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• The sum and difference of the areas of Napoleon triangles

  99-108

  Sándor Kiss

  Views:

  9

  The sum of the areas of the Napoleon triangles is the average of the areas of the three outward equilateral triangles on the sides of triangle ABC, and the differerence of these areas is the area of triangle ABC. In this paper we examine how to change these properties if we build on the sides of the triangle ABC, outwards and inwards, three similar triangles.

• Decomposition of triangles into isosceles triangles I: let the students ask bravely

  163-184

  József Kosztolányi

  Zoltán Kovács

  Erzsébet Nagy

  Views:

  26

  We report about working up an open geometric problem as a mathematical research with pupils of a mathematics camp. This paper shows the didactic aims and the methods we worked with, the didactic results. The second part of this paper gives a general solution of the problem, using pure mathematics and a computer programme.