phi
A ratio is the quotient of two quantities.
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Phi is a proportion or ratio - approximately
1 : 1.618
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(First defined by Euclid around 300 B.C.)
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Some systems of proportions were based on:
1. The musical intervals
2. The Human Body
3. The Golden Ratio
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The Golden Ratio is also called extreme and mean ratio. According to Euclid,
A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the less.
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“Geometry has two great treasures: one is the theorem of Pythagoras, the other the division of a line into mean and extreme ratios, that is
, the Golden Mean. The first way may be compared to a measure of gold, the second to a precious jewel.”
- Johannes Kepler (1571-1630)
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Matemática é poesia.
