euclidean space (Meaning)
Wordnet
euclidean space (n)
a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional
Synonyms & Antonyms of euclidean space
No Synonyms and anytonyms found
euclidean space Sentence Examples
- In Euclidean space, points are represented by coordinates, which are numbers that describe their position relative to a fixed origin.
- The Euclidean distance between two points is the length of the straight line segment connecting them.
- The angle between two lines in Euclidean space is measured in degrees or radians.
- A plane in Euclidean space is a flat, two-dimensional surface that extends infinitely in all directions.
- A sphere in Euclidean space is a three-dimensional surface that is equidistant from a fixed point called the center.
- A cube in Euclidean space is a three-dimensional object with six square faces.
- A tetrahedron in Euclidean space is a three-dimensional object with four triangular faces.
- The volume of a solid in Euclidean space is the amount of three-dimensional space that it occupies.
- The surface area of a solid in Euclidean space is the total area of its surfaces.
- Euclidean space is the most familiar type of geometric space, and it is used in many areas of mathematics, physics, and engineering.
FAQs About the word euclidean space
a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional
No synonyms found.
No antonyms found.
In Euclidean space, points are represented by coordinates, which are numbers that describe their position relative to a fixed origin.
The Euclidean distance between two points is the length of the straight line segment connecting them.
The angle between two lines in Euclidean space is measured in degrees or radians.
A plane in Euclidean space is a flat, two-dimensional surface that extends infinitely in all directions.
