Curves

Moira Chas, Feb 29, 2016


  • 1. Lemniscate of Bernoulli
  • 2. Watt's Linkage
  • 3. Lemniscate of Booth.
  • 4. Elliptical Trainer Linkage 3
  • 5. Elliptical Trainer Linkage 4
  • 6. Epicycloids
  • 7. Möbius Transformations of Doyle Circles
  • 8. Curve of Pursuit

1.

Lemniscate of Bernoulli

Move the yellow point! It is easier to show the curve by constructing it from the circles, and then trace the midpoint M or use the Locus-tool. If doing so, the movement of M becomes asymmetrical. For that reason, this construction starts with a point M moving along the curve. The circles/segments/points are then constructed from this point, only to display the mechanism.
– Malin Christersson

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