So suppose you have 3 points in 2D space.
For each of these 3 points, a circle with it’s center at these points appears.
These 3 circles are not any other circles. They are tangent to each other, or they are kissing each other.
So given any 3 points, how do you find the radii of these 3 circles? Give a thought to this question. Solutions will come out tomorrow.
Lets name the points , and , and the radii of each circle be , , and . Also, let the distance between and be .
From , and we can find that: