# Euclidean geometry

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**Euclidean geometry** is the branch of mathematics that deals with properties of shapes and spatial relationships. In its modern form, it is the pure mathematics of points and lines and curves and surfaces.

There are a few main types of spatial forms:

- Points, an infinitely small dot.
- Lines, an infinitely long set of points expanding in two opposite directions.
- Planes, an infinitely wide set of lines, stretching out in four directions.
- Space, all of the 3-dimensional space that points, lines, and planes exist ons.

Euclidean geometry is named after Euclid who wrote *Euclid's Elements*, an important early book containing postulates and theorems on Euclidean geometry. The opposite of Euclidean geometry is Non-Euclidean geometry.