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# Gnomons - number 1 3 = 4 1 3 5 = 9 1 3 5 7 = 16 and so on...

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Gnomons Gnomon means carpenter's square in Greek. Its the name given to the upright stick on a sundial. For the Pythagoreans, the gnomons were the odd integers , the masculine numbers. Starting with the monad, a square number could be obtained by adding an L- shaped border, called a gnomon. Thus, the sum of the monad and any consecutive number of gnomons is a square
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Unformatted text preview: number. 1 + 3 = 4 1 + 3 + 5 = 9 1 + 3 + 5 + 7 = 16 and so on. The Quadrivium While speaking of groups of four, we owe another one to the Pythagoreans, the division of mathematics into four groups, giving the famous Quadrivium of knowledge, the four subjects needed for a bachelor's degree in the Middle Ages....
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