# LaTeX2HTML 2002 (1.62)
# Associate images original text with physical files.


$key = q/alpha,betainmathbfR;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img4.png"
 ALT="$\alpha,\beta\in \mathbf R$">|; 

$key = q/{displaymath}left{array{{c}x'=m_{11}x+m_{12}y+alphay'=m_{21}x+m_{22}y+betaarray{right.{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="188" HEIGHT="54" BORDER="0"
 SRC="|."$dir".q|img1.png"
 ALT="\begin{displaymath}
\left\{
\begin{array}{c}
x'=m_{11}x+m_{12}y+\alpha \\\\
y'=m_{21}x+m_{22}y+\beta
\end{array}
\right.
\end{displaymath}">|; 

$key = q/{displaymath}left(array{{c}x'y'1array{right)=left(tabular{{ccc}&multicolumn{2}{c,0&1tabular{right)left(array{{c}xy1array{right),{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="256" HEIGHT="73" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="\begin{displaymath}
\left(
\begin{array}{c}
x'\ y'\ 1
\end{array}
\right)...
...ht)\left(
\begin{array}{c}
x\ y\ 1
\end{array}
\right),
\end{displaymath}">|; 

$key = q/mathrmP=mathrmM^{-1};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="74" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img6.png"
 ALT="$\mathrm P=\mathrm M^{-1}$">|; 

$key = q/mathrmM=left(array{{cc}m_{11}&m_{12}m_{21}&m_{22}array{right);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="160" HEIGHT="64" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img3.png"
 ALT="$\mathrm M=\left(
\begin{array}{cc}
m_{11} &amp; m_{12}\\\\
m_{21} &amp; m_{22}
\end{array}
\right)$">|; 

$key = q/{displaymath}left(array{{c}xy1array{right)=left(tabular{{ccc}&multicolumn{2}{c}{&1tabular{right)left(array{{c}x'y'1array{right),{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="255" HEIGHT="73" BORDER="0"
 SRC="|."$dir".q|img5.png"
 ALT="\begin{displaymath}
\left(
\begin{array}{c}
x\ y\ 1
\end{array}
\right)= ...
...)\left(
\begin{array}{c}
x'\ y'\ 1
\end{array}
\right),
\end{displaymath}">|; 

1;

