Thursday, January 31, 2008

Thin Headbands Soccer

The square root of 2 PERIMETER

The square root of 2 is also known as the Pythagorean constant, often denoted as
\sqrt{2},
is a positive real number that when multiplied by itself gives the number 2. Its numerical value is estimated at 65 positions decimal sequence A002193 in OEIS is:

1.41421 35623 73095 04880 16887 24209 69807 85696 71875 37694 80731 76679 73799.

The square root of 2 is probably the first discovered irrational numbers. Geometrically is the length of the diagonal of a square of unit length, the value of the length of this diagonal can be determined using the Pythagorean Theorem. At the time that computers were not so cheap (before the function SQRT) faster fractional approach was 99/70 (it's better than the rational approximation of 22 / 7 for π). The silver ratio is:
1+\sqrt{2}

0 comments:

Post a Comment