# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0264
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0264?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 207, page id 1815201908:0264
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=264
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000264.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 recognised, mean confidence 0.76
# 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.

CIR CVL V S.
PROeOSITTO LXXIIL
F ABC seomentu circuli, cuius AC Subrenta, LCCCLCL ECCLA LD
Irrence AO in F ve angulus AF F SIE aGUaIIS LIIGHIO LCGMIenEI
BC. ducta deinde ex A quoruis recta AL occurrant pet MertO M B.
3CI S.lC
Demonstratie.
uclune
ad 1
ae AC
e L linexMM L
erum.
BC. B1
jusM
AMete
FIIIII
I per
10
12
esti
21
EXII
secet
L61
t
11
21
7
Dicorectangula F. AB, incer (c esse xqualia.
Voniam aequales sunc anguli AF P, ABC, ec Compiunis anvulas BAC, (-
milia igitur existunEErIANSUIA AFF, AB. C, vnde ve A D ad AF, siC A B ad
AC, rectangulum igicur C AF rectanigulo P. AB a xquale cAt. quare e rectangu. 217. sexro.
la E A B, inter se sune aequalia. Ouod tuic demonstranidum.
R
elsi 22L doa a e
AF omentO AB C inscriptierianguli A B C lacera producta exhibeant
Dcriangula ABC, C AF habenria hy guloS D AC, AC F lingulos
angulo legmensi equales.
Dico quadrato A C, xequari rectan gulum AIC F..
Demonstratio.
Voniam angulus AB C aequalis cA D
alo D AC3 e AC B communis
exiaSuS ABC, ADC, limilia crune
riansta ABC., ADC. codem modoh-
Macaehcer crianouta ABC AFC.
ue ADC triangulum limile eAt crian. 1I
ulo AF. C, U DA, AC, C F. laterS
coportionalia: vrideb A C quadraro xequalo eAt rectangulum D A C F. Quod bIbia.
ic demonstrandum.
aetBEI KLI.
Dico quadratis AC, BB, aGuari AD, CB, quadraca.
Ccurranc inuicem ad rectos in circulo ABC linex AB, CD, in F.
Piunctilque extremis, ex surgat quadrilacerum ACBD.
Dem d