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What is the measure of a vertex of a golden triangle?
36 degrees exactly. (It's 1/5 of 180.) Golden triangles (i.e., isosceles with side-to-base ratio of phi = golden ratio) are found in pentagrams.
Special ratio where it is found in ancient times?
The golden ratio was used to design the pyramids and also greek buildings and artifacts
What is Pythagoras best remembered for besides the Pythagoras theorem?
the
Were Socrates and Pythagoras friends?
Socrates was born after Pythagoras died.
Did Archimedes meet Pythagoras?
Pythagoras dies before Archimedes was born.
Did Pythagoras invent algebra?
No. Pythagoras came up with the Pythagorean Theorem and Golden Ratio, though.
Who discovered golden ratio?
the golden ratio hasn't relation to statistic ! it is statement about rectangular triangles with edges 3,4,5 that named by Pythagoras Greek mathematician B.C.
Is the Pythagoras theorem the same thing as the golden ratio?
No, they are not the same, but relate to each other. The medial right triangle of this "golden" pyramid, demonstrated the Pythagorean theorem through the relationship of the two. Ancient Greek mathematicians first studied the golden ratio because of its frequent appearance in geometry. The division of a line into "extreme and mean ratio" (the golden section) is important in the geometry of regular pentagrams and pentagons. The Greeks usually attributed discovery of this concept to Pythagoras.
Who discovered ratios?
the golden ratio hasn't relation to statistic ! it is statement about rectangular triangles with edges 3,4,5 that named by Pythagoras Greek mathematician B.C.
What are the dimensions of the golden ratio?
The golden ratio is a pure number and so has no dimensions.The golden ratio is a pure number and so has no dimensions.The golden ratio is a pure number and so has no dimensions.The golden ratio is a pure number and so has no dimensions.
What is the golden ratio in art?
The golden ratio was a mathematical formula for the beauty. The golden ratio in the Parthenon was most tremendous powerful and perfect proportions. Most notable the ratio of height to width on its precise was the golden ratio.
When did Pythagoras create the golden triangle?
he liked men
What number is the golden ratio?
The golden ratio, or golden mean, or phi, is about 1.618033989. The golden ratio is the ratio of two quantities such that the ratio of the sum to the larger is the same as the ratio of the larger to the smaller. If the two quantities are a and b, their ratio is golden if a > b and (a+b)/a = a/b. This ratio is known as phi, with a value of about 1.618033989. Exactly, the ratio is (1 + square root(5))/2.
What the significance of golden ratio?
The golden ratio (or Phi) is a ratio that is very commonly found in nature. For instance, some seashells follow a spiraling path at the golden ratio.
How do you know who has the highest golden ratio?
The Golden Ratio is a constant = [1 + sqrt(5)]/2. There is, therefore, no higher or lower Golden Ratio.
What is the historical significance of the golden ratio?
History Golden Ratio ( 1.61803398875...) The golden ratio has fascinated Western intellectuals of diverse interests for at least 2,400 years. According to Mario Livio: Some of the greatest mathematical minds of all ages, from Pythagoras and Euclid in ancient Greece, through the medieval Italian mathematician Leonardo of Pisa and the Renaissance astronomer Johannes Kepler, to present-day scientific figures such as Oxford physicist Roger Penrose, have spent endless hours over this simple ratio and its properties. But the fascination with the Golden Ratio is not confined just to mathematicians. Biologists, artists, musicians, historians, architects, psychologists, and even mystics have pondered and debated the basis of its ubiquity and appeal. In fact, it is probably fair to say that the Golden Ratio has inspired thinkers of all disciplines like no other number in the history of mathematics. Source: Wikipedia, Golden Ratio
What is the pattern that occurs in the golden ratio?
The pattern that occurs in the golden ratio is a spiral.
