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


$key = q/{displaymath}mathcal{C}:frac{x^{2}}{a^{2}}-frac{y^{2}}{b^{2}}=1;,(a>0,b>0)vspace{2mm}{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="162" HEIGHT="68" BORDER="0"
 SRC="|."$dir".q|img1.png"
 ALT="\begin{displaymath}
\mathcal{C}:\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}= 1 \;  
(a&gt;0,b&gt;0)
\vspace{2mm}
\end{displaymath}">|; 

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

$key = q/x^{2}displaystyle(frac{1}{a^{2}}-frac{m^{2}}{b^{2}})=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="136" HEIGHT="60" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img16.png"
 ALT="$x^{2}\displaystyle(\frac{1}{a^{2}}-\frac{m^{2}}{b^{2}})=1$">|; 

$key = q/y^{2}=b^{2}displaystyle(frac{x^{2}}{a^{2}}-1);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="124" HEIGHT="60" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img25.png"
 ALT="$y^{2}=b^{2}\displaystyle(\frac{x^{2}}{a^{2}}-1)$">|; 

$key = q/displaystyle-frac{b}{a}<m<frac{b}{a};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="106" HEIGHT="56" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img17.png"
 ALT="$\displaystyle-\frac{b}{a}&lt; m &lt; \frac{b}{a}$">|; 

$key = q/includegraphics[width=9cm,height=7.5cm]{i-regione};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="408" HEIGHT="340" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img21.png"
 ALT="\includegraphics[width=9cm,height=7.5cm]{i-regione}">|; 

$key = q/y;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img3.png"
 ALT="$y$">|; 

$key = q/displaystylem<-frac{b}{a};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="70" HEIGHT="56" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img19.png"
 ALT="$\displaystyle m&lt;-\frac{b}{a}$">|; 

$key = q/y=mx;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="62" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img15.png"
 ALT="$y=mx$">|; 

$key = q/AA';MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img23.png"
 ALT="$AA'$">|; 

$key = q/x^{2}-displaystyle(1+frac{t^{2}}{b^{2}})a^{2}=0;con;t,a,binmathbf{R};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="265" HEIGHT="60" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img13.png"
 ALT="$x^{2}-\displaystyle(1+\frac{t^{2}}{b^{2}})a^{2}=0 \; con \; t, a,
b \in \mathbf{R}$">|; 

$key = q/displaystylem>frac{b}{a};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="56" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img18.png"
 ALT="$\displaystyle m&gt;\frac{b}{a}$">|; 

$key = q/displaystylem=pmfrac{b}{a};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="70" HEIGHT="56" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img20.png"
 ALT="$\displaystyle m=\pm\frac{b}{a}$">|; 

$key = q/y=t;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img11.png"
 ALT="$y=t$">|; 

$key = q/|x|leqa;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="57" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img26.png"
 ALT="$\vert x\vert\leq a$">|; 

$key = q/t<-a;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="57" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img8.png"
 ALT="$t&lt;-a$">|; 

$key = q/x;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img12.png"
 ALT="$x$">|; 

$key = q/A=(-a,0),A'=(a,0);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="181" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img22.png"
 ALT="$A=(-a,0) , A'=(a,0)$">|; 

$key = q/-a<t<a;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="89" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img10.png"
 ALT="$-a&lt;t&lt;a$">|; 

$key = q/t,a,binmathbf{R};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="79" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img6.png"
 ALT="$ t, a, b
\in \mathbf{R}$">|; 

$key = q/y^{2}-displaystyle(frac{t^{2}}{a^{2}}-1)b^{2}=0;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="154" HEIGHT="60" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img5.png"
 ALT="$y^{2}-\displaystyle(\frac{t^{2}}{a^{2}}-1)b^{2}=0$">|; 

$key = q/{displaymath}y=bsqrt{frac{x^{2}}{a^{2}}-1};,y=-bsqrt{frac{x^{2}}{a^{2}}-1}{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="239" HEIGHT="55" BORDER="0"
 SRC="|."$dir".q|img27.png"
 ALT="\begin{displaymath}
y=b\sqrt{\frac{x^{2}}{a^{2}}-1};  
y=-b\sqrt{\frac{x^{2}}{a^{2}}-1}
\end{displaymath}">|; 

$key = q/t>a;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img7.png"
 ALT="$t&gt;a$">|; 

$key = q/x=t;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="$x=t$">|; 

$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="|."$dir".q|img4.png"
 ALT="$\mathcal{C}$">|; 

$key = q/t=pma;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="57" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img9.png"
 ALT="$ t=\pm a$">|; 

$key = q/displaystylemathcal{C}:frac{x^{2}}{a^{2}}-frac{y^{2}}{b^{2}}=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="124" HEIGHT="60" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img24.png"
 ALT="$\displaystyle\mathcal{C}: \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}= 1$">|; 

1;

