MathDB

older geometry

Source:

June 22, 2006

geometrycircumcircleperpendicular bisectorgeometry proposed

Problem Statement

Two circles

k_1

and

k_2

with centers

O_1

and

O_2

respectively touch externally at

A

. Let

M

be a point inside

k_2

and outside the line

O_1O_2

. Find a line

\Delta ABC

through

M

which intersects

k_1

and

k_2

again at

B

and

C

respectively so that the circumcircle of

\Delta ABC

is tangent to

O_1O_2

.

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