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The golden ratio φ and its negative reciprocal −φ −1 are the two roots of the quadratic polynomial x 2 − x − 1. The golden ratio's negative −φ and reciprocal φ −1 are the two roots of the quadratic polynomial x 2 + x − 1. The golden ratio is also an algebraic number and even an algebraic integer.
Aristotle analyzed the golden mean in the Nicomachean Ethics Book II: That virtues of character can be described as means. It was subsequently emphasized in Aristotelian virtue ethics . [ 1 ] For example, in the Aristotelian view, courage is a virtue , but if taken to excess would manifest as recklessness , and, in deficiency, cowardice .
The term Golden Age comes from Greek mythology, particularly the Works and Days of Hesiod, and is part of the description of temporal decline of the state of peoples through five Ages, Gold being the first and the one during which the Golden Race of humanity (Greek: χρύσεον γένος chrýseon génos) [1] lived.
A golden triangle. The ratio a/b is the golden ratio φ. The vertex angle is =.Base angles are 72° each. Golden gnomon, having side lengths 1, 1, and .. A golden triangle, also called a sublime triangle, [1] is an isosceles triangle in which the duplicated side is in the golden ratio to the base side:
The metaphor of a Golden Age is often invoked for high points of lost knowledge in the mythical past of mankind, also in the context of lost continents such as Lemuria or Mu (also known as Kumari Kandam). A golden age is a period considered the peak in the history of a country or people, a time period when the greatest achievements
The "golden retriever boyfriend" is pleasant, supportive and an equal to his partner. Urban Dictionary defines "golden retriever boyfriend" as:. “a significant other that is easygoing and makes ...
Golden spirals are self-similar. The shape is infinitely repeated when magnified. In geometry, a golden spiral is a logarithmic spiral whose growth factor is φ, the golden ratio. [1] That is, a golden spiral gets wider (or further from its origin) by a factor of φ for every quarter turn it makes.
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