| It deals with normals to conics regarded as maximum and minimum straight lines drawn from particular points to the curve. |
| In book two Apollonius investigates how hyperbolas are related to their asymptotes, and he also studies how to draw tangents to given conics. |
| His work in geometry included a study of conics, quadrics and projective geometry. |
| It is said that from that result Pascal derived all of Apollonius' theorems on conics and more, no fewer than 400 propositions in all. |
| If the planes pass through the vertex of the cone, the conics are said to be degenerate, otherwise they are not. |
| The book contains a wealth of information concerning the projective geometry of conics and quadrics. |
