MathDB

Sharygin CR 2019 P5

Source:

March 6, 2019

geometry

Problem Statement

Let

A, B, C

and

D

be four points in general position, and

\omega

be a circle passing through

B

and

C

. A point

P

moves along

\omega

. Let

Q

be the common point of circles

\odot (ABP)

and

\odot (PCD)

distinct from

P

. Find the locus of points

Q

.

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