plane curve in a sentence

Examples

1. I am interested in plane curves only.
2. The second generalized curvature is called "'torsion "'and measures the deviance of from being a plane curve.
3. I realize the formula only holds if the plane curve does not cross the axis of rotation.
4. Consider the affine plane curve defined by the equation y ^ 2 = x ^ 5 + 1.
5. It starts with a plane curve, and repeatedly applies birational transformations to the plane to improve the curve.
6. For example, the disjoint union of a Sierpinski carpet and a circle is also a universal plane curve.
7. The plane curves of degree 3 are called cubic plane curves and, if they are non-singular, elliptic curves.
8. Thus for " g " = 3 the canonical curves ( non-hyperelliptic case ) are quartic plane curves.
9. The plane curves of degree 3 are called cubic plane curves and, if they are non-singular, elliptic curves.
10. The affine focal set of a plane curve will cusp points ( semi-cubical palabara | semi-cubical parabolae ).