Definition:Cycloid/Generating Circle
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Definition
Consider a cycloid formed from the locus of a point $P$ on the circumference of a circle rolling without slipping along a straight line.
The circle which rolls along the straight line is called the generating circle of the cycloid.
Also known as
A generating circle can also be referred to as just the generator.
Sources
- 1972: George F. Simmons: Differential Equations ... (previous) ... (next): $1$: The Nature of Differential Equations: $\S 6$: The Brachistochrone. Fermat and the Bernoullis