# Hyperbola

Constructs an hyperbola. The equation of a hyperbola with center at point $\left({c}_{1},{c}_{2}\right)$ with axes parallel to x- and y-axis is $\frac{\left(x-{c}_{1}{\right)}^{2}}{{a}^{2}}-\frac{\left(y-{c}_{2}{\right)}^{2}}{{b}^{2}}=1$.

## Syntax

```hyperbola(Real, Real, Point, Vector)
```
```hyperbola(Real, Real, Point)
```
```hyperbola(Real, Real, Vector)
```
```hyperbola(Real, Real)
```

## Description

Given two reals $a$ and $b$, a point $C$ and a vector $v$, constructs an hyperbola with semi major axis $a$, semi minor axis $b$, center at $C$ and orientation given by vector $v$.

Given two reals $a$ and $b$ and a point $C$, constructs an hyperbola with semi major axis $a$, semi minor axis $b$, center at $C$.

Given two reals $a$ and $b$ and a vector $v$, constructs an hyperbola with semi major axis $a$, semi minor axis $b$, center at origin and orientation given by vector $v$.

Given two reals $a$ and $b$, constructs an hyperbola with semi major axis $a$, semi minor axis $b$, center at origin.