prolate cycloid
- noun
- /ˈproʊleɪt ˈsaɪkloɪd/
- Specialized
- When the tracing point is set outside the rolling circle's circumference, the resulting curve is a prolate cycloid.
Examples
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Mathematicians study the properties of the prolate cycloid to understand its unique geometric features.
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A prolate cycloid forms unique patterns.
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The path traced by the tip of a spoke on a rolling bicycle wheel is a prolate cycloid.
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The prolate cycloid is fascinating.
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Mathematicians study the properties of the prolate cycloid to understand its unique geometric features.
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The path traced by the tip of a spoke on a rolling bicycle wheel is a prolate cycloid.
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When the tracing point is set outside the rolling circle's circumference, the resulting curve is a prolate cycloid.
Surface Forms
Morphology
The adjective 'prolate' (oval, elongated) directly modifies 'cycloid' (a curve traced by a rolling circle), so a learner who knows both words can infer this refers to an elongated or oval-shaped cycloid. However, the precise technical sense (generated by a point outside the circle) is specialist mathematical knowledge beyond everyday composition, so the meaning is only partially predictable to a B1 learner.
Etymology
The noun prolate cycloid comes from the picture of a wheel rolling while a point set outside the wheel's edge traces a path. The word prolate suggests a 'stretched' or longer shape and cycloid means a curve made by a rolling wheel, so the name means the curve traced by a point 'outside the wheel'.