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TEAR DROP CURVE


Cartesian parametrization: .
Cartesian equation: .
Portion of a unicursal algebraic curve of degree n + 2 when n is an integer.
(the other portion, when n is odd, is parametrized by ).

For n = 1, we get the loop of the right parabolic folium.
For n = 2, we get the piriform quartic, up to homothety.

Another curve looking like a tear drop: the Rosillo curve.
 
 
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© Robert FERRÉOL  2017