The parabolas of Artzt in the solution of a geometric problem of minimum length

• Autores: Nikos Klaoudatos
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 42, Nº. 2, 2011, págs. 239-245
• Idioma: inglés
• DOI: 10.1080/0020739x.2010.519794
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• Resumen

  • The article describes the solution of a geometric problem and how this problem was formed. During the investigation process, I discovered that the inscribed parabola in a triangle, known as the parabola of Artzt, a mathematical subject developed almost 120 years ago, was the decisive idea which directed me towards the solution. Moreover, in the solution, I also used notions that some mathematicians of the present generation, probably, are not familiar with, such as the symmedian and the Simson line.