Elipse de Steiner
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Data
2014-09-26
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Universidade Federal de Goiás
Resumo
This work is focused on demonstrating, using geometric tools, the Steiner's Ellipse
theorem which says that all ellipses entered in a given triangle, the larger area is
touching the triangle sides in their respective middle points. For this we did, in chapter one, an approach to the study of triangles, the ellipses, the orthogonal projection, and we present some results of arithmetic and geometry, this work titled as preliminary lemmas, to be the tools (prerequisites) for proof the theorem that the main is made in chapter two.
We conclude by presenting, in chapter three, some applications and some scripts
for lessons in how to use the ellipse, and in particular Steiner's Ellipse, day-to-day and
in the classroom.
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Citação
SANTANA, G. R. Elipse de Steiner. 2014. 77 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional)–Universidade Federal de Goiás, Goiânia, 2014.