The adjective Cartesian refers to the French mathematician and philosopher René Descartes, who published this idea in 1637 while he was resident in the Netherlands. … See more

Distance between two points
The Euclidean distance between two points of the plane with Cartesian coordinates $${\displaystyle (x_{1},y_{1})}$$ and $${\displaystyle (x_{2},y_{2})}$$ is
This is the … See more

A point in space in a Cartesian coordinate system may also be represented by a position vector, which can be thought of as an arrow pointing from the origin of the coordinate system to … See more

One dimension
An affine line with a chosen Cartesian coordinate system is called a number line. Every point on the line has a real-number coordinate, and every real number represents some point on the line.
There are two See more

The Cartesian coordinates of a point are usually written in parentheses and separated by commas, as in (10, 5) or (3, 5, 7). The origin is often labelled with the capital letter O. In … See more

In two dimensions
Fixing or choosing the x-axis determines the y-axis up to direction. Namely, the y-axis is necessarily the perpendicular to the x-axis through the point marked 0 on the x-axis. But there is a choice of which of the two half lines on … See more

• Cartesian coordinate robot
• Horizontal and vertical
• Jones diagram, which plots four variables rather than two
• Orthogonal coordinates See more