Schiffler's theorem
Encyclopedia
In geometry
, the Schiffler's theorem states that if the incenter of a triangle
ABC is denoted by I, then the Euler lines of triangles BIC, CIA and AIB have a common point. The theorem can be proved by using trilinear coordinates.
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....
, the Schiffler's theorem states that if the incenter of a triangle
Triangle
A triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C is denoted ....
ABC is denoted by I, then the Euler lines of triangles BIC, CIA and AIB have a common point. The theorem can be proved by using trilinear coordinates.