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


$key = q/P=(2;3);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="80" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img1.png"
 ALT="$P=(2;3)$">|;

$key = q/displaystylefrac{x^2}{a^2}+frac{y^2}{b^2}=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="99" HEIGHT="60" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img3.png"
 ALT="$\displaystyle\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$">|;

$key = q/displaystylefrac{1}{a^2}=u,displaystylefrac{1}{b^2}=v;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="117" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img7.png"
 ALT="$\displaystyle\frac{1}{a^2}=u, \displaystyle\frac{1}{b^2}=v$">|;

$key = q/Q=(4;-1);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="94" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="$Q=(4;-1)$">|;

$key = q/P,Q;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img4.png"
 ALT="$P, Q$">|;

$key = q/displaystylefrac{x^2}{16}+frac{y^2}{9}=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="99" HEIGHT="60" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img16.png"
 ALT="$\displaystyle\frac{x^2}{16}+\frac{y^2}{9}=1$">|;

$key = q/a;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img13.png"
 ALT="$a$">|;

$key = q/displaystylefrac{16}{a^2}+frac{1}{b^2}=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img6.png"
 ALT="$\displaystyle\frac{16}{a^2}+\frac{1}{b^2}=1$">|;

$key = q/a=3;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img24.png"
 ALT="$a=3$">|;

$key = q/displaystylefrac{2x^2}{35}+frac{3y^2}{35}=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="117" HEIGHT="60" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img11.png"
 ALT="$\displaystyle\frac{2x^2}{35}+\frac{3y^2}{35}=1$">|;

$key = q/displaystylefrac{4}{a^2}+frac{9}{b^2}=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="97" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img5.png"
 ALT="$\displaystyle\frac{4}{a^2}+\frac{9}{b^2}=1$">|;

$key = q/displaystylee=frac{1}{sqrt{5}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="63" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img18.png"
 ALT="$\displaystyle e=\frac{1}{\sqrt{5}}$">|;

$key = q/displaystylee=frac{2}{3};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img23.png"
 ALT="$\displaystyle e=\frac{2}{3}$">|;

$key = q/b^2=5;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="51" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img26.png"
 ALT="$b^2=5$">|;

$key = q/u=displaystylefrac{2}{35};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="59" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img9.png"
 ALT="$u=\displaystyle\frac{2}{35}$">|;

$key = q/x;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img19.png"
 ALT="$x$">|;

$key = q/b=pm3;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img15.png"
 ALT="$b=\pm 3$">|;

$key = q/v=displaystylefrac{3}{35};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img10.png"
 ALT="$v=\displaystyle\frac{3}{35}$">|;

$key = q/a^2=5;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="53" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img21.png"
 ALT="$a^2=5$">|;

$key = q/displaystylee=frac{c}{a}=frac{sqrt{9-b^2}}{3}=frac{2}{3};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="171" HEIGHT="63" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img25.png"
 ALT="$\displaystyle
e=\frac{c}{a}=\frac{\sqrt{9-b^2}}{3}=\frac{2}{3}$">|;

$key = q/(pmsqrt{7};0);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img12.png"
 ALT="$(\pm\sqrt{7};0)$">|;

$key = q/2;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img17.png"
 ALT="$2$">|;

$key = q/displaystylefrac{x^2}{5}+frac{y^2}{4}=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="99" HEIGHT="60" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img22.png"
 ALT="$\displaystyle\frac{x^2}{5}+\frac{y^2}{4}=1$">|;

$key = q/{displaymath}left{array{{rl}4u+9v=116u+v=1array{right.{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="107" HEIGHT="54" BORDER="0"
 SRC="|."$dir".q|img8.png"
 ALT="\begin{displaymath}
\left \{
\begin{array}{rl}
4u+9v=1\\\\
16u+v=1
\end{array}
\right.
\end{displaymath}">|;

$key = q/c^2=a^2-b^2;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="96" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img14.png"
 ALT="$c^2=a^2-b^2$">|;

$key = q/displaystylee=frac{c}{a}=frac{sqrt{a^2-4}}{a}=frac{1}{sqrt{5}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="187" HEIGHT="63" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img20.png"
 ALT="$\displaystyle
e=\frac{c}{a}=\frac{\sqrt{a^2-4}}{a}=\frac{1}{\sqrt{5}}$">|;

$key = q/displaystylefrac{x^2}{9}+frac{y^2}{5}=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="99" HEIGHT="60" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img27.png"
 ALT="$\displaystyle\frac{x^2}{9}+\frac{y^2}{5}=1$">|;

1;