Root worm - knowing about the mathematical phenomenon

03-09  Source: Network gathering  Views:1 

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Root worm - knowing about the mathematical phenomenon

The Pythagorean theorem is the basis of the root screw.

The Pythagorean Theorem

To truly understand the root worm, you need to know what is going on with the Pythagorean theorem to first of all get.

  • The Pythagorean theorem is named after the Greek philosopher Pythagoras of Samos, who lived in the 6th century BC.
  • The phrase refers to right-angled triangles and are: a 2 + b 2 = c 2, where c is the side that is opposite to the right angle, so the hypotenuse.
  • It is therefore necessary that the squares of the other two sides together form the square of the hypotenuse in a right triangle.

The behind the root worm

The root worm is now building on the Pythagorean theorem.

  • The root worm is a formation of rows of right-angled triangles.
  • One begins with a triangle with the two side lengths of the short sides of 1 and the consequent hypotenuse root of Figure 2.
  • The next following triangle is now drawn to the hypotenuse of the first triangle. It has the following dimensions: A cathetus is the hypotenuse of the first triangle, the other cathetus again has the length 1. The hypotenuse has necessarily the length of the square root of 3. This is explained by the Pythagorean Theorem: 1 2 + (square root of 2) 2 = 1 + 2 = 3. the hypotenuse has thus the length of the square root of the third
  • The next triangle is now marked out again on the hypotenuse with the length of the square root of 3, wherein the second cathetus again receives the length of the first The new hypotenuse has thus the length of the root. 4
  • This spiral can be continuously drawn and then results in a spiral. In the second, third and all subsequent round to draw the hypotenuse for clarity usually only up to the previously subscribed root worm, the lines so should not overlap.
  • It is amazing that it has been demonstrated that no matter how far one further distinguishes the root worm, never two hypotenuse are face each (if they would continue to draw to the center of the spiral).
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