# Definition:Rational Point in Plane

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## Definition

Consider the Cartesian plane $\R^2$.

The points $\tuple {x, y} \in \R^2$ such that $x, y \in \Q$ are called the **rational points (of $\R^2$)**.

## Also known as

A **rational point** can also occasionally be seen referred to as a **rational lattice point**, but this is rare, and may easily cause confusion with the concept of a lattice point.

## Sources

- 1992: George F. Simmons:
*Calculus Gems*... (previous) ... (next): Chapter $\text {B}.17$: More About Irrational Numbers. $\pi$ is Irrational