Conjectures pertaining to repeated partitioning of a triangle

• Autores: Arsalan Wares
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 39, Nº. 6, 2008, págs. 814-819
• Idioma: inglés
• DOI: 10.1080/00207390801935913
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• Resumen

  • This note describes two conjectures pertaining to repeated partitioning of an arbitrary triangle. The first conjecture turns out to be true, and hence gives rise to a new, more general, conjecture that is also addressed in this article. Both conjectures can be explored in a dynamic geometry environment. The proofs to the conjectures addressed in this article require knowledge of high school Euclidean geometry