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
St Michael and All Angels Church, Southwick is shaped like a right-angled triangle whose longest side runs from north to south. Shoreham Harbour and the English Channel form the southern boundary; the eastern side corresponds with the ancient boundary between the Rapes of Bramber and Lewes (now the boundary between Adur district and the city of Brighton and Hove, and also between West Sussex and East Sussex); and the western boundary was created in 1848 when Kingston Lane was built to form the eastern limit of Kingston Buci parish. Until 2008, there were two other active Anglican churches in the parish, both of which were administered from