Semi-inscribed circles in a triangle

Radu Bairac



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This article analyzes circles with the following property: two sides of a given triangle are tangent to the circle and the circle has a joint point with the circle circumscribed to the triangle. We are going to call this kind of circles semi-inscribed circles. Every triangle has three semi-inscribed circles. For this particular type of circles we will establish new properties that you have not found yet in the mathematical literature.

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Bairac, Radu