Triangles With Equal Areas, Generated by Two Transformations in the Triangle Plane Cover Image
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Равнолицеви триъгълници, определени от две преобразувания в равнината на триъгълник
Triangles With Equal Areas, Generated by Two Transformations in the Triangle Plane

Author(s): Ivan Stefanov, Deyan Dimitrov, Borislav Borisov
Subject(s): Social Sciences, Education, Library and Information Science, Education and training, School education, Vocational Education, Adult Education, Higher Education , Inclusive Education / Inclusion
Published by: Национално издателство за образование и наука „Аз-буки“
Keywords: triangle; area; isotomic transformation; isogonal transformation; polynomial root

Summary/Abstract: The paper is an elaboration by high school students under the scientific advices of Assoc. Prof. Dr. Veselin Nenkov. The new results in it were estimated highly during its presentation at the International competition “Methodology and Information Technologies in Education” in 2018 and the work was awarded first prize. It is dedicated to a well-known problem for triangle and quadrilateral areas determined by triangle secants. A general formula is found for the area of one of the triangles. The areas of triangles are determined when obtained by isotomic and isogonal transformations in the plane of a given triangle. What is investigated is the question for equal areas of the obtained triangles and the generating ones.

  • Issue Year: 61/2018
  • Issue No: 1
  • Page Range: 60-72
  • Page Count: 13
  • Language: Bulgarian