MathDB

An equilateral triangle

ABC

with center

O

and radius

OA = R

is given, and consider the seven regions that the lines of the sides determine on the plane. It is asked to draw and describe the region of the plane transformed from the two shaded regions in the attached figure, by the inversion of center

O

and power

R^2

. https://cdn.artofproblemsolving.com/attachments/e/c/bf1cb12c961467d216d54885f3387b328ce744.png

Problem Statement