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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 647, page id 1815201908:0704
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=704
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000704.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine
# Lines: 66 recognised, mean confidence 0.67
# 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.

otu
PrO.
riba
nun
Sr
FM
FBF
qua
6l.
Im.
AEd
ine
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Par2
cu
recl
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2
boli
ele
1.
HL X. P F R BOL A.
monstr
1231
ute
C2t 5. L. 7 Cd s. 1SC)
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C i i catis
SECHIUM CIEFECTAHBCIAI DD EL ad B D R. recrangulum eandem haberCFA-
ionem, qua receangulum CDF ad CD F recrangulum: sed quadracum
DF cM dd DF, quadeacum ve rectangulum CDP ad C D F, recrangulum; iBI
cuE etiam quadeatum DF a DE, GUAAIATAM FACIOMCI CONHIHCE CAHACIM CMIM La-
..2
Onacur AB, axis parabola, D R F. ad quem ordinatim potutis CH
expuncto quouis axeosE, hancrectis F, aqualosF, HI
Dico KH IL esse lirpcibolas oppositas.
Demonstratio.
11
D1
BEF, IL LM
1d
tet.  s R eiu
ccrangulu. est iraque B F. P hypexbola, Quod
di et Ct e 20 24110i
dc
tione rectanguli AD B ad AD
tuic demonstrandum. oil ail
eA CL IE CMMLENALSS PR O P OSITDTOIC
DOnatuF ex C guxuis G C, OcCUErenS AP concingenri in L, L LKMHCISMLIV.
ducra aucem per C, linea D F parallela CF, POnanEur per D ex F, IIHCA V
Ft contingences parabolam: quoniam igieur CC vel EF quadraris, aequalia IaNE
QuadraEA REI vel FTT; SinE aurem FTK quadracis aequalia quadeata C FT, vIa CUM
rectangulis RC I: quadraris vero CFC aequalia sine quadrata CFT, FTCF: demptis
communibus quadraris CHI, aequalia remanene reccangula RCL, quaalts L1.
isituE VE FTG quadrarum ad quadeacum FT 9, id est OD quadracum ad quadrarum
OB, SiC K CI. reccangulum ad reccangUIU K C L. quia verD OD, P. P Concingune
Parabolam, re ODa quaclearum ad quadrarum OD, sic OC. P recrangulum clt a87. D0
ad rectangulum OCP, reliquumigicur K OI reccangulum ad K OI, est vequa- paradn
drarum OB, et Gladeatum OD. quareb oppolicae lecriones (une KK. II.
PRO.
E.X34.
nina
NMNN 2
se
11II
ettrte  t et tu et   at