WordNet-Online
Free dictionary and thesaurus of English. Definitions, synonyms, antonyms and more...
Hint: double-click any word to get it searched!

	Enter your search terms Submit search form
	Web www.wordnet-online.com

Definitions from WordNet

Definitions from the Web

Euclidean Space

Euclidean space refers to a mathematical concept in which points exist in a flat, two-dimensional plane or a three-dimensional space. It is a fundamental concept in geometry and serves as the foundation for many mathematical models and physical theories.

Senses and Usages:

Sense 1:

Noun: A space with a fixed number of dimensions, obeying the Euclidean axioms.

Example Sentence: In Euclidean space, the distance between two points can be calculated using the Pythagorean theorem.

Sense 2:

Adjective: Pertaining to or characteristic of Euclidean geometry.

Example Sentence: The Euclidean space properties make it suitable for representing simple geometric shapes in mathematical models.

Sense 3:

Adjective: Relating to a specified Euclidean space of a particular dimension.

Example Sentence: The calculations involved in analyzing the behavior of objects in three-dimensional Euclidean space can become quite complex.

Related Products:

Explore books and resources related to Euclidean space on Amazon.