# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0151
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0151?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 94, page id 1815201908:0151
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=151
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000151.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.74
# 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.

   A GAII.   B IHI
EUTOD, E E, FF.
R O GI RIF SISIION ES
IY S ls oqin
demonstratio.s
2. Let Be lel 3it, d et
. 3CLAOB LBCLSOq aus oliri
Vin AB coneingat cireulum, erie
a rectangulum DIA F Rquile qua
deaedt A B) hOC es gHAdFALO AR. Vn-
de D N) F A, F A sunc coneinux pro.
Portionales. Similicer reliqua omnes li-
nCA I A, P A, F Al erunc in concinua
aralogia crianguta IBIEUFD ADS F A F,
F AF b etiam in concinua sunc analo-
Ba. Quod erat demonstrandum l
L 
rectet
de expuncto a, ductis quorcumque lincis, secanribus AF C. D iungan
136. Fereis.
32. tovin.
Dicorrian sula inde naTA D AD, E. H C, F A F. esse in cocinua analogia.
idea sa
de05]
AB, GFI: X expunctis A, GCdUICANEUT SCCanTES ACD, AFF, CIK,
BILIMS
toa
Sersteeh.
25  SI A il 12 a1 D
36
Vos circulos inaquales eBD, TIL, concingane aquales linea
porcione.
GML concinences ansulos aquales E AD, LOK: iungancurq F C,
ED, MIL. B
Dicorcciprocam esetriangulorum F AB, YGL: HIIO, FAC pro-
Demonstratio.
c. Xcrius. CVoniam tansentes AB, GHX aequales sUINE, PAVEF C rectuS DHC, L
14. 602e1.
xequalia cNC: isitur SE ratiONES A D ad R C, d IG 8 u I qualeS SUnE.
Similicer cum rectangula F AF, L. C:M, x qualium cansencium Guactacis aequencur,
incet se crunexqualia; quare ex rariones P. A ad C Cn MC ad LH Cale; 12
tiones, F. A ad L C MC ad. F. A, crir racio compolica ex rariombus A 3a
RO, a P A ad Y C aequalis compolica ex rationibus IC ad C A, _ M al
ceribus tabeati a  aui.
isicur racionibus aequalibus AD ad. K C, _ I. C ad C A, aequales addaneuT ra-
F Aihoc est rario crianguli F AD, ad T CK criangulum xqualis racioni criangule
MGT, ad. F AC criangulums cum ob angulorum AC xqualicarem, rarionem ex la-
=PRO.
   e e es   e  t e u t t e su e sta u 1   ues t e e eti ui s  e e is  .      e  t  e    p t 1