Esempio 1
L'ellisse $\displaystyle\frac{(x-4)^{2}}{12}+\frac{(y-3)^{2}}{36}=1$ ha le seguenti equazioni parametriche

\begin{displaymath}
\mathcal{C}:
\left\{
\begin{array}{rl}
(x-4)=2\sqrt{3}\cos\theta\\
(y-3)=6\sin\theta
\end{array}
\right.
\end{displaymath}

cioč

\begin{displaymath}
\mathcal{C}:
\left\{
\begin{array}{rl}
x=4+2\sqrt{3}\cos\theta\\
y=3+6\sin\theta
\end{array}
\right.
\end{displaymath}

inoltre

\begin{displaymath}
\mathcal{C}:
\left\{
\begin{array}{rl}
\displaystyle...
...displaystyle y=3+6\frac{2t}{t^{2}+1}
\end{array}
\right.
\end{displaymath}