The secrets of triangles

the long version

Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing secrets. For example, if a circle is inscribed in any random triangle and then three lines are drawn from the three points of tangency to the opposite vertices of the triangle, these lines will always meet at a common point--no matter what the shape of the triangle. This and many more interesting geometrical properties are revealed in this entertaining and illuminating book about geometry.