geodesic line: meaning, definition, pronunciation and examples

C2+ / Very Low
UK/ˌdʒiːə(ʊ)ˈdɛsɪk laɪn/US/ˌdʒiːoʊˈdɛsɪk laɪn/

Technical/Scientific

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Quick answer

What does “geodesic line” mean?

The shortest possible path between two points on a curved surface or in a curved space, analogous to a straight line on a flat plane.

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Pronunciation

Definition

Meaning and Definition

The shortest possible path between two points on a curved surface or in a curved space, analogous to a straight line on a flat plane.

A concept from geometry and physics that describes an extremal path, often related to the structure of spacetime in general relativity or the optimization of routes on a sphere.

Dialectal Variation

British vs American Usage

Differences

No significant lexical or orthographic differences. The term is identical in both variants.

Connotations

Purely technical, no connotative difference.

Frequency

Equally rare and specialised in both dialects.

Grammar

How to Use “geodesic line” in a Sentence

The geodesic line [between X and Y]A geodesic line [on a surface]To calculate/follow the geodesic line

Vocabulary

Collocations

strong
calculate a geodesic linefollow a geodesic linethe geodesic line betweenshortest geodesic line
medium
plot the geodesic linedetermine the geodesic linedeviate from the geodesic line
weak
along a geodesic lineconcept of a geodesic lineprinciple of the geodesic line

Examples

Examples of “geodesic line” in a Sentence

verb

British English

  • The algorithm geodetically computes the path.
  • (Note: 'geodesic' is not a verb. Related adverbial form 'geodetically' is hyper-technical.)

American English

  • The software geodesically maps the route.
  • (Note: 'geodesic' is not a verb. Related adverbial form 'geodesically' is hyper-technical.)

adverb

British English

  • The signal travelled geodetically across the curved network.

American English

  • The path was calculated geodesically for maximum efficiency.

adjective

British English

  • They studied the geodesic properties of the manifold.

American English

  • The geodesic structure of spacetime is fundamental to relativity.

Usage

Meaning in Context

Business

Virtually never used.

Academic

Core term in advanced geometry, differential geometry, general relativity, and geospatial sciences.

Everyday

Extremely rare. Might be encountered in popular science contexts.

Technical

The primary context. Used in mathematics, physics (especially cosmology), cartography, and computer graphics.

Vocabulary

Synonyms of “geodesic line”

Strong

shortest path (on a curved surface)

Neutral

geodesicgeodesic path

Weak

extremal pathstraightest possible line (in a curved space)

Vocabulary

Antonyms of “geodesic line”

non-geodesic pathdeviated path

Watch out

Common Mistakes When Using “geodesic line”

  • Mispronouncing 'geodesic' as /'dʒi:oʊdɪk/ or /'gɛodɛsɪk/.
  • Using it to refer to any curved line, rather than specifically the *shortest* path on a curved surface.
  • Confusing 'geodesic line' with 'great circle' (a geodesic line on a perfect sphere *is* a great circle arc, but the terms are not equivalent on arbitrary surfaces).

FAQ

Frequently Asked Questions

On a perfectly flat plane, yes. On any curved surface or in curved space, a geodesic line is the generalisation of a straight line—it is the 'straightest' or shortest possible path.

The most common example is the flight path of a long-distance aeroplane, which appears as a curve on a flat map but is a geodesic (segment of a great circle) on the spherical Earth.

In precise modern use, 'geodesic' relates to the abstract mathematical concept of shortest paths. 'Geodetic' (or 'geodesy') relates to the practical science of measuring the Earth's shape and gravitational field. They are often conflated in non-technical language.

Yes. On some surfaces, like a sphere, you can start walking in a straight line (a great circle) and eventually return to your starting point, creating a closed geodesic.

The shortest possible path between two points on a curved surface or in a curved space, analogous to a straight line on a flat plane.

Geodesic line is usually technical/scientific in register.

Geodesic line: in British English it is pronounced /ˌdʒiːə(ʊ)ˈdɛsɪk laɪn/, and in American English it is pronounced /ˌdʒiːoʊˈdɛsɪk laɪn/. Tap the audio buttons above to hear it.

Phrases

Idioms & Phrases

  • None

Learning

Memory Aids

Mnemonic

Imagine a globe and a string pulled taut between two cities; the string lies along a GEOdesic LINE, the GEOgraphically shortest LINE.

Conceptual Metaphor

THE SHORTEST PATH IS A STRAIGHT LINE (extended to curved contexts).

Practice

Quiz

Fill in the gap
In Einstein's theory of general relativity, objects in freefall move along a through curved spacetime.
Multiple Choice

What is the primary defining characteristic of a geodesic line?