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National and Regional Contests
Russia Contests
Sharygin Geometry Olympiad
2023 Sharygin Geometry Olympiad
10.4
10.4
Part of
2023 Sharygin Geometry Olympiad
Problems
(1)
find locus of points A2
Source: Sharygin Finals 2023 10.4
8/2/2023
Let
A
B
C
ABC
A
BC
be a Poncelet triangle,
A
1
A_1
A
1
is the reflection of
A
A
A
about the incenter
I
I
I
,
A
2
A_2
A
2
is isogonally conjugated to
A
1
A_1
A
1
with respect to
A
B
C
ABC
A
BC
. Find the locus of points
A
2
A_2
A
2
.
geometry
Sharygin Geometry Olympiad
Sharygin 2023