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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 545, page id 1815201908:0602
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=602
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 81 lines, status machine
# Lines: 81 recognised, mean confidence 0.73
# 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.

5 IC
Aae
A3
ou
C.
di
BI
ed
aM
alo
de
11III
3133
R O
eaeeta atdt
D OS
t err. 3. 14B t .HC
O XV LI. ve
Ecta AB inter alimpEoros AC, C B, hyperboIX FG N consticuras
LCm  vertice diametri K C divisa Cicbitariam; ee AB quidem, 2
quidiltene Ot L, Guasatecet secta AII, aequidistans Maect.
Lno L Fi quadracis quari rect an sutq DIF.
Demonstratio.
AEYPE R BOL d
Ldam II, per quod ducta P HM;
aequidictaris AB; rectansulumi
PH M Equale Faciac quadraco A C
patet I punctum esse ina Perime.
crolectionis, de quia ff, PHL
rectansula, similia b suncrectanou-
lis RF. C _  C rectangula D LF
P Hnt proporcionalia luric quadea-
eis FL, HO: e DIF rcctanou
lum 24 quadracum FP, vE P ApI
reccangulum ad quadtacum 1C
equalia AUEE SUNE Cx CONARUCE. qu2
il Litear
racum HO iet CA AG, e FCCanSutuM PHIM, desalicur ixicur DL P reccaneU-
la quidracis FL. Ouod erac demonstrandum.
.
: 13
B R CD, 5 T. F. 1 C
Dicorectansula D F F Iticer se ae qualia esso, vel quadrate A s1 vrr
Demonstratio.
.31tii1s
Lquadrata quoque x qualia sunc quadraris P. L, via Cum rebrahgus is. 1 D L QuX
drata isicie L F vria cum recrangulis D F P, aqualia lunc quadraris L
ecrangulis DYB; sed F L. qualtracis, per precedemem aequalia sunc recrangula
DTESIBITUE _E DFP recrangula reliqua, aequalia lun quadracis IT. Id cAt AC
quadraro; vnde de iticer le Gaoque sune x qualia. Ouod ctat gemonstrandum.
LIIESGCNB Corollarium
ICPAEF LECFgS D E Cofetiminores, quo lerex sync à conringence Cba
prallela; papet e Ance dictioril.
2. I2 2H35. P 37. et adis   
92211 30 B1ULB2Z ∞. i
dViuluis litiergua in duo
enibus punetis Byscivra 
Sperbolam ABC ICCCE RECTA
quaenis A C, oporrecillius asen2-
re drametrum, polica A C equidistan-
ec DE. BileCeHEut AC, D E in C et fi
vonctis, per qua Fcera agacur BF. di:
nida   steqelt
coillam esre diamerrum quaesicam. Sn vero sic alia guixuis linea L FI diainecet; oc
Curpargue D P. reccX in HI: quia ipirur L. H diamerer eA aequi distanrium AC, DF
2:
bisecat
1
Scumpio in AF puncto, quo-
dem fo(ero: meinril eI. 2R. 43  132CI2118
Vadracis D F aequalia CuNERECLALIECIA DLE vna cum quadraris Z F; sed F F
aEur
. d A atceeg: 32∞. II 13830970
ia. Truiuis
B corolli 6.
2 dis rd
mutnsAacn.
t  M itS (P. cvauq noisit
CurrIE diaMMICCLMLA AIMSHaTC.
Constructio es demonstratio:
    s tserg      e     s  s6seI