MathDB

TOT 295 1991 Spring A S2 fixed point for lines

Source:

June 9, 2024

geometryfixedFixed point

Problem Statement

The chord

MN

on the circle is fixed. For every diameter

\ell

of the circle consider the intersection point

C

of the lines

AM

and

BN

and construct the line

\ell

passing through

C

perpendicularly to

AB

. Prove that all the lines

\ell

pass through a fixed point.
(E. Kulanin, Moscow)

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