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Collinearities and Concurrencies: Sides of Cevian Triangle.

If the sides of the Cevian triangle are extended, they intersect the sides of the ABC in three new points , , and (or at the infinite point). These three points do not form a triangle, but are collinear. The line containing these points is called the Axis of Perspective or the Tripolar Line. Notice that is collinear with B and C and with and , making a point of concurrency.