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
All that is gold does not glitter All that is gold does not glitter "All That is Gold Does Not Glitter" (alternatively known as "The Riddle of Strider" or "Song of Aragorn") is a poem written by J. R. R. Tolkien for his fantasy novel "The Lord of the Rings". It alludes to an integral part of the plot that describes Aragorn, son of Arathorn. The poem appears twice in "The Fellowship of the Ring", the first volume of "The Lord of the Rings". It appears first in Chapter Ten, "Strider", in Gandalf's letter to Frodo Baggins in Bree, although when Frodo reads it he does not