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The Golden Mean There is a place on any given line where the ratio of the smaller part to the larger is the same as the larger part to the whole line. The ancient Greeks called this place of division aurio sectio or The Golden Mean. It is the harmonious point of balance that sits at the heart of aesthetic beauty. It has governed the composition of art and architecture from The Pathernon to Cezanne, and as a mathematical formula it can be used to describe both sea shells and spiral galaxies. But The Golden Mean needs neither calculator nor dividers to define its placement, for within each of us lies the innate sense that allows us to pinpoint its position precisely.