In Geometry, the angle of gold is created by dividing the circumference C of a circle into 2 sections has and B (

c=a+b \, and
\ frac {C} {has} = \ frac {has} {B}

The angle formed by the arc of circle B is called the angle of gold. It roughly measures 137.51° or 2.4000 Radian S. It derives from the Golden section ( \ phi).

Exact measurement in Radian S is:

  • \ frac {2 \ pi} {\ varphi} \, \! for the re-entrant angle
  • \ frac {2 \ pi} {\ varphi+1} \, \! for the salient angle
\ varphi \, \! being the Golden section \ varphi = \ frac {1+ \ sqrt {5}} {2} \, \! .

One is supposed to on several occasions find this angle in nature. The example more striking would be the pine cone, on which spiral of Archimedes are present of which the points of crossing are laid out according to the angle of gold.

External bond

  • the pine cone

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