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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 571, page id 1815201908:0628
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0b
12.
Iam
dos
2
et
5
LL LLCL
AsymptotoS e plat tu  nearum pra
cips o dodstanum exhibet proportionem.
AIDROPOSTTIO LXXIII
Sperbolam ABC incer alymprocosD I, FI consticuram, SecenE
duxe quanis parallela AH, BC, occurrences asymprocis in L, M,
V, O: illis aurem x quidictances ponantur AD, BC, CF, HI C.
Dico AD ad BF cum habere racionem quam HL6 ad C F.
Demonstratio.
erca sritie
AVM HO, LF aquidistene, 
Lxequalessune anguli OIIO,
OTD, icem OOFI, TDA:
Osten(x TUnE a aucem L. A;
FTO linea aequales, similia igi-
tut e xequalia sune criangula.
LAD, TIO O veidELATCFAAD;
GO. cadem racione Cimilia TunE.
incer Ce ex equalia criangula
M E. B, C FN; quia vero aequidi-
Z P
H
et
nise
sANE LO, MN, D A, F B SimI- =
d
lia quoque erunt criansula P AD, MF. B, icem HGO, CFN. Vndc ec laceribus
constane proportionalibus, _ AD est ad BF, id est G6 adLH, H 1C aC L.
Duod erac demonstrandums ou
PROPOSITIO LXXIV
perbolx F E G, aSyMPEOT PONanEur AB, AC. _ A C quidem x
Lquidistent DF s BF.
Dico FD ad FB candem habererationem quam AB ad AD.
Demonstratio.
5.tC
et
ol. 12.
rliganeur AF, AF: Ouontam
FD, FB aequidistane alymproco
AC. aequaliacruncberiangula AD R;
ABLi: quare e AO, AB latera
c proporcionalia Cune lacoribus BF,
DE. Quoderac demonstrandutu.
∞ 15. Senii
PR C