Volume no :48, Issue no: 1, November (2017)

SOME PROPERTIES OF PARABOLAS TANGENT TO TWO SIDES OF A TRIANGLE

Author's: A. Bayar, Z. Akça, A. Altintaş and S. Ekmekçi
Pages: [47] - [53]
Received Date: November 30, 2017
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121907

Abstract

In this work, we study some properties of parabolas whose vertex and focus are on bisector line and tangent to two sides of a given triangle. Also, we give the relationships among the vertex, the focus, and the intersection angle of the tangents. For the triangles with particular angles, we associate these parabolas with Euler line of the triangle ABC.

Keywords

tangent parabolas, Euler line.