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construction of roots

The geometrical constructions of and aren't but variants on the construction of square roots of natural numbers, starting from a rectangular triangle with side 1.
  • With the Pythagorean thema one can find that the hypotenusa of a rectangular triangle with sides 1 is equal to .
  • On this side you can construct another rectangular triangle with sides and and hypothenusa , etc.
This construction is called the Pythagorean snail van .

Drag the slider and construct the Pytagorean snail