Let's consider the following cases:

### A) hyperbole with center in origin and foci in axis Ox

**F _{1}** (-c, 0)

**F**(c, 0)

_{2}Applying the definition of hyperbole:

We get the hyperbole equation:

### B) hyperbole with center in origin and foci in axis Oy

Under these conditions, the hyperbole equation is: