MathDB

The inscribed circle of a triangle

ABC

has the center

O

and touches the triangle sides

BC, CA

and

AB

at points

X, Y

and

Z

, respectively. The parallels to the straight lines

ZX, XY

and

YZ

the straight lines

BC, CA

and

AB

(in this order!) intersect through the point

O

. Points

K, L

and

M

. Then the parallels to the straight lines

CA, AB

and

BC

intersect through the points

K, L

and

M

in one point.

Problem Statement