## Information for "Euclidean space"

## Basic information

Display title | Euclidean space | ||||||

Default sort key | Euclidean space | ||||||

Page length (in bytes) | 29,792 | ||||||

Page ID | 9697 | ||||||

Page content language | English
In geometry, Classical Greek geometry defined the Euclidean plane and Euclidean three-dimensional space using certain postulates, while the other properties of these spaces were deduced as theorems. Geometric constructions are also used to define rational numbers. When algebra and mathematical analysis became developed enough, this relation reversed and now it is more common to define Euclidean space using Cartesian coordinates and the ideas of analytic geometry. It means that points of the space are specified with collections of real numbers, and geometric shapes are defined as equations and inequalities. This approach brings the tools of algebra and calculus to bear on questions of geometry and has the advantage that it generalizes easily to Euclidean spaces of more than three dimensions. From the modern viewpoint, there is essentially only one Euclidean space of each dimension. With Cartesian coordinates it is modelled by the real coordinate space ( Euclidean space sectionsIntro Intuitive overview Euclidean structure Non-Cartesian coordinates Geometric shapes Topology Applications Alternatives and generalizations See also Footnotes References External links
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Page content model | wikitext | ||||||

Indexing by robots | Allowed | ||||||

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## Edit history

Page creator | Wcherowi (Talk | contribs) |

Date of page creation | 04:13, 20 September 2015 |

Latest editor | Wcherowi (Talk | contribs) |

Date of latest edit | 04:13, 20 September 2015 |

Total number of edits | 1 |

Total number of distinct authors | 1 |

Recent number of edits (within past 91 days) | 0 |

Recent number of distinct authors | 0 |