This amazing Egyptian triangle

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Everyone listened attentively to the teacher in the school geometry, very familiar with the fact that Egypt is a triangle.From other species of similar geometric shapes with an angle of 90 degrees, he distinctive aspect ratio.When a person first hears the phrase "Egyptian triangle" come to mind pictures of the majestic pyramids and pharaohs.And what says the story?

As is always the case in respect of the name "Egyptian triangle" there are several theories.According to one of them, known for the Pythagorean theorem was published precisely because of this figure.In 535 BC,Pythagoras, following the recommendation of Thales went to Egypt with the aim to fill some of the gaps in knowledge of mathematics and astronomy.There he drew attention to the peculiarities of the Egyptian surveyors.They are very unusual way builds a triangular shape with right angles, the sides of which were linked to one another the ratio 3-4-5.This mathematical series makes it relatively easy to link the squares of all three parties the same rules.That's how the famous theorem.And Egyptian triangle is precisely that same figure, bumping Pythagoras on an ingenious solution.According to other historical data, the figure was given the name the Greeks: while they often stayed in Egypt, where they could be interested in the work of surveyors.There is a possibility that, as is often the case with scientific discoveries, both stories have taken place at the same time, so you can not say with certainty who first came up with the name "Egyptian triangle".Its properties are amazing and, of course, are not limited only one aspect ratio side.Its area and the parties represented by integers.Due to the use of the Pythagorean theorem to it allows you to get integers square of the hypotenuse and the legs: 9-16-25.Of course, this could be a coincidence.But in this case to explain the fact that the Egyptians believed "their" sacred triangle?They believed in his relationship with the universe.

Once information about this unusual geometric figure became public, the world began to look for other similar triangles with integer sides.It was apparent that they exist.But the importance of the issue was not simply to perform mathematical calculations, and check the "sacred" properties.The Egyptians, for all its strangeness, never considered stupid - scientists still can not explain exactly how the pyramids were built.And here, suddenly, a figure attributed to the usual relationship with nature and the universe.And, indeed, found the ancient Babylonian cuneiform provides guidance on similar triangles with sides, the size of which is described by the 15-digit number.Currently, the Egyptian triangle whose angles are equal to 90 (straight), 53 and 37 degrees, is found in the most unexpected places.For example, when studying the behavior of molecules most ordinary water, it became clear that the change of the aggregate state is accompanied by a reorganization of the spatial configuration of molecules, in which you can see ... the same Egyptian triangle.If we remember that a water molecule consists of three atoms, then we can talk about conditional three sides.Of course, a complete coincidence famous relations are not talking, but the resulting number is very, very close to the desired one.Is it because the Egyptians recognized for his "3-4-5" triangle symbolic key to natural phenomena and the mysteries of the universe?After all, water is known to be the foundation of life.Without a doubt, it is too early to put an end to the study of the famous Egyptian figures.Science will never jump to conclusions, seeking to prove their assumptions.And we also can only wait and wonder knowledge of the ancient Egyptians.