MathDB

A circle

k

is drawn using a given disc (e.g. a coin). A point

A

is chosen on

k

. Using just the given disc, determine the point

B

k

so that

AB

is a diameter of

k

. (You are allowed to choose an arbitrary point in one of the drawn circles, and using the given disc it is possible to construct either of the two circles that passes through the points at a distance that is smaller than the radius of the circle.)

Problem Statement