Parabolic Geometry (Noun)
Meaning
(mathematics) geometry based on Euclid's axioms.
Classification
Nouns denoting cognitive processes and contents.
Examples
- Parabolic geometry generalizes the theory of Euclidean and hyperbolic geometry by replacing the sphere in Euclid's parallel postulate with a space of constant curvature zero.
- Many concepts and techniques from parabolic geometry, especially those concerning differential equations, have been widely applicable in topology.
- Euclid's five postulates form a foundation for parabolic geometry, which enabled mathematicians to solve geometric problems with high accuracy.
- Properties of parabolic geometry are studied in a wide range of topology settings.
- Parabolic geometry has undergone several evolutionary developments to overcome limitations of Euclid's original postulates.