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Spy caliper Ruler of the Golden Ratio

Golden Ratio, although in mathematics and the physical universe since time immemorial, and what he discovered by a definite time people started to use information that is not available. [[File: Da Vinci Vitruv Luc Viatour.jpg | thumb | 200px | Located in one of Leonardo da Vinci's day, man and nature, showing the rate at a turning point accepted and the human body to work to integrate-Up interests with each other Vitruvian Man study (1492) .]] Euclid (365 BC - 300 BC), "the Elements" his thesis, has talked about a split from the right point 1.6180339 ... and it is a right to divide the extreme, and he has called significant. Keops Egyptians and p both the pyramid design have used the ratio of pH. Greeks, they have based the entire design of the Parthenon to the Golden Ratio. This rate is also used by the famous Greek sculptor Phidias. The Italian mathematician named Fibonacci, known as the numerical series have discovered the exceptional properties. Leonardo da Vinci, 1509 at the Luca Pacioli published a study called the Divine Ratio gave pictures. This book by Leonardo da Vinci Five Platonic Solids (five Platonic bodies) are available from the pictures. These include a cube, a Tetrahedron, a dodecahedron, and icosahedron, octahedron are a picture of. Leonardo da Vinci's Golden Ratio is probably the first to use the Latin word for 'dr. Renaissance artists have used the Golden Ratio in the table and sculpture in order to achieve balance and beauty often. For example, Leonardo da Vinci, in his painting of the Last Supper, Jesus and the apostles sit on the size of the table has applied the Golden Ratio up to the rear wall and window. Around the sun Johannes Kepler discovered the elliptical nature of the orbit the planet (1571-1630), the Golden Ratio, stated as: "Geometry has two great treasures: one Pythagoras theorem, the other is divided by a line of golden ratio." To illustrate this rate, the architect of the Parthenon and use this rate is officially known as the first person dedicated to Phidias, 1900 letter in the Greek alphabet Phi has used five American mathematician Mark Barr. It also corresponds to that in the Greek alphabet, the letter F, Fibonacci is the first letter.

Golden Ratio, a number of mankind, is an incredible role it played in the history of science and art. Phi, we have to understand about the universe and life continues to open new doors. 1970 Roger Penrose, it is thought to be impossible until today are "folded quintet symmetry with surfaces" which is found through the golden ratio.