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ASU 014 All Russian MO 1962 8.2 locus

Source:

June 17, 2019

geometryLocus

Problem Statement

Given the circumference

s

and the straight line

l

, passing through the centre

O

of

s

. Another circumference

s'

passes through the point

O

and has its centre on the

l

. Describe the set of the points

M

, where the common tangent of

s

and

s'

touches

s'

.

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