Similarly, CM c extends beyond M c to the length of GM c . The proof ends as before. A third elementary proof was suggested by Scott Brodie. All their sides are in the same proportion. With a reference to the transitivity of equality , do not have to be solved explicitly.
Transitivity immediately implies that the lines have a common point.
Above we also found its barycentric coordinates. The fact we are looking at is a corollary of a more general Ceva's Theorem. Complex Numbers Points in the affine plane can be associated with complex numbers . There is a unique straight line that passes through two distinct complex numbers. Let there be three complex numbers z A , z B , and z C .