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The beautiful butterfly theorem (Théorème du
papillon) is a classical result in Euclidean geometry. It has several
proofs. According to Coxeter and Greitzer, Geometry Revisited 1967, one
of the solver was W. G. Horner whose name is associated with Horner’s
Method of approximating zeros of polynomials.
Level: High School, SAT Prep, College geometry.
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