unique circle which passes through three given points
We can see a point A. Five circles have been drawn which pass though this point A. These five circles are a, b, c, d and e. We can freely move this point A. Let us move this point and observe how the size and positions of these circles change.
Questions to think about
1. Let us think how many circles can be drawn which pass through this point A?
2. Let us think how we can draw an infinite number of circles which pass through a single point?