# Thomson cubic

- Author:
- Zoltán Kovács

- Topic:
- Geometry

See the following links for a detailed description:

- Steve Phelps' visualization via barycentric coordinates
- Bernard Gibert's web page on the Thomson cubic (see property 27)

**ImplicitCurve({A, B, C, (A+B)/2, (B+C)/2, (C+A)/2, (A+B+C)/3, Center(Circle(A, B, C)), Center(Incircle(A, B, C))})**. (Don't forget to create the triangle ABC first! Be careful: isosceles triangles are considered a degenerate case.)## Acknowledgment

Bernard Gibert kindly pointed me to Cramer's paradox to have a better understanding what is going on in the degenerate case.