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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 923, page id 1815201908:0980
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=980
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine
# Lines: 53 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.

LAppE I
AEOMEFRTCK. ~
A ad B, _ C ad D, sed ex iildem cacionibus componicur ratio receanguli F L
ad FXT, cum sinc similes rationes KB, F F de amtes quoque linc rarionese
eLL. il Cclathcea Palcto demmonstracio contar.
exOP O51F(O CVI
Adehpolucis.
LDesteclangulum AHIese ad cectangulum CiB, re F. D rectangulum
ad FC rectangulum.
Demonstratio.
ctangulum GB, racionem
habet compolicam ex racione
A ad. B, hoc eAt F ad F, 8
exracione II adC, hoc eA) D
ad C; ex quibus etiam com-
ponicur cacio rectangulorum
F. D, FC. ergo rectangulum
AHI est ad rectangulum CB vE F. D rectangulum ad C B. Quoderat HeMBullran.
dum.
PROPOSITIO: CVILnoian
d
Q Ectangulum AHI ad rC
Idem positis:
Dicdtectangntum AC ad BHI rectalisuum, Cande habete Ld-
cionem, quam Lectangulum P. C ad rectangulum FD.
biltblsoratib
Q Faanguli AC ad BH, rario est composica exratione A ad B, e G adHI: ex
Ex lacione F ad F, B0C. CA A ad B, e exranoul C. dd D, hoC ctF C ad YI. Patet
iraque reriraspropolirionis.
PnOPO5111E1t
illis iplis aurem racionibus componitur racio rectanguli PC ad FD, lCilicce
il 1.
InRTaCONES.
lionem Comrinuare.
Dico quadrarum A, rectangulum BC, quadratum D eagdem ra-
Vadracum A ad BC rC.
Letangulum compolicas
hrabet rationem ex A ad B.
hoc est C ad D, _E CK A ad
C, hoc est B ad D: rario
quadralum, composia ex isl.
aurem rectanguli BC ad D
dem est rationibus, scilicet C
demonstratio.
l.16,3320316
1t 2Bai
ViB. idoc3oqd
0s CD 1.
ad D, _e B ad D, manitenum. B.cu Mtrariones crium harum
pancicacum este s-
iles, ACpFOIIdSCONEIHHAFITAEIONEI CALUNdEM QUanCITACUM.
R
e te i p e. u sti  s  p u etus e sti t st ui et e    e t ete       ue    stir e ad  tt ee t t