Students and teachers of secondary school

Euler Circles of Intriangles and Extriangles

E. D. Kulanin^a, N. Shihova

^a Moscow City University of Psychology and Pedagogics

Abstract: Given a triangle, let us define the "intriangle" with the vertices at the tangent points of the incircle of the given triangle, and "extriangles" with the vertices at tangent points of the excircles of the given triangle. Euler circles of intriangles and extriangles are studied.

Keywords: inscribed circle excircle, Euler circle.

UDC: 514.112.3