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Sharygin Geometry Olympiad
2006 Sharygin Geometry Olympiad
2
2
Part of
2006 Sharygin Geometry Olympiad
Problems
(1)
perp. bisector of AB passes through fixed point as A,B move along 2 circles
Source: Sharygin 2006 VIII-IX CR 2
8/22/2019
Points
A
,
B
A, B
A
,
B
move with equal speeds along two equal circles. Prove that the perpendicular bisector of
A
B
AB
A
B
passes through a fixed point.
geometry
perpendicular bisector
circles
equal circles
Fixed point
fixed