Here are a few odd and erudite examples from Ms Google: A Prolate, or Inflected Cycloid, is in like manner the path of some point taken within the generating circle. Thus, if, while the circle rolls along the line AB, the point R be taken without the circle, it will describe or trace out the curtate or contracted cycloid RST; but the point being taken within the circle, it will describe the prolate or inflected cycloid RVW. Here are examples of maximally inflected quartic curves with all possibilities for the ramification.
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Mister MicawberHere are a few odd and erudite examples from Ms Google:
A Prolate, or Inflected Cycloid, is in like manner the path of some point taken within the generating circle. Thus, if, while the circle rolls along the line AB, the point R be taken without the circle, it will describe or trace out the curtate or contracted cycloid RST; but the point