If the given point P lies inside a circle C ,with center O,the circle of radius OP about P intersects C in two points. How to construct point P' inverse to point P with respect to the circle C by the use of the compass alone?
This question is raised from page 144,What is mathematics—2nd Edition
The following content is stated there:
“If the given point P lies inside C the same construction and proof hold, provided that the circle of radius OP about P intersects C in two points.”
I couldn’t understand why does the same construction and proof hold, could you explain it specifically to me?