parabolic geometry

9.9

A branch of mathematics that follows Euclid's rules for flat space

noun
/ˌpɛrəˈbɑlɪk dʒiˈɒmɪtri/

Specialized

: geometría parabólica

Unlike hyperbolic or elliptic systems, parabolic geometry strictly follows Euclid's five postulates.

Examples

In parabolic geometry, parallel lines never meet.
The principles of parabolic geometry are foundational for classical mathematics.
Researchers compared properties in parabolic geometry with those in other non-Euclidean frameworks.
Many mathematicians study parabolic geometries in their research.
The principles of parabolic geometry are foundational for classical mathematics.
Unlike hyperbolic or elliptic systems, parabolic geometry strictly follows Euclid's five postulates.
Researchers compared properties in parabolic geometry with those in other non-Euclidean frameworks.

Synonyms

Euclidean geometry

vsparabolic geometry

Specialized

1 6.5

Study of flat space and shapes using Euclid's basic rules

is a branch that follows Euclid's axioms and differs from curved systems

Surface Forms

parabolic geometry singular

parabolic geometries plural

Morphology

parabolic + geometry

The phrase is compositionally built from 'parabolic' (relating to a parabola) + 'geometry' (the study of shapes), so a learner who knows both constituents can infer it denotes the branch of geometry concerned with parabolas. While deeper technical distinctions (Euclidean vs. hyperbolic/elliptic) are specialist, the core meaning is directly derivable and cross-linguistically transparent.

Etymology

Parabolic geometry may come from the word parabola, a simple U-shaped curve that sits between the 'saddle' shape of hyperbolic geometry and the round 'ball' of elliptic geometry. That middle image helps you remember that parabolic geometry behaves like ordinary geometry and 'follows Euclid's rules'.