## The Circle and Square

We can perform simple arithmetic with both the circle and square. Meaning we can add and subtract one circle/square from another.

The radius (r) of all circles that are same colour, are reciprocals of each other.

"The weight of evidence for an extraordinary claim must be proportioned to its strangeness." Laplace

Yes, I know about Archimedes, Lindemann, transcendental number, inscibed polygons.. but lets explore anyway.

We can perform simple arithmetic with both the circle and square. Meaning we can add and subtract one circle/square from another.

The radius (r) of all circles that are same colour, are reciprocals of each other.

The relationship between triangle 1 and 3 (also 2 and 4). The hypotenuse of triangle 1 is equal to the height of triangle 2, and the height of triangle 1 is equal to the base of triangle 2.

We get the following two equations.

And because the follwing is true.

We can work out these.

Which we can substitute.

Cool relationship.

something here

The amazing double triangle formation.

The angles can be worked out using trigonometry.

The amazing Cosmic identity (read more) and its varients.

Where the height (A) = x.

Where the height (A) = 2/x.

numbers

Scaled Numbers

The Search for Pi.

The Search for Proof - Volume 2

The Search for Proof - Volume 1

Pi versus Pi - a comparison

Please comment below:

Folding Circles