Fermat's right triangle theorem is, by the Pythagorean theorem, they would form two integer-sided right triangles in which the pair formula_10 gives one leg and the hypotenuse of the smaller triangle and the same pair also forms the two legs of the larger triangle. But if (as Fibonacci asserted) no square congruum can exist, then there can be no two integer right triangles that share two sides in this way. Because the congrua are exactly the numbers that are four times the area of a Pythagorean triangle, and multiplication by four does not change whether a number is square, the existence of a square
Shana (given name) Shana (given name) Shana is a feminine given name of multiple origins. The pronunciation of the name varies depending upon the context and source. According to Bruce Lansky, Shana occurs as a familiar diminutive or form of Shannon, a Gaelic name, meaning "small and wise." It relates to the longest river in Ireland, the Shannon, which earned its namesake from Celtic goddess Sionna, who sought the enchanted hazelnuts of wisdom. Legends vary about the creation of the river, but they all recount the drowning of the Sionna, granddaughter of the great sea god Lir, usually at an undersea well. Some