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Teachers' Lounge Discussion: Triangles

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From: Pablo Escalante

To: Teacher2Teacher Public Discussion
Date: 2006040508:23:05
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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