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 the poem, which at that stage of composition was the only content of Gandalf's letter, reads: The second quatrain was added during the following revision: The lines were changed in stages, with many experimental forms rejected. Christopher Tolkien also suggested that ""the Sword that was Broken" ["Narsil"]" actually emerged from the verse 'All that is gold does not glitter' in the version cited above. On this view, the words ""a king may yet be without crown, A blade that was broken be brandished"" were no more than a further exemplification of the general moral. All that is gold does not