Definition:Apotome of Medial/Second Apotome

Definition
Let $a, b \in \set {x \in \R_{>0} : x^2 \in \Q}$ be two rationally expressible numbers such that $a > b$ be in the forms:
 * $a = k^{1/4} \rho$
 * $b = \dfrac {\lambda^{1/2} \rho} {k^{1/4} }$

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 a second apotome of a medial.

Also see

 * Second Apotome of Medial is Irrational


 * Definition:Apotome


 * Definition:Medial


 * Definition:First Apotome of Medial