Teoria delle quadriche

 
 

(1.3)  :

$\displaystyle \left\{
 \begin{array}{c}
 x = m_{11}x'+m_{12}y'+m_{13}z'+c_1\\  ...
...+m_{23}z'+c_2\\  
 z = m_{31}x'+m_{32}y'+m_{33}z'+c_3\\  
 \end{array}
 \right.$







(1.4)  :

$\displaystyle \left(
 \begin{array}{c}
 1\\  x\\  y\\  z\\  
 \end{array}
 \rig...
...cal{M}} \left(
 \begin{array}{c}
 1\\  x'\\  y'\\  z'\\  
 \end{array}
 \right)$







(1.6)  :

$\displaystyle \left(
 \begin{array}{cccc}
 1 & x' & y' & z'\\  
 \end{array}
 \...
... \left(
 \begin{array}{c}
 1 \\  x' \\  y' \\  z'\\  
 \end{array}
 \right) = 0$







(1.7)  :

$\displaystyle \mathcal{B}\: = \hspace{2mm}
 ^t\widetilde{\mathcal{M}} \hspace{1mm} \mathcal{A} \hspace{1mm}
 \widetilde{\mathcal{M}}.$







(1.8)  :

$\displaystyle \mathcal{B}_0 = \hspace{2mm} ^t\mathcal{M}
 \hspace{1mm} \mathcal{A}_0 \hspace{1mm} \mathcal{M}$