sin³ ω = sin(C-ω) × sin(B-ω) × sin(Α-ω)
ω is the Brocard angle of ΔABC. a, b, c are the side lengths of the triangle. A, B, C are the angle measurements of the triangle. L₁, L₂, L₃ are the lengths of the segments between the Brocard points and the vertices. #math #maths #mathematics #geometry #trigonometry