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Isotomic and Isogonal Conjugates Tangent Lines of Lines at Vertices of Triangle

초록

영어

In this paper we consider the two tangent lines of isogonal and isotomic conjugates of the line at both vertices of a given triangle. We find the necessary and sufficient condition for the two tangent lines of isogonal or isotomic conjugates of the line at both vertices and the median line to be concurrent. We also prove that every line whose isogonal conjugate tangent lines at both vertices are concurrent with the median line intersects at a unique point. Moreover, we show that the three intersection points correspond to the vertices of triangle are collinear.

목차

Abstract
 1. Introduction
 2. Preliminaries for Elementary Plane Geometry
 3. Tangent Lines of Isotomic and Isogonal Conjugates of Line at Vertices of Triangle
 Acknowledgement
 References

저자정보

  • Min Young Seo Graduate school of Education
  • Young Joon Ahn Department of Mathematics Education, Chosun University, Gwangju, Korea

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