Golden ratio Calculator

Calculates the shorter and longer segments of the golden ratio from one segment.

 segment a of golden ratio 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt shorter segment b = a/φ longer segment a+b = aφ
 The golden ratio can be founded in the Parthenon shrine, the Pyramid, the pictures Mona Lisa and etc.It was used from ancient times as a stable beautiful ratio.$\normal Golden\ ratio(1)\ a\ :\ b=a+b\ :\ a=1\ :\ {\large\frac{1+\sqrt{5}}{2}}\\(2)\ \phi={\large\frac{a}{b}}={\large\frac{a+b}{a}}=1.61803\cdots\\(3)\ \phi=1+{\large\frac{1}{1+{\large\frac{1}{1+\cdots}}}}=\sqrt{1+\sqrt{1+\sqrt{1+\cdots}}}\\$

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