Saturday, 30 March 2013

Golden Ratio Φ

A---------------C----------B

$Latex \frac {AB}{AC} = \frac{AC}{CB}$
= 1.61803... = Φ
= $Latex \frac {1+ \sqrt{5}} {2}$

$Latex \frac {6}{5} \Phi^2$
= ∏ = 3.14159...

Donald Knuth (Great Computer Mathematician, Stanford University, LaTex inventor) noted the Bible uses a phrase like:
"as my Father is to me, I am to you"
=> F= Father = line AB
I (or me) = AC
U = You = CB
=> F/I = I/U = Φ
Note: Φ = 1.61803 = - 2 sin 666°

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