- Radius:

- Equation of circles:

- S1:
- S2:
- S3:
- Finding epic center by setting the equations equal:

- Set , you should find these 2 circles intersects at 2 points.
- There are two way to pick which point is the epic center:

- Plug the points into to the third circle and see which one work.
- Set , or set . Once again you will get 2 points. Only one will be the same as one of the points found previously. That is the point you want.