# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0550
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0550?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 493, page id 1815201908:0550
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=550
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000550.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 73 lines, status machine
# Lines: 73 recognised, mean confidence 0.78
# 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.

aeum
2 3
BD,
13P2.
FE
6ad
10.
Piid
9u2.
11.
CAC
0
2d
i
b
cut
P AR A B,O L A.
Demonstratio.
Vn enim anguli A D F PONanEuE
recti, d D Blinca normalis ad AB,
rectansulis AB F. a aequalia sune qua-
deaca DB, id est F F: SCd ABF rectan-
sula illâ incer le leruane proporrionem,
quam linex B Fsigicur ve BE ad BF, AIC
F F quadracum ad quadratum F F. unde
BFF sunc b ad parabolam cuiusc lacus
rectum AB. Quoderae demonstradum:
PROPOSITIO CCXCVI
GECCNE A B C criangulum, reCtX quorcunque DF, FG, FI, RL: 1
Ldceri, B C, Parallela; hianc aurem continux proporrionales BC, KL,
AP: irem BC, HI, HIO: irem BC, FG, F N: denique BC, DE, DM.
Dicopuncta A, HI, NNSO, P, Cs csead parabolam
1e 2 17C BDpBCA
maheux IL m Demonstratio.
1d. 1.. 
Et sr1.
Voniam. B C, linea communis prima est, se-
Leiebus concinuarum B C, RF, RP: BC, TTI.
FTO: BC, E CFN, _C. rectangula BCRP, BC
HO, BCEN, BCDM illam Corciuncur rario-
nem quam habenclincx KP, H O, FN; DM. igi.
CUF _ quadEACA RL, TTI, FC, D F eandem quo-
que lcruant proporrionem: sed rek I quadracum.
ad quadrarum HIB, sic K A quadrarum est ad qua-
dracum HA, e re HII quadracum ad quadeacum
FG, AICH A quadracum est ad quadracum F A,
REC. igitUT_E quadrATA AK; AII, AF, AD IIam
habe racionem quam lincx HIP, FIO, F N, DM. PutS A, M, N, O, P ad inr.
sparabolam (unC.
PROPOSILtO CCXEVI
Sto ABC FHaH-
Lsguli lacus BC VE
cunque diuilum in
Dunctis D, E, F, C, iun-
cisq AD, AC, AF
AC, diuidaeur lacus
AB in purictis LL, L, R,
L sicur BC est dini-
Cum inD, P., dc. de-
miccancur aurem ex HI
II, C recta AIM, IN.
KO, L. P parallelx la-
ceri BC: _ HIM qui
deM OCCUFFAE A D in
MI; IN veroip(I AE in
N: dein REO, reCtA F A in O, e L P, ipS AC in P.
Dico A, M, N, O, P, C esse ad parabolam.
299
51
cii
P lo5 et
Demon
ii est     e tt   tt e et  t  tat e   e e     d  t   A    tt  e t    pet