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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 569, page id 1815201908:0626
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=626
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000626.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 69 lines, status machine
# Lines: 69 recognised, mean confidence 0.75
# 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.

op
OB
est
cum
1d
1C.
Am
id
ati
SFC.
dea
de
Tuis
H.
ED
u
re
CH.
XH
R, B
1l
EB.
CH.
1111
ET Y D F R B O L LL.
KHI: adcoque e diumecti F. HV. E M, diamerris F. B, K H prop.
crac demonstrandum. L
calun_ Br i10rgcP, R O. P O SiLiHTII OIOL X
1eou
1 1(HCI CI A 1ASSHBZVISAOQ MMEIII
ca dende quauis ordinatim ad axum AB recta lK L Lcalual M
lirer ordinatim quaevis OM, ad diameerum F. F:
Dico FMIE rectangulum, cam rationen habede ad rectangulum
AHB, quam habet quadrarum O M ad IK quadratum.
AGC EMMSHSLINB S_B CEE EDNITHCM Il 25 1431C
icou Demonstratio J. L EMSVIIDC
oBBaTCl ACit 99OCIM
nge senim rectanguti A RB a qua. 
3111. IV
Ligearum RE Facio eadem cumrario.  A Bi
nie linex AB a laceris cransuerR ad Ja L ulny
cus tectum, id est eadem cum illa qux A e1
b est quadraci AB ad quadracutri CD. vI19))
Similicer racio rectanguli P. M F ad qua-
dracum OM eadem est cum racione
F. F laceris cransier(I, ad laCuS Cuum Ee-
atum, hoc est quadrari P F ad C: HI quadrarum: ledrario quadrari AB, ad C D
eadem est cumc racione quadraci P. F ad GFI. Igicur cciam racio rectanguli AK B cc9. huim
ad quadracum RI eadem est cum racione rectanguli BMF ad MO quadracum
unde permucando constar vericas proposirionis.
P R OPOSITIO LXKI.
VInCOpPOSEX lectioneS DF F ex diameM GuIa cunque L. B, VV. DC-
inee ad alcetam quaenis dux applicencur ordinarim, AI. RL; de hac
ve F. B all BL, Ia BG ad GMI, e ve BL ad BI, ita CMI ad G PF
denigue ponanEuF MN, P C. ordinarim ad diamerrum DC.
Dico LEL ad AI eandem rarionem
habere quam M N ad PC.
5
VIncaxes AB, CB, Ces ComLI diametrorum R F, GH: polI-
F
Demonstratia.
oniam P I, DP linex proportionalicer
deacum, De MN ad C Guacacum. vndc
pacet vericas propolicionis.
LIn L.L. B, icem P, M. C+ divile Cune, ce.
ctangulum E. P B ad F. IB, cA DE D M C 2d
DP C, hoc est quadracum R L, 2d AIqua-
CCCC 3
es e  eee esare ane eoer a so ero