin
sionem planorum perpecuo conicetur, eius quoque cerminus erie punctum L. F2- bus-
aum isicur eA quod peccbarur.
PR ODOSITIO CXXXI
BE BD, BC, adc095 b _ C C; H D, NF, proporcionales sunc, planum cNI C duplum B38. hin-
t a  GpCata Cattomo D ad C. Tacto uoque B ad C.
ac, cl. Guantus naepiostemo Concudeent in intinuum, non ve-
niecur cameti ad mggnicudinem daca minorem, vei in libro progcestio-
humpropot. conringese demontsuimus in eiusdem rationis conci-
nuarione.
que in cali prosrestione dari
Postune.
deinde aucatur LM dip
eo aequidistans d Iltalis ipli A
gancut aen , 1, ael. Pacancra apiolo al. nMad ee
eha
cur planun R. age  C Plaoa L, N, FS, ac. letret M PCoPOrb.; 85. Depro
duplicararationis C, ad D, vei de rario C ad D, duplicara rarionis
Oporreac erso exhibere lineam, quae sic minimaomniumlingarum
tic dC
Constructio es de
ostra
Onstimmaneur III, TTK a-
symprorihyperboleLNFK
1
1I1D. B3. F OE C
hacqueve A ad B: Ita YY D ad HM. d BE B ad E. Eta HO ad HEB, _ C. eri
ATO ad HIM; hoc est ex contr. ve A ad B. _ NO ad PG. vEFT OdFFO, hocin
est ve B ad C, e sic deinceps. Fiac denue de m a na 11aAK. ∞
CrITAEUE R R parallela alymproco _ mmmam esse lineam, quae le-
Bic. CaII Cm Lacio L. M ad O. depacc ex discursu duarum pexcedertuau au-
plicaca MtaiOS NO de L L. Plane. LOdupium etre pran Nes: Mmme d Les. 
atile acca ca plach 8i d 0 de caccris. lgicul iaperhelerum L.
riem dupicala tactons L.Mm a 10, a 2ad . e sic in intinicumea
Od dSc. leriesprocedicin racione alpla. qua vero HM. HlOHR, Sadcoque ins.
e sel. B..M luncprovorcionales, planum L. R duplum est plani L. O. igi- n 129. B
ne dupla concinuatae: erso R K erir Kcerminus prosreMonis linearum L MI, N O, pressionibus
P DC. Sed lincx L M, N O, LNuC. Mm LGlCS HIMCI A, B, C _ CC. C_ 1I. KEX125. a
es. sconto
nex LM, NO, PO. _cC. GvcsinciS A, B, C. D supra proporcionaleS, et PrImAL M bu.
agguo lcfectia L   Ca Mcura Ahcarum R. B. C, dec. linc cerminae
serieat. dupticalae racionis A, aet B. B ad C. in infinicum consnunca, txtibur nus
Bicur, C. Duod LASETE OPOrtEBAE.
1 115
388
a