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A conic asssociated with Euler Lines
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Orientador(es)
Resumo(s)
We study the locus of a point C for which the Euler line of triangle
ABC with given A and B has a given slope m. This is a conic through A and
B, and with center (if it exists) at the midpoint of AB. The main properties of
such an Euler conic are described. We also give a construction of a point C for
which triangle ABC, with A and B fixed, has a prescribed Euler line.
Descrição
Palavras-chave
Euler Line Conics
Contexto Educativo
Citação
A Conic Associated with Euler Lines, Forum Geometricorum, Vol. 6 (2006), pp. 17--23
Editora
Department of Mathematical Sciences Florida Atlantic University