hyperbolic geometry Sentence Examples

  1. Hyperbolic geometry, a non-Euclidean geometry, challenges the notion of parallel lines.
  2. In hyperbolic geometry, the sum of the interior angles of a triangle is less than 180 degrees.
  3. The famous Escher drawing "Circle Limit IV" exemplifies the paradoxical nature of hyperbolic geometry.
  4. Hyperbolic surfaces have a negative curvature, which gives them saddle-like shapes.
  5. The Poincaré disk model and the Klein disk model are two common models used to visualize hyperbolic geometry.
  6. Hyperbolic geometry finds applications in architecture, art, and theoretical physics.
  7. The Lobachevsky plane is a fundamental example of hyperbolic geometry with constant negative curvature.
  8. Hyperbolic knots are knots that are tied in hyperbolic 3-space and exhibit unique properties.
  9. The Gauss-Bonnet theorem provides a useful tool for understanding the geometry of hyperbolic surfaces.
  10. Hyperbolic geometry has influenced the development of modern mathematics and theoretical models in various fields.

hyperbolic geometry Meaning

Wordnet

hyperbolic geometry (n)

(mathematics) a non-Euclidean geometry in which the parallel axiom is replaced by the assumption that through any point in a plane there are two or more lines that do not intersect a given line in the plane

Synonyms & Antonyms of hyperbolic geometry

No Synonyms and anytonyms found

FAQs About the word hyperbolic geometry

(mathematics) a non-Euclidean geometry in which the parallel axiom is replaced by the assumption that through any point in a plane there are two or more lines t

No synonyms found.

No antonyms found.

Hyperbolic geometry, a non-Euclidean geometry, challenges the notion of parallel lines.

In hyperbolic geometry, the sum of the interior angles of a triangle is less than 180 degrees.

The famous Escher drawing "Circle Limit IV" exemplifies the paradoxical nature of hyperbolic geometry.

Hyperbolic surfaces have a negative curvature, which gives them saddle-like shapes.