Hypérbola. n.s. [hyperbole, Fr. ὕπερ and βάλλω.] In geometry, a section of a cone made by a plane, so that the axis of the section inclines to the opposite leg of the cone, which in the parabola is parallel to it, and in the ellipsis intersects it. The axis of the hyperbolical section will meet also with the opposite side of the cone, when produced above the vertex. Harris.
Had the velocities of the several planets been greater or less than they are, or had their distances from the sun, or the quantity of the sun's matter, and consequently his attractive power been greater or less than they are now, with the same velocities, they would not have revolved in concentrick circles, but have moved in hyperbola's very eccentrick. Bentley's Serm.