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
Jack (given name) of the word is linked to the name being used as a by-name for a man. Jack (given name) Jack is a male given name. In recent decades, Jack has become one of the most common names for boys in many English-speaking countries. While Jack is now a proper name in its own right, in English; it was traditionally used as a diminutive form of John. It can also be used as a diminutive for: Jacob, Jason, Jonathan, Johann, Johannes, Joachim and sometimes for James, from its French form Jacques. It is also used as a female given name (often