Inscribed angle theorems exist for ellipses, hyperbolas and parabolas, too. There are three primary types of conic sections&colon; ellipses (including circles), parabolas, and hyperbolas. The constructions for hyperbolas and parabolas are similar. Steiner generation can also be defined for hyperbolas and parabolas. Entrapment maneuvers include circles, gyres, ellipses, figure-of-eights, and hyperbolas. Hence, the plane can be covered by an orthogonal net of confocal ellipses and hyperbolas. He then demonstrated similar results for hyperbolas and ellipses. Hence the Cassini ovals and the hyperbolas intersect orthogonally. "Remark&colon;" Steiner's generation is also available for ellipses and hyperbolas. Other orthogonal two-dimensional coordinate systems involving hyperbolas may be obtained by other conformal mappings. Instead of solving for the two hyperbolas, Newton constructs their directrix lines instead. Near a hyperbolic point the orbits of a two-dimensional, non-dissipative system resemble hyperbolas. Standard vectors on the one-sheeted hyperbolas would correspond to tachyons. Their discriminants show that these curves are hyperbolas. A more detailed investigation reveals that the hyperbolas are rectangular.