next curve | previous curve | 2D curves | 3D curves | surfaces | fractals | polyhedra |
GRANVILLE EGG
Curve considered by Granville in 1908. |
The Granville egg is the hyperbolism
of a circle with centre B with respect to a point O and a
line (D) perpendicular to (OB)
Parameter for the opposite curve: a = 4, b = 5, r = 1. |
![]() |
Cartesian equation for B(b, 0), (D)
: x = a and a circle with radius r: Cartesian parametrization: Rational quartic. |
Case a = b= 2r | When r = b = a/2, this quartic is composed of the witch of Agnesi and the abscissa axis | When r = a, b = 0, we get the Külp quartic |
![]() |
![]() |
![]() |
Other ovoid quartic: |
![]() |
Compare to the Rosillo curves and see other eggs at ovoid.
next curve | previous curve | 2D curves | 3D curves | surfaces | fractals | polyhedra |
© Robert FERRÉOL
2017