An oval is never mistaken for a circle, nor an hyperbola for an ellipsis.
If the cone is cut off vertically on the dotted line, A, the curve is a hyperbola.
I said, "if my orbit is a hyperbola, I shall never return to earth."
The curve is in this case called an Hyperbola (see fig. 20).
In the hyperbola we have the mathematical demonstration of the error of an axiom.
Two of the sides of the triangle in this proposition constitute a special form of the hyperbola.
If the plane tips the slightest amount more, the section becomes an hyperbola.
The axes of an hyperbola bisect the angles between the asymptotes.
Similarly, in an hyperbola a vertex is nearer 704 to the directrix than to the focus.
With a certain speed it will assume the parabola, and with a greater the hyperbola.