Definition:Apotome

Definition
Let $a, b \in \R_{>0}$ be two (strictly) positive real numbers such that $a > b$.

Then $a - b$ is an apotome :
 * $(1): \quad \dfrac a b \notin \Q$
 * $(2): \quad \left({\dfrac a b}\right)^2 \in \Q$

where $\Q$ denotes the set of rational numbers.

Also see

 * Definition:Binomial (Euclidean)


 * Apotome is Irrational

Linguistic Note
The term apotome is archaic, and is rarely used nowadays.

It is pronounced a-pot-o-mee.

It means portion cut off.