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line roulette

line roulette

9.9
A curve made by a point on a shape that rolls without sliding around another shape
  • noun
  • Specialized
translation icon : ruleta de línea
  • The path traced by a point on a wheel as it rolls along a straight line forms a line roulette.

Examples

  • The cycloid is a classic example of a line roulette in mathematics.

  • When constructing certain gears, engineers use the principles of line roulette to determine contact curves.

  • Studying the properties of a line roulette helps in understanding complex rolling motions in geometry.

  • The line roulette creates beautiful patterns.

  • Have you seen the line roulette in action?

  • In geometry, a line roulette illustrates how shapes can create interesting curves while rolling.

  • Engineers often analyze a line roulette to understand the motion of rolling objects in mechanical design.

Synonyms

roulette
vsline roulette
  • Specialized
8.6

A curve drawn by a point on a shape as it rolls along another shape

is the same meaning but uses a more specific compound name

Surface Forms

line roulette singular

Morphology

line + roulette

The compound is a straightforward noun+noun composition: 'line' modifies the technical noun 'roulette' (a curve traced by a point on a rolling figure), so the phrase denotes a roulette associated with a line or generated by a line. This compositional pattern is regular in English (and common cross-linguistically in technical terminology), so a learner who knows both constituents could infer the meaning.

Etymology

Line roulette comes from a simple rolling picture: imagine a shape with a marked point that rolls around another shape and the point draws a 'path' on the ground. The words line and roulette show this rolling idea, so line roulette means the 'curve' made when one shape rolls around another.