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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 188, page id 1815201908:0245
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=245
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine
# Lines: 56 recognised, mean confidence 0.85
# 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.

3. sexii
11. de
rossionibus
1. depro
5. 1b. ac
111011.
L YS
Corollarium.
a quiblis da C de B duaxe lincae, angites AFB, AF B bifarianmi sccanE, problema
Coluuncinam an susIo AF B, AP. B, divisis bitariam per rectas F C, F C, crune AF
ad FB, _ AF ad F B vE HC a C1.
ressionibu
32 bouitt .
N idemrecidic, codemq: modo Coluieut problema, quo ijdE postispecuntur in AR
linea extriberi puncta F _ F, ad que ductis ex C e B lincis; AanE AC, CB prO.
portionales rectE AF, FB, AE, E B: inventa enim per praecedencem puncta F _ P
P
PROPOSITIO ZXXLII.
Dico AB ad BC candem rationemobrinere quam AF ad F.C.
sE BF F circuli diamerer B F. producta vEcunqUC in A: ex qua sCCAHS
BaEUT A F: _C CxF, reCtA C F, VE AF siC ad FC, SCur AB ad BC.
ementsorit
VngantuE DF, BF: cumigicmr SF
AF 3d F C vC AB ad BC, crune
anguli AFB, B
C aqualeS; RUr.
sum cum D F. aequalis (ic D B, erunE
2251SCD.
concinuta analo
8ia. vnde AB est ad B C, veb c AD
id BD. _ cum D E recta (ICXquA
is DB, eric ve d AB ad B C ica AF
d F C. Duod tuit demonttrandus
PROPOSITIO LLLLI.
IE AB ad BC, vE AE ad F. C sieque B L. dimila bitariam in L
Dico AD, BD, CD Fore in conchua aBalogia.
C27. huius.
Demonstratio.
 CeuS. centrO
incerualo D, e eri
gatur C F normaliccr ad AB.
ocurrens circulo in F. ducan
EUEQHCDF, AF: cum isicur AC
AB ad B C, VE AF ad FC
cxic linca c A F contingenscir
culum, vnde AD, BB, CD
Elinex in concinua lunc analo-
sia. Ouod crac demonctradum.
PROPOSITIO XXXV.
E AB recta, per cenerum circuli C F D ducta; HaF AUTCM VE A C al
BF, C F
Dico AC, CB, d AF, F B, proporrionales esle linens.
muenies hanc in libro de lineis proposssione quarsa vel quinta aliter demonstratam.
D, ita C B ad BD; _e ducta A F secanre circulum in F: iungantuT
Demon.
qus eu u ui u tet e  te  q e  tet e pi ee e    pe e e te e e et et u e  ut e   t t ste e e tet e e e te et  e e   et le et ste e st e  1 .1