line roulette
- noun
- Specialized
- The path traced by a point on a wheel as it rolls along a straight line forms a line roulette.
Examples
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The cycloid is a classic example of a line roulette in mathematics.
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When constructing certain gears, engineers use the principles of line roulette to determine contact curves.
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Studying the properties of a line roulette helps in understanding complex rolling motions in geometry.
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The line roulette creates beautiful patterns.
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Have you seen the line roulette in action?
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In geometry, a line roulette illustrates how shapes can create interesting curves while rolling.
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Engineers often analyze a line roulette to understand the motion of rolling objects in mechanical design.
Synonyms
A curve drawn by a point on a shape as it rolls along another shape
Surface Forms
Morphology
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.