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ATRIPHTHALOID

cas b = 2a

Curve studied by Haughton and Townsend in 1882, in order to model the form of the surface of the seas covering an attractive sphere.
From the Greek atriptos "frictionless" and thalassa  "sea".

 
Cartesian/polar equation: .

Polar equation: .
Cartesian equation: , i.e. .
Circular sextic.

 
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© Robert FERRÉOL  2016