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Q&A #6466

Teachers' Lounge Discussion: Triangles

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From: Pablo Escalante <pescalante@dlucentro.imm,gub.uy>
To: Teacher2Teacher Public Discussion
Date: 2006040507:23:05
Subject: There is much more inside a triangle

	If you go around a triangle, and the history around it, tou'll find
that through time a lot of properties have been studied, more than
just the classical centers.

You could for instance show that the middle point of the orthocenter
and the circuncenter is the center of a famous circle, the nine point
circle.
You could also show there is a point (really 2)where the three angles
drawn from it with the sides form equal angles (Brocard Points) and
that this points can be drawn by tracing 3 circles, each of them
through two vertices and tangent to one side

And ther are a lot more


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