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
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