Kepler's Triangle
Φ +1 = Φ2
Johannes Kepler 1571 -1631 was the first who proposed the ratio between short side and hypotenuse is equal to the golden ratio. The picture is not construed as to be the Pythagorean triangle. Johannes kepler identified something important related to the picture, saying the geometry had two great treasures, one of which was the Pythagorean theorem, and the second golden ratio shown above. The First was like a pile of gold, the latter as a precious jevel.
Visual Geometry
The old phrase says that not two without the third, but let me tell of that. Johannes Kepler discovered planets elllipse-shaped orbits in 1609, today known as the first law of Kepler. The picture involves in many sense to Johannes Kepler's discovery of orbits.
Imagine to color with watercolor a picture and you select a yellow color, but you do not like the color. You choose the blue color and cover over the yellow points. Even in the school was taught this resulting green color that will surprise at first time. The student does not understand this, but older intelligence would become aware of the triangle to be the description of the phenomenon, such as the Pythagorean theorem in geometry.
Before Albert Einstein's theories of relativity, this was not possible, but in today's knowledge, yes. The picture is thus derived from the mathematical description, as occurs in the context with the Pythagorean theorem. Mathematics has the nature of value space, where math combines elements of irrational numbers such as phi, pi, radians, degrees minutes and seconds. All that, which is already calculated, plus new thinking to math.
10.1.2015*14:00 (18656 - 188)
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