The mathematical relation of a circle's diameter to its circumference is usually taken to be 3.14159... This value however is an irrational number and contains an error which is simple to see when one realizes a whole diameter exists within a whole circumference. The true value of PI as given by Keely/Parker is 20612 : 6561 which must remain an integer ratio of two whole numbers and NEVER REDUCED to a decimal equivalent, which is where the error comes in. These numbers ought to be regarded as parts of a whole relative to each other. See George Hull's book which goes into the Parker solution in great detail: Quadrature of the Circle (external link)

Various Values for PI
PI: 20612 : 6561 = 3.1415942692... (Keely/Parker)
PI:     256 : 81 :: 28 : 34 = 3.1604938272... (History of PI)
PI:       22 : 7 = 3.1428571429... (ancient)
PI: = 3.141594.... (standard)

See Also

12.00 - Reciprocating Proportionality
12.21 - Fibonacci Whole Numbers v Irrational Decimal near Equivalents
13.15 - Principle of Proportion
Quadrature of the Circle
Quadrature of the Circle (external link)
Reciprocating Proportionality

Page last modified on Saturday 29 of October, 2011 05:21:14 MDT

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