Table 8: TABLE 8 Polar Equations of Conics (Focus at the Pole, Eccentricity e)
| Equation | Description |
| r=ep1−ecosθ | Directrix is perpendicular to the polar axis a distance p units to the left of the pole. |
| r=ep1+ecosθ | Directrix is perpendicular to the polar axis a distance p units to the right of the pole. |
| r=ep1+esinθ | Directrix is parallel to the polar axis a distance p units above the pole. |
| r=ep1−esinθ | Directrix is parallel to the polar axis a distance p units below the pole. |
| Eccentricity | |
| If e=1, the conic is a parabola; the axis of symmetry is perpendicular to the directrix. |
| If e<1, the conic is an ellipse; the major axis perpendicular to the directrix. |
| If e>1, the conic is a hyperbola; the transverse axis is perpendicular to the directrix. |