non-euclidean geometry Synonyms
No Synonyms and anytonyms found
non-euclidean geometry Meaning
Wordnet
non-euclidean geometry (n)
(mathematics) geometry based on axioms different from Euclid's
non-euclidean geometry Sentence Examples
- Non-Euclidean geometry challenges the traditional understanding of space and relationships.
- The theories of non-Euclidean geometry have revolutionized modern physics and mathematics.
- In non-Euclidean geometry, parallel lines may intersect or diverge, defying the Euclidean parallel postulate.
- The application of non-Euclidean geometry in astrophysics provides insights into the curvature of the universe.
- Hyperbolic geometry, a type of non-Euclidean geometry, models curved surfaces and spaces.
- The study of non-Euclidean geometry has led to the development of new mathematical concepts and theories.
- Escher's art often depicts non-Euclidean patterns, exploring the boundaries of perception.
- Non-Euclidean geometry has practical applications in architecture, design, and engineering.
- Riemann's geometry is a non-Euclidean geometry that provides a foundation for the study of curved surfaces.
- The concept of non-Euclidean geometry has expanded our understanding of the universe and its potential shapes.
FAQs About the word non-euclidean geometry
(mathematics) geometry based on axioms different from Euclid's
No synonyms found.
No antonyms found.
Non-Euclidean geometry challenges the traditional understanding of space and relationships.
The theories of non-Euclidean geometry have revolutionized modern physics and mathematics.
In non-Euclidean geometry, parallel lines may intersect or diverge, defying the Euclidean parallel postulate.
The application of non-Euclidean geometry in astrophysics provides insights into the curvature of the universe.