Let C be a unit circle centered at (2,0)
Let l be any line through the origin and intersecting C at points A1 and A2.
The locus P is the set of points on line l with OB=A1A2.
Find parametric equations for the locus of P.
The curve in the problem is figure 8 curve. It appears to be different from any lemniscates or related curves I could find on either Wikipedia or Mathworld.
When I conceived of the shape, I assumed it was one of these. Playing with their parameters I couldn't get them to fit my curve. I have a nice Desmos graph I will share soon, but I only have a complicated parametric form.
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Posted by Jer
on 2021-07-04 10:40:26 |
Lots of 8's
