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The product of a number multiplied by itself, e.g. 1, 4, 9, 16.
- ‘If we can express a square number also as the sum of two other square numbers then Pythagoras' Theorem tells us that we have three sides of a right-angled triangle and this is Fibonacci's first Proposition.’
- ‘In every right-triangle, if the double product of the legs be either added or subtracted from the square of the hypotenuse, both the sum and the remainder will be square numbers.’
- ‘Fibonacci first notes that square numbers can be constructed as sums of odd numbers, essentially describing an inductive construction using the formula n 2 + = 2.’
- ‘This year I've decided to switch my mathematical allegiance to square numbers.’
- ‘Since the next succeeding square number is 729, which has 27 for its side, divide 720 by 27.’
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