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Mathematical Communications, Vol. 3 No. 2, 1998.

Original scientific paper

Triangles from products of sides with cevians

Z. Čerin

Full text: english pdf 134 Kb

page 185-195

downloads: 1.113

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Abstract

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's 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.

Keywords

triangle; cevian; triangular; central point; isogonal conjugate

Hrčak ID:

1768

URI

https://hrcak.srce.hr/1768

Publication date:

20.12.1998.

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