Discussion
Match the curve with how it is generated.
1. Involute 2. Cycloid 3. Epicycloid
P. A circle rolling outside another circle Q. A string unwound from a shape R. A circle rolling along a straight line
Answer: D
Correct answer: 1-Q, 2-R, 3-P
Three curves generated three different ways. An involute is traced by the end of a taut string unwound from a shape, which is why it is the profile used for gear teeth. A cycloid comes from a circle rolling along a straight line, and an epicycloid from a circle rolling outside another circle.
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