In book two Apollonius investigates how hyperbolas are related to their asymptotes, and he also studies how to draw tangents to given conics. |
It's the other conic sections that confuse me, like ellipses and hyperbolas. |
There are many topics covered in the book including a study of circles, triangles, geometric series, ellipses, parabolas and hyperbolas. |
For instance, we refer the reader to Freiesleben which deals with geometric construction of hyperbolae on a spherical surface for navigational application. |
Circles, arcs, and hyperbolae of positions are often referred to as lines of position. |
By the time I finish with you you're not just going to fly circles around those scum, but ellipsoids, helices, and hyperbolae. |