#acl All:read
#format wiki
#pragma section-numbers 3
#language en

<<latex(\usepackage{dsfont} % $$\mathds{C}$$)>>

{{{#!latex
\begin{equation}
x=R\frac{\beta\theta}{\sqrt{\alpha\beta}}\cos{(\alpha\phi)}
\end{equation}

\begin{eqnarray}
y & = & R\frac{\alpha\phi}{\sqrt{\alpha\beta}} \\
\alpha & = & \frac{2\arccos{c}}{\pi} \\
\beta & = & \frac{\alpha}{2p}
\end{eqnarray}
}}}

where <<latex($$\theta$$)>> is the longitude and <<latex($$\phi$$)>> the latitude. R is the
radius of the sphere, which is 1 in our program. <<latex($$c=0.5$$)>> and
<<latex($$p=0.5$$)>> are two constants controlling the shape of the projection.