plane curve

It is the only plane curve with the property of equiangularity.

We shall compute this now for a family of plane curves.

If a function of the form cannot be postulated, one can still try to fit a plane curve.

Let C be a plane curve (the precise technical assumptions are given below).

In the case of plane curves, where the formula becomes:

This is related to the fact that the plane curve has a singularity at the origin.

The catenary is the only plane curve other than a horizontal line with this property.

Each convex plane curve has a centre of mass.

Those of degree four are called quartic plane curves.

Sierpiński demonstrated that his carpet is a universal plane curve.

This implies the vector function is a plane curve.

A circle is a closed plane curve where every point is equally distant from the centre.

Plane curves, affine varieties, the group law on the cubic, and applications.

The circle is the plane curve enclosing the maximum area for a given arc length.

Consider the affine plane curve defined by the equation .

For such a plane curve, there exists a reparametrization with respect to arc length s.

It is a subtle point even today that a real algebraic plane curve cannot enter a disk without leaving.

For plane curves, one can choose to check solubility of the desingularised curve.

Let be an open interval, and be a parametrisation of a smooth plane curve.

A conic is a degree 2 plane curve, thus defined by an equation:

The problem asks for the region of smallest area that can accommodate every plane curve of length 1.

A plane curve with non-vanishing curvature has zero torsion at all points.

Generally, to be called an oval, a plane curve should resemble the outline of an egg or an ellipse.

The building design uses plane curves on its roof to permit light to enter its entire large terminal hall.

The bifolium is a quartic plane curve of the equation: