Definition:That which produces Medial Whole with Rational Area

Definition
Let $a, b \in \R_{>0}$ be in the forms:
 * $a = \dfrac \rho {\sqrt {2 \left({1 + k^2}\right)} } \sqrt{\sqrt {1 + k^2} + k}$
 * $b = \dfrac \rho {\sqrt {2 \left({1 + k^2}\right)} } \sqrt{\sqrt {1 + k^2} - k}$

where:
 * $\rho$ is a rational number
 * $k$ is a rational number whose square root is irrational
 * $\lambda$ is a rational number whose square root is irrational.

Then $a - b$ is that which produces a medial whole with a rational area.

Also known as
This can also be described as that which produces with a rational area a medial whole.

And in answer to your next question: no, there isn't.

Also see

 * That which produces Medial Whole with Rational Area is Irrational


 * Definition:Side of Rational plus Medial Area


 * Definition:Medial