Original scientific paper

Triangles from Central Points

Zvonko Čerin ; Department of Mathematics, Faculty of Science, University of Zagreb, Zagreb, Croatia

Abstract

The paper deals with the problem of determining which central points X of the triangle ABC have the property that segments AX, BX, and CX being the sides of a triangle. We shall prove that only thirteen out of hundred and one central points from Kimberling's list have this property. Moreover, the convex hull of ten among these points always consists only of the points having the above mentioned properties.

Keywords

Hrčak ID:

166347

URI

https://hrcak.srce.hr/166347

Publication date:

20.1.1998.

Article data in other languages: croatian

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