A General Approach to Establish 
Relations Among The Radii of Tangent Circles Cover Image
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Общ подход за установяване на зависимости между радиуси на допиращи се окръжности
A General Approach to Establish Relations Among The Radii of Tangent Circles

Author(s): Sava Grozdev, Veselin Nenkov
Subject(s): Social Sciences, Education, School education, Vocational Education, Higher Education
Published by: Национално издателство за образование и наука „Аз-буки“
Keywords: triangle; circle; circum-circle; in-circle; Sangaku

Summary/Abstract: A general idea is considered to establish relations among the radii of tangent circles in the plane of a given triangle. The idea is based on Euler’s formula for the distance between the radii of the circum-circle and the in-circle of the triangle and also on some other relations between the radii in question. The main results are unified in the formulation of a corresponding lemma.

  • Issue Year: 59/2016
  • Issue No: 1
  • Page Range: 52-72
  • Page Count: 21
  • Language: Bulgarian