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manuel
Posts:
13
Registered:
12/6/04


minimal perimeter
Posted:
Dec 11, 2001 8:09 PM


Consider a point P in the interior of an angle AOB, for each line passing through P we obtain a triangle. The triangle with minimal area is obtained when the line through P is tangent to the exterior tangent circle of the two sides of the angle passing in P.
Suplement question: what is the triangle with minimal area? Let X be the point of tangency of the circunference I've just refered with the near side of angle from the point P. I think the answer is the triangle obtained with line PX, but i can't prove it.



