MathDB

geo config of venn diagram

Source: Yugoslav TST 1980 P1

May 29, 2021

geometry

Problem Statement

Circles

k

and

l

intersect at points

P

and

Q

. Let

A

be an arbitrary point on

k

distinct from

P

and

Q

. Lines

AP

and

AQ

meet

l

again at

B

and

C

. Prove that the altitude from

A

in triangle

ABC

passes through a point that does not depend on

A

.

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