ABOUT THE AREA OF TRIANGLE DETERMINED BY CEVIANS OF RANK (k,l,m)

NICUŞOR MINCULETE(1), CĂTĂLIN BARBU(2)

1. Department of REI, "Dimitrie Cantemir" University of Braşov, Str. Bisericii Romane, nr. 107, Braşov, Romania, e-mail: minculeten@yahoo.com 2. "Vasile Alecsandri" National College, Str. Vasile Alecsandri, 37, Bacău, Romania, e-mail: kafka_mate@yahoo.com

Abstract

In this article we give a characterization of the areas of pedal triangles of some important points from the triangle chosen from C. Kimberling's Encyclopedia of triangle centers. A series of these points being points of concurrence of cevians of rank (k,l,m), of the triangle. Also, we present several equalities regarding these points.

Keywords

barycentric coordinates cevian triangle area of the triangle cevians of rank (k l m)