hyperbola

The same construction can also be applied to the hyperbola.

Note that in a hyperbola b can be larger than a.

In the remaining case, the figure is a hyperbola.

Both curves are regarded as branches of the same hyperbola.

This property can be employed as a method of drawing a hyperbola.

At large distances from the center, the branches of the hyperbola approach two straight lines.

For instance, the power series is absolutely convergent in the set between two hyperbolas.

Let P be the intersection (upper) of the hyperbola with the circle.

This property has given the hyperbola an important role in radar and radio communications generally.

Two different hyperbola will be formed on either side of the tangent plane.

A few other lengths are used to describe hyperbolas.

A hyperbola can be defined mathematically in several equivalent ways.

A horizontal slice through the shell will reveal a hyperbola.

The two branches of the above type of hyperbola open to the left and the right.

Now the line of the centres is a hyperbola.

This provides a simple technique for constructing a hyperbola, as shown below.

The two disconnected curves that make up a hyperbola are called arms or branches.

Thus, an hyperbola is a simple idea, but its construction exacts two curves.

There the asymptotes of the unit hyperbola form a light cone.

The eccentricity of a hyperbola is greater than 1.

The eccentricity of a hyperbola can be any real number greater than 1, with no upper bound.

The distance c is known as the linear eccentricity of the hyperbola.

Thus it is the distance from the center to either vertex (turning point) of the hyperbola.

If we assume that the total cost is constant, then curve will be a rectangular hyperbola.

Hyperbolas can be found in many places in nature.