Incircle and excircles of a triangle polygon with any number of sides that has an inscribed circle—one that is tangent to each side—is called a tangential polygon. Incircle and excircles of a triangle In geometry, the incircle or inscribed circle of a triangle is the largest circle contained in the triangle; it touches (is tangent to) the three sides. The center of the incircle is a triangle center called the triangle's incenter. An excircle or escribed circle of the triangle is a circle lying outside the triangle, tangent to one of its sides and tangent to the extensions of the other two. Every triangle has three
When a white horse is not a horse horses, doesn't that mean that there are horses? For there to be white horses is for there to be horses. How could it be that the white ones are not horses? Advocate: If one wants horses, that extends to yellow or black horses. But if one wants white horses, that does not extend to a yellow or black horses. Suppose that white horses were horses. Then what one wants [in the two cases] would be the same. If what one wants were the same, then 'white' would not differ from 'horse.' If what one wants does not differ, then how