[banker]

ของแถม
ความสัมพันธ์ระหว่าง $ \ \sqrt{3} \ $ กับ $ \ \pi $

As a continued fraction, the square root of 3 can be written as :



Here is pi series:




For more on the next continued fraction below, see An Elegant Continued Fraction for Pi
by L J Large in American Mathematical Monthly vol 106, May 1999, pages 456-8.



We research the connection between the value of sqrt (3) and the value of pi...
We use the equation :


If we assume x=squart(3), we get:



or:


and:


Pythagoras' Constant, the Square Root of 2, is related to the Archimedes` Constant pi, as shown below :


or


So, we get:



ref : http://milan.milanovic.org/math/engl...t3/sqart3.html