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We consider the problem of determining for which central points X of the triangle ABC the products of lengths of sides and cevians of X will be sides of a triangle. We shall prove that twenty-seven out of hundred and one central points from the Kimberling\u27s list have this property. The algebraic method of proof for this result is also used to obtain some new examples of three segments that are sides of a triangle and are built from elements of a given triangle

Topics:
triangle; cevian; triangular; central point; isogonal conjugate

Publisher: Department of Mathematics, University of Osijek

Year: 1998

OAI identifier:
oai:hrcak.srce.hr:1768

Provided by:
Hrčak - Portal of scientific journals of Croatia

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