next surface  previous surface  2D curves  3D curves  surfaces  fractals  polyhedra 
TANGENT DEVELOPABLE OF A CURVE
It is a developable surface the cuspidal edge of which is the curve .
Besides, any developable surface different from a cone
or a cylinder is the tangent developable of the envelope of its generatrices.
The curve
is algebraic iff its associated
developable also is (?).
The algebraic developable surfaces (other than the cones and cylinders) of lowest degree are of degree 4, and they are the developables associated to the skew cubic curves. Opposite, the tangent developable of the skew parabola, with Cartesian equation: . On the right, some other algebraic developables. 

next surface  previous surface  2D curves  3D curves  surfaces  fractals  polyhedra 
© Robert FERRÉOL 2017