Signature (3;0) | Signature (2;1) |
|
|
\[ \frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}=0 \] Le point (0;0;0). |
|
\[ \frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}=-1 \] L'ensemble vide. |
|
Signature (2;0) | Signature (1;1) | Signature (1;0) |
|
|
|
|
|
|
\[ \frac{x^2}{a^2}+\frac{y^2}{b^2}=0 \] La droite (Oz) |
|
|
\[ \frac{x^2}{a^2}+\frac{y^2}{b^2}=-1 \] L'ensemble vide. |
\[ \frac{x^2}{a^2}-\frac{y^2}{b^2}=-1 \] Cylindre hyperbolique. |
\[ \frac{x^2}{a^2}=-1 \] L'ensemble vide. |