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2
<APB = < BPC Locus
<APB = < BPC Locus
Source: OMM 2007 2
July 19, 2014
trigonometry
geometry
circumcircle
angle bisector
geometry unsolved
Problem Statement
Given an equilateral
△
A
B
C
\triangle ABC
△
A
BC
, find the locus of points
P
P
P
such that
∠
A
P
B
=
∠
B
P
C
\angle APB=\angle BPC
∠
A
PB
=
∠
BPC
.
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