Geometrie analitica si diferentiala

Geometrie analitica si diferentiala

Invariantii unei conice

Fie o conica de ecuatie

$$a_{11}x^2+2a_{12}xy+a_{22}y^2+2a_{13}x+2a_{23}y+a_{33}=0$$.

Numerele reale

$$I=a_{11}+a_{22},\ \delta=\left|\begin{array}{cc}a_{11}&a_{12}\\a_{12}&a_{22}\end{array}\right|,\ \Delta=\left|\begin{array}{ccc}a_{11}&a_{12}&a_{13}\\a_{12}&a_{22}&a_{23}\\ a_{13}&a_{23}&a_{33}\end{array}\right|$$

se numesc invariantii  conicei.

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