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Mexico Contests
Mexico National Olympiad
1988 Mexico National Olympiad
6
6
Part of
1988 Mexico National Olympiad
Problems
(1)
A,B,C on a circle, B,C fixed, A moving, find locus of incenters of ABC
Source: Mexican Mathematical Olympiad 1988 OMM P6
7/27/2018
Consider two fixed points
B
,
C
B,C
B
,
C
on a circle
w
w
w
. Find the locus of the incenters of all triangles
A
B
C
ABC
A
BC
when point
A
A
A
describes
w
w
w
.
geometry
Locus
circle
incenter