Isosceles triangle the hypotenuse to the right-angled vertex) divides the right triangle into two isosceles triangles. This is because the midpoint of the hypotenuse is the center of the circumcircle of the right triangle, and each of the two triangles created by the partition has two equal radii as two of its sides. Similarly, an acute triangle can be partitioned into three isosceles triangles by segments from its circumcenter, but this method does not work for obtuse triangles, because the circumcenter lies outside the triangle. Generalizing the partition of an acute triangle, any cyclic polygon that contains the center of its circumscribed
Shannon (given name) Shannon (given name) Shannon ("wise river") is an Irish name, Anglicised from Sionainn. Alternative spellings include Shannen, Shanon, Shannan, Seanan, and Siannon. The variant Shanna is an Anglicisation of "Sionna" ("possessor of wisdom"). "Sionainn" derives from the Irish name "Abha na tSionainn" for the River Shannon. Because the suffix "ain" indicates a diminutive in Irish, the name is sometimes mistranslated as "little wise one". The name "Sionainn" alludes to Sionna, a goddess in Irish mythology whose name means "possessor of wisdom". She is the namesake and matron of Sionainn, the River Shannon. Sionainn is the longest river in Ireland. Sionainn