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


$key = q/displaystylefrac{x^2}{4}-frac{y^2}{3}=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="99" HEIGHT="60" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img21.png"
 ALT="$ \displaystyle\frac{x^2}{4}-\frac{y^2}{3}=1$">|; 

$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/F=(pmsqrt{7};0);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="108" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img19.png"
 ALT="$ F=(\pm \sqrt{7};0)$">|; 

$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/b^2=c^2-a^2=7-4=3;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="190" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img20.png"
 ALT="$ b^2=c^2-a^2=7-4=3$">|; 

$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/V=(pm2;0);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="94" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img18.png"
 ALT="$ V=(\pm 2;0)$">|; 

$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="|."$dir".q|img29.png"
 ALT="$ \displaystyle\frac{x^2}{16}-\frac{y^2}{9}=1$">|; 

$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{10x^2}{13}-frac{3y^2}{13}=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="60" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img11.png"
 ALT="$ \displaystyle\frac{10x^2}{13}-\frac{3y^2}{13}=1$">|; 

$key = q/a=8;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=8$">|; 

$key = q/displaystylefrac{x^2}{9}-frac{y^2}{16}=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="100" HEIGHT="60" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img17.png"
 ALT="$ \displaystyle\frac{x^2}{9}-\frac{y^2}{16}=1$">|; 

$key = q/{displaymath}left{{array}{ll}4u-9v=116u-49v=1{array}right.{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="125" HEIGHT="60" BORDER="0"
 SRC="|."$dir".q|img8.png"
 ALT="\begin{displaymath}
\left \{
\begin{array}{ll}
4u-9v=1\\\\
16u-49v=1
\end{array}
\right.
\end{displaymath}">|; 

$key = q/2c=10;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img14.png"
 ALT="$ 2c=10$">|; 

$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/P=(4;-sqrt{6});MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="108" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img23.png"
 ALT="$ P=(4;-\sqrt{6})$">|; 

$key = q/displaystylefrac{x^2}{8}-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="|."$dir".q|img25.png"
 ALT="$ \displaystyle\frac{x^2}{8}-\frac{y^2}{b^2}=1$">|; 

$key = q/u=displaystylefrac{10}{13};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{10}{13}$">|; 

$key = q/b^2=16;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="60" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img16.png"
 ALT="$ b^2=16$">|; 

$key = q/10;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img13.png"
 ALT="$ 10$">|; 

$key = q/displaystylefrac{x^2}{8}-frac{y^2}{6}=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}{8}-\frac{y^2}{6}=1$">|; 

$key = q/y=pmdisplaystylefrac{3}{4}x;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="73" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img28.png"
 ALT="$ y=\pm\displaystyle\frac{3}{4}x$">|; 

$key = q/V=(pm3;0);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="94" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img12.png"
 ALT="$ V=(\pm
3;0)$">|; 

$key = q/b^2=c^2-a^2;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="96" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img15.png"
 ALT="$ b^2=c^2-a^2$">|; 

$key = q/Q=(4;7);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="80" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="$ Q=(4;7)$">|; 

$key = q/v=displaystylefrac{3}{13};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}{13}$">|; 

$key = q/displaystylefrac{16}{a^2}-frac{49}{b^2}=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="100" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img6.png"
 ALT="$ \displaystyle\frac{16}{a^2}-\frac{49}{b^2}=1$">|; 

$key = q/V=(pm2sqrt{2};0);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="117" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img22.png"
 ALT="$ V=(\pm2\sqrt{2};0)$">|; 

$key = q/b^2=6;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=6$">|; 

1;

