Pythagoras's constant
Introduction:
Pythagoras's constant:
The square root of 2 , i.e., √2 is known as the Pythagoras's constant.
Geometrical interpretation:
Pythagoras's constant geometrically represents the length of diagonal of a square with unit lengh.
Pythagoras's constant is also the length of the hypotenuse of a right isosceles triangle of unit base and unit perpendicular.
Properties:
Pythagoras's constant √2 is an irrational number. More interesting fact is that, it is the first irrational number.
Decimal expansion:
The decimal expansion of pythagoras's constant is:
√2= 1.414213562373...
Simple continued fraction of Pythagoras's constant:
The simple continued fraction of Pythagoras's constant is:
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