# Euclidean geometry

In mathematics, **Euclidean geometry **is the familiar kind of geometry in
two
dimensions (on a plane) or in three dimensions. Mathematicians sometimes use the
term to encompass higher dimensional geometries with similar properties.

Euclidean geometry sometimes means geometry in the plane which is also called plane geometry. Plane geometry is the kind of geometry usually taught in high school. Euclidean geometry in three dimensions is traditionally called solid geometry.

Euclidean geometry is named after the Greek mathematician Euclid. Euclid's text
*Elements* is an early systematic treatment of this kind of geometry.

**See also**

2D | Two-dimensional coordinate system |

3D | Three-dimensional coordinate system |

Angle | Definition of an angle |

Axis | Definition of Cartesian axis |

Cartesian geometry | What is Cartesian geometry? |

Coordinate system | Definition of coordinates |

Curve | Definition of a curve |

Distance | Definition of distance |

Euclidean geometry | What is Euclidean geometry? |

Geometry | Definition of geometry |

Length | Definition of length |

Line | Definition of a line |

Origin | Definition of origin in a Cartesian coordinate system |

Perspective projection | Definition of perspective projection |

Planar homography | Definition of planar homography |

Plane | Definition of a plane |

Point | Definition of a point |

Point (kinematics) | Definition of a point (kinematics) |

Projective geometry | What is projective geometry? |

Segment (kinematics) | Definition of a segment (kinematics) |

Vanishing points | Definition of vanishing points and vanishing lines in perspective projection |

Vector | Definition of a vector |