euclidean (Meaning)
Wordnet
euclidean (a)
relating to geometry as developed by Euclid
Synonyms & Antonyms of euclidean
No Synonyms and anytonyms found
euclidean Sentence Examples
- Euclidean geometry, a branch of mathematics, revolves around the concept of geometric figures in a two-dimensional or three-dimensional space.
- Euclidean spaces, utilized in mathematics and physics, consist of geometric figures and their relationships, adhering to certain axioms laid down by Euclid.
- The Euclidean distance between two points, often denoted by "d(P,Q)," symbolizes the straight-line distance connecting them in a Euclidean space.
- Euclidean algorithm, employed in number theory and computer science, is a procedure for determining the greatest common divisor (GCD) of two integers.
- Euclid's Elements, an ancient Greek mathematical and geometric treatise, fundamentally influenced the development of mathematics.
- In Euclidean space, parallel lines remain equidistant and never intersect, maintaining their parallel relationship.
- Euclidean geometry emphasizes the study of geometric figures and their properties, including angles, triangles, circles, and other related concepts.
- Euclid's postulate of parallels forms the basis of Euclidean geometry, establishing the existence of exactly one parallel line through a given point outside a given line.
- Euclidean transformations, such as translations, rotations, and reflections, are transformations that preserve the geometric properties of figures in a Euclidean space.
- Euclidean constructions, commonly encountered in geometry, involve precise steps to construct geometric figures using only a straightedge and a compass.
FAQs About the word euclidean
relating to geometry as developed by Euclid
No synonyms found.
No antonyms found.
Euclidean geometry, a branch of mathematics, revolves around the concept of geometric figures in a two-dimensional or three-dimensional space.
Euclidean spaces, utilized in mathematics and physics, consist of geometric figures and their relationships, adhering to certain axioms laid down by Euclid.
The Euclidean distance between two points, often denoted by "d(P,Q)," symbolizes the straight-line distance connecting them in a Euclidean space.
Euclidean algorithm, employed in number theory and computer science, is a procedure for determining the greatest common divisor (GCD) of two integers.
