f(t) = (at+b)/(ct

The set of points S={f(t)(

Inversely, every conic passing through the origin of coordinates and every set of two independent vectors {

This has been proved in ConicCharacterization.html . In ConicCharacterizationEllipse.html has been handled the case of ellipse and parabola.

Here I study the case of the hyperbola, in which the denominator has two different real roots, and the corresponding conic is a

In this case, absorbing some multipliers into vectors (

There is a degeneration possible when a=b or a=c. Then set S coincides with the set of points of a line (see ConicCharacterizationEllipse.html ).

The important thing in this case is the existence of the asymptotes. Their direction is obtained through vectors.

The figure suggests a way to find the center Q of the conic using the middle t

ConicCharacterizationEllipse.html

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