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Some interesting things regarding what I call the cosmic equation. This equation has facinatied me for years and seems to be the root of geometry.


cosmic identity
cosmic numbers
cosmic triangle
cosmic angles

We can link it with Pythagoras, trigonometry and the trigonometric functions, metallic means and many other mathematical


It is assumed that (x) is always ≥ 1 and the (1/x) is always ≤ 1.

The Cosmic Equation



Linking the 'cosmic' equation with Pythagoras.




Linking the 'cosmic' equation with trigonometry and the trigonometric functions.




Simplifying the tan relationship.




more stuff.




More stuff.




The Triangles

The relationship between the red and blue triangles.




The relationship between the red and blue triangles.




Animated example.




Visualising the triangles using the cosmic equation.




Substituting x₁ (from above) into the green triangle.




The Roots

Using circles to perform square-roots (more information).


Scale by 1/x₁ and substitute cos.




Scale by x₁ and substitute cos.




Animated example.




To be continued..(last updated : 31/01/20)


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