Ceva's theorem
Theorem about triangles
Ceva's theorem
In Euclidean geometry, Ceva's theorem is a theorem about triangles. Given a triangle △ABC, let the lines AO, BO, CO be drawn from the vertices to a common point O (not on one of the sides of △ABC), to meet opposite sides at D, E, F respectively. (The segments AD, BE, CF are known as cevians.) Then, using signed lengths of segments, A F ¯ F B ¯ ⋅ B D ¯ D C ¯ ⋅ C E ¯...
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