$Geometry$

$Pythagorean Theorem$

c^{2}\ =\ (b-a)^{2}\ +\ 4\cdot {\frac {ab}{2}}

c^{2}\ =\ (b+a)^{2}\ -\ 4\cdot {\frac {ab}{2}}

——————————————————————————————————————————————————

——————————————————————————————————————————————————

——————————————————————————————————————————————————

This Armid was a counselor to the court of Magdun, the King of Psandurs, who conquered the whole world. He invented the wheel, and taught people how to count. He counted the number of the grains of sand (keptar), and that of the fiery spokes that form the wheel of the sun shining in all its splendor (asphet meglater).

——————————————————————————————————————————————————

1. The people cut into eighths, and the wise into sixths, but nature counts in sevenths ...

——————————————————————————————————————————————————

2. The unbent spoke enters exactly six times into the wheel. The deviation of the round portion from the straight one is of about three eighths of an eighth (padna dengara).

——————————————————————————————————————————————————

3.1. The wheel has six spokes and a quarter, with a deviation of about a quarter of an eighth above an eighth of an eighth of an eighth.

——————————————————————————————————————————————————

3.2. The wheel has six spokes and a quarter, with a deviation of about one part in two-and-a-half dozen.

——————————————————————————————————————————————————

3.3. The wheel has six spokes and a quarter, with a deviation of about a quarter of an eighth above one part in three gross and seven dozen.

——————————————————————————————————————————————————