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Beyond Pythagoras coursework Introduction First of all Pythagoras was a famous Greek Mathematician and philosopher, who lived from 580bc to 500bc. Much of Pythagoras' work concerned numbers to which he assigned mystical properties. For example, he classified numbers as triangular ones (1, 3, 6, 10....) which can be represented as a triangular array, and square ones (1, 4, 9, 16....) which form squares. He also observed that any two adjacent triangular numbers add to a square number. For example: + = 10 + 6 = 16 Pythagoras also came up with a theorem stating that in a right-angled triangle, the area of the square on the hypotenuse (the longest side) is equal to the sum of the areas of the squares drawn on the other two sides. If the hypotenuse is 'c' units long and the lengths of the other sides are 'a' and 'b', then c² = a² + b². The...

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