Loci, Generated by Equilateral Triangles with Vertices Lying on a Circle Cover Image
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Геометрични места, породени от равностранни триъгълници с върхове върху окръжност
Loci, Generated by Equilateral Triangles with Vertices Lying on a Circle

Author(s): Borislav Borisov, Deyan Dimitrov, Nikolay Ninov, Teodor Hristov
Subject(s): Social Sciences, Education, Library and Information Science, Education and training, School education, Vocational Education, Adult Education, Higher Education , History of Education
Published by: Национално издателство за образование и наука „Аз-буки“
Keywords: equilateral triangle; circle; ellipse; curve of fourth degree

Summary/Abstract: The article is a scientific work of student under the supervision of Associate Professor Dr. Veselin Nenkov. The new results in it were awarded first prize at the International Competition “Methodology and Information Technologyin Education” in 2019. The article refers to loci determined by notable points in a triangle, generated by equilateral triangles with vertices on a constant circle. The construction of the triangle is similar to the initial one from the First International“Network research project” with the participation of Bulgaria, Kazakhstan, andRussia. The main difference between those two constructions consists in the location of two pairs of vertices of the two equilateral triangles – in the initial problem they are on a constant line, but in the present one – on a circle. The loci are circles,ellipses, and curves of fourth order

  • Issue Year: 62/2019
  • Issue No: 2
  • Page Range: 180-193
  • Page Count: 14
  • Language: Bulgarian