mirror of https://github.com/CGAL/cgal
40 lines
993 B
TeX
40 lines
993 B
TeX
%$ (x,y) =
|
|
%\Bigg(
|
|
%\frac{\left|\begin{array}{cc}b_1& c_1 \\ b_2 & c_2\end{array}\right|}
|
|
% {\left|\begin{array}{cc}a_1& b_1 \\ a_2 & b_2\end{array}\right|},
|
|
%\frac{-\left|\begin{array}{cc}a_1& c_1 \\ a_2 & c_2\end{array}\right|}
|
|
% {\phantom{-}\left|\begin{array}{cc}a_1& b_1 \\ a_2 & b_2\end{array}\right|}
|
|
%\Bigg)
|
|
%$
|
|
%$ (x,y,w) =
|
|
%\Bigg(
|
|
%{\left|\begin{array}{cc}b_1& c_1 \\ b_2 & c_2\end{array}\right|},
|
|
%{-\left|\begin{array}{cc}a_1& c_1 \\ a_2 & c_2\end{array}\right|},
|
|
%{\left|\begin{array}{cc}a_1& b_1 \\ a_2 & b_2\end{array}\right|}\Bigg)
|
|
%$
|
|
%${\mbox{\small sign}}\left|
|
|
%\begin{array}{ccc}
|
|
%{x_1} & {y_1} & w_1 \\
|
|
%{x_2} & {y_2} & w_2 \\
|
|
%{x_3} & {y_3} & w_3 \\
|
|
%\end{array}
|
|
%\right|
|
|
%$
|
|
$
|
|
{\mbox{\small sign}}\left|
|
|
\begin{array}{ccc}
|
|
{x_1} & {y_1} & 1 \\
|
|
{x_2} & {y_2} & 1 \\
|
|
{x_3} & {y_3} & 1 \\
|
|
\end{array}
|
|
\right| =
|
|
{\mbox{\small sign}}\left|
|
|
\begin{array}{ccc}
|
|
{x_1 - x_3} & {y_1 - y_3} & 0 \\
|
|
{x_2 - x_3} & {y_2 - y_3} & 0 \\
|
|
{x_3} & {y_3} & 1 \\
|
|
\end{array}
|
|
\right|
|
|
$
|
|
|