The formation of a circle inside a circle.

Author:
gilad
Topic:
Circle
An arbitrary point P is selected inside the circle, from which straight lines are passed to the points A1, A2, A3… on the original circle, and subsequently the division points M1, M2, M3… are marked with a constant ratio on the formed segments. It turns out that these points are located on a locus with the same shape as the original locus(circle).