Discovering, Applying, and Extending Ceva’s Theorem

  • Discovering, Applying, and Extending Ceva’s Theorem

    José N. Contreras
    Among the most commonly known points of concurrency are the four points of intersection classically associated with a triangle: the centroid, the orthocenter, the incenter, and the circumcenter. Armed with two extremely powerful theorems from elementary geometry-Ceva's theorem and its converse, here referred to simply as Ceva's theorem-I take my college geometry class on a journey to simplify and unify the proofs of classical concurrency theorems.
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