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Sharygin Geometry Olympiad
2012 Sharygin Geometry Olympiad
13
13
Part of
2012 Sharygin Geometry Olympiad
Problems
(1)
Locus of concyclic points
Source: Sharygin Geometry Olympiad 2012 - Problem 13
4/28/2012
Points
A
,
B
A, B
A
,
B
are given. Find the locus of points
C
C
C
such that
C
C
C
, the midpoints of
A
C
,
B
C
AC, BC
A
C
,
BC
and the centroid of triangle
A
B
C
ABC
A
BC
are concyclic.
geometry
circumcircle
geometric transformation
homothety
geometry unsolved