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


$key = q/includegraphics[width=9cm,height=7.5cm]{e-fuochidir};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="408" HEIGHT="339" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img13.png"
 ALT="\includegraphics[width=9cm,height=7.5cm]{e-fuochidir}">|; 

$key = q/{displaymath}(x^{2}-2x+1)+8y^{2}+16y-1=0{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="256" HEIGHT="31" BORDER="0"
 SRC="|."$dir".q|img43.png"
 ALT="\begin{displaymath}
(x^{2}-2x+1)+8y^{2}+16y-1=0
\end{displaymath}">|; 

$key = q/e=0;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img5.png"
 ALT="$e=0$">|; 

$key = q/b=5;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img16.png"
 ALT="$b=5$">|; 

$key = q/a;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img23.png"
 ALT="$a$">|; 

$key = q/{displaymath}c=sqrt{a^{2}-b^{2}}=sqrt{9-3}=pmsqrt{6}{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="236" HEIGHT="29" BORDER="0"
 SRC="|."$dir".q|img31.png"
 ALT="\begin{displaymath}
c=\sqrt{a^{2}-b^{2}}=\sqrt{9-3}=\pm\sqrt{6}
\end{displaymath}">|; 

$key = q/{displaymath}frac{(X-1)^{2}}{(3)^{2}}+frac{(Y+1)^{2}}{left(displaystylefrac{3}{2sqrt{2}}right)^{2}}=1.{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="196" HEIGHT="73" BORDER="0"
 SRC="|."$dir".q|img47.png"
 ALT="\begin{displaymath}
\frac{(X-1)^{2}}{(3)^{2}}+\frac{(Y+1)^{2}}{\left(
\displaystyle \frac{3}{2\sqrt{2}} \right)^{2}}=1.
\end{displaymath}">|; 

$key = q/includegraphics[width=9cm,height=10cm]{e-ruotata};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="408" HEIGHT="453" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img38.png"
 ALT="\includegraphics[width=9cm,height=10cm]{e-ruotata}">|; 

$key = q/(-c,0);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img12.png"
 ALT="$(-c,0)$">|; 

$key = q/{displaymath}{(x-1)}^{2}+8(y^{2}+2y+1)=9{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="221" HEIGHT="31" BORDER="0"
 SRC="|."$dir".q|img45.png"
 ALT="\begin{displaymath}
{(x-1)}^{2}+8(y^{2}+2y+1)=9
\end{displaymath}">|; 

$key = q/displaystylee=frac{c}{a};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="46" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img3.png"
 ALT="$\displaystyle
e=\frac{c}{a}$">|; 

$key = q/3x^{2}+9y^{2}=27;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="118" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img25.png"
 ALT="$3x^{2}+9y^{2}= 27$">|; 

$key = q/Y=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img50.png"
 ALT="$Y=1$">|; 

$key = q/F=(pm3,0);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="94" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img20.png"
 ALT="$F=(\pm3,0)$">|; 

$key = q/x;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img17.png"
 ALT="$x$">|; 

$key = q/displaystylex=pmfrac{a}{e};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="64" HEIGHT="46" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img8.png"
 ALT="$\displaystyle x=\pm \frac{a}{e}$">|; 

$key = q/c=sqrt{b^{2}-a^{2}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="103" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img37.png"
 ALT="$c=\sqrt{b^{2}-a^{2}}$">|; 

$key = q/displaystylec=sqrt{a^{2}-b^{2}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="104" HEIGHT="43" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img1.png"
 ALT="$\displaystyle c=\sqrt{a^{2}-b^{2}}$">|; 

$key = q/27;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img26.png"
 ALT="$27$">|; 

$key = q/B;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img22.png"
 ALT="$B$">|; 

$key = q/(3,0),(-3,0);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="103" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img29.png"
 ALT="$(3,0),(-3,0)$">|; 

$key = q/O;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img14.png"
 ALT="$O$">|; 

$key = q/b=displaystylefrac{3}{2sqrt{2}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img52.png"
 ALT="$b=\displaystyle\frac{3}{2\sqrt{2}}$">|; 

$key = q/displaystylex=frac{a}{e};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="51" HEIGHT="46" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img9.png"
 ALT="$\displaystyle x=\frac{a}{e}$">|; 

$key = q/displaystylex=-frac{a}{e};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="64" HEIGHT="46" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img11.png"
 ALT="$\displaystyle x=-\frac{a}{e}$">|; 

$key = q/C=(-1,1);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="94" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img48.png"
 ALT="$C=(-1,1)$">|; 

$key = q/F=(0,c),F'(0,-c);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="156" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img36.png"
 ALT="$F=(0,c), F'(0,-c)$">|; 

$key = q/y;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img35.png"
 ALT="$y$">|; 

$key = q/{displaymath}(x-1)^{2}+frac{(y+1)^{2}}{left(displaystylefrac{1}{2sqrt{2}}right)^{2}}=9{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="183" HEIGHT="73" BORDER="0"
 SRC="|."$dir".q|img46.png"
 ALT="\begin{displaymath}
(x-1)^{2}+\frac{(y+1)^{2}}{\left(\displaystyle \frac{1}{2\sqrt{2}}
\right)^{2}}=9
\end{displaymath}">|; 

$key = q/(pmc,0);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="$(\pm c,0)$">|; 

$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="|."$dir".q|img51.png"
 ALT="$a=3$">|; 

$key = q/{displaymath}(x-1)^{2}+8y^{2}+16y+8-8-1=0{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="276" HEIGHT="31" BORDER="0"
 SRC="|."$dir".q|img44.png"
 ALT="\begin{displaymath}
(x-1)^{2}+8y^{2}+16y+8-8-1=0
\end{displaymath}">|; 

$key = q/(c,0);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img10.png"
 ALT="$(c,0)$">|; 

$key = q/eneq0;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img7.png"
 ALT="$e\neq
0$">|; 

$key = q/displaystylec=sqrt{a^{2}-b^{2}}=sqrt{25-16}=pm3;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="244" HEIGHT="43" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img19.png"
 ALT="$\displaystyle c=\sqrt{a^{2}-b^{2}}=\sqrt{25-16}=\pm3$">|; 

$key = q/a=3,b=sqrt{3};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="107" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img28.png"
 ALT="$a=3, b=\sqrt{3}$">|; 

$key = q/a>b;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img32.png"
 ALT="$a&gt;b$">|; 

$key = q/{displaymath}left{array{{l}x=X-1y=Y+1array{right.{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="97" HEIGHT="54" BORDER="0"
 SRC="|."$dir".q|img53.png"
 ALT="\begin{displaymath}
\left \{
\begin{array}{l}
x=X-1\\\\
y=Y+1\\\\
\end{array}
\right.
\end{displaymath}">|; 

$key = q/{displaymath}frac{x^{2}}{3^{2}}+frac{y^{2}}{(sqrt{3})^{2}}=1{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="120" HEIGHT="51" BORDER="0"
 SRC="|."$dir".q|img27.png"
 ALT="\begin{displaymath}
\frac{x^{2}}{3^{2}}+\frac{y^{2}}{(\sqrt{3})^{2}}= 1
\end{displaymath}">|; 

$key = q/includegraphics[width=9cm,height=7.5cm]{e-compasso};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="408" HEIGHT="339" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img24.png"
 ALT="\includegraphics[width=9cm,height=7.5cm]{e-compasso}">|; 

$key = q/{displaymath}displaystylefrac{X^{2}}{9}+frac{Y^{2}}{displaystylefrac{9}{8}}=1.{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="108" HEIGHT="66" BORDER="0"
 SRC="|."$dir".q|img55.png"
 ALT="\begin{displaymath}
\displaystyle\frac{X^{2}}{9}+\frac{Y^{2}}{\displaystyle\frac{9}{8}}=1.
\end{displaymath}">|; 

$key = q/F=(sqrt{6},0),F'=(-sqrt{6},0);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="210" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img33.png"
 ALT="$F=(\sqrt{6},0),F'=(-\sqrt{6},0)$">|; 

$key = q/displaystylemathcal{C}:x^2+8y^2-2x+16y=0;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="213" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img42.png"
 ALT="$\displaystyle \mathcal{C}:x^2+8y^2-2x+16y=0$">|; 

$key = q/d(B,F')=d(B,F)=a=d(O,A);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="261" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img21.png"
 ALT="$d(B,F')=d(B,F)=a=d(O,A)$">|; 

$key = q/displaystylemathcal{C}:frac{x^{2}}{25}+frac{y^{2}}{16}=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="125" HEIGHT="60" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img18.png"
 ALT="$\displaystyle\mathcal{C}:\frac{x^{2}}{25}+\frac{y^{2}}{16}= 1$">|; 

$key = q/displaystylefrac{(x-c)^{2}}{a^{2}}+frac{(y-d)^{2}}{b^{2}}=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="186" HEIGHT="60" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img39.png"
 ALT="$\displaystyle\frac{(x-c)^{2}}{a^{2}}+\frac{(y-d)^{2}}{b^{2}}=1$">|; 

$key = q/{displaymath}frac{X^{2}}{(3)^{2}}+frac{Y^{2}}{left(displaystylefrac{3}{2sqrt{2}}right)^{2}}=1,{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="160" HEIGHT="73" BORDER="0"
 SRC="|."$dir".q|img54.png"
 ALT="\begin{displaymath}
\frac{X^{2}}{(3)^{2}}+\frac{Y^{2}}{\left(\displaystyle\frac{3}{2\sqrt{2}}\right)^{2}}=1,
\end{displaymath}">|; 

$key = q/X=c,Y=d;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="105" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img40.png"
 ALT="$X=c, Y=d$">|; 

$key = q/{displaymath}left{array{{l}x=X-c,y=Y-darray{right.{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="54" BORDER="0"
 SRC="|."$dir".q|img41.png"
 ALT="\begin{displaymath}
\left \{
\begin{array}{l}
x=X-c\\\\
 
y=Y-d\\\\
\end{array}
\right.
\end{displaymath}">|; 

$key = q/(sqrt{3},0),(-sqrt{3},0);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="132" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img30.png"
 ALT="$(\sqrt{3},0),(-\sqrt{3},0)$">|; 

$key = q/0leqe<1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="76" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img4.png"
 ALT="$0\leq e&lt;1$">|; 

$key = q/mathcal{C};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img6.png"
 ALT="$\mathcal{C}$">|; 

$key = q/a=4;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img15.png"
 ALT="$a=4$">|; 

$key = q/a<b;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img34.png"
 ALT="$a&lt;b$">|; 

$key = q/X=-1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img49.png"
 ALT="$X=-1$">|; 

1;

