parametric equation

A flat can also be described by a system of linear parametric equations.

In the special case of parametric equations the independent variables are called the parameters.

The fish curve itself may not have any known applications to physical systems, but parametric equations in general do.

A somewhat more detailed description can be found at parametric equation.

Here the parametric equation of a line in the view plane is:

The torus is defined by the following set of parametric equations.

The first derivative of the parametric equations above is given by:

In mathematics, 'parametric equations' are a method of defining a function using parameters.

These are the parametric equations for a cycloid.

Parametric equations for the curve can be obtained by integrating:

Parametric equations are convenient for describing curves in higher-dimensional spaces.

A typical example of right conoids is given by the parametric equations:

These two equations are the parametric equations of the Mohr circle.

Fish curves can correspond to ellipses with parametric equations.

In cylindrical coordinates, it is described by the parametric equations:

It can be described by the following parametric equations in Cartesian coordinates:

A curve in the xy plane can be defined by parametric equations:

These are in the form of the standard parametric equations for an ellipse in canonical position.

The parametric equation of the fold is then:

The parametric equations of the folds are thus:

In polar coordinates the involute of a circle has the parametric equation:

The parametric equations of a bicorn curve are:

The trefoil knot can be defined as the curve obtained from the following parametric equations:

Wallis's conical edge is a ruled surface given by the parametric equations:

In linear algebra, the system of parametric equations can be written as a single vector equation: