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e produced so as to cut the opposite cone, another curve will be formed, which is also an hyperbola. Both curves are regarded as branches of the same hyperbola. See Illust. of Conic section, and Focus.

he two axes of the ellipse are the major axis and the minor axis, and the two axes of the hyperbola are the transverse axis and the conjugate axis. -- Axis of a lens, the straight line passing through its center and perpendicular to its surfaces. -- Axis of a telescope or microscope, the straight line with which coin…

f a curve that extends outwards to an indefinitely great distance; as, the branches of an hyperbola.

he surface of a right cone and a plane. The conic sections are the parabola, ellipse, and hyperbola. The right lines and the circle which result from certain positions of the plane are sometimes, though not generally included. -- Conic sections, that branch of geometry which treats of the parabola, ellipse, and hyperb…

s with reference to two quantities, points, lines, axes, curves, etc. Conjugate axis of a hyperbola (Math.), the line through the center of the curve, perpendicular to the line through the two foci. -- Conjugate diameters (Conic Sections), two diameters of an ellipse or hyperbola such that each bisects all chords draw…

The ratio of the distance between the center and the focus of an ellipse or hyperbola to its semi-transverse axis.

ing all the sides equal; as, an equilateral triangle; an equilateral polygon. Equilateral hyperbola (Geom.), one whose axes are equal. -- Equilateral shell (Zoöl.), one in which a transverse line drawn through the apex of the umbo bisects the valve, or divides it into two equal and symmetrical parts. -- Mutually equi…

rphysical, hyperthyrion; also, above measure, abnormally great, excessive; as, hyperæmia, hyperbola, hypercritical, hypersecretion.

Belonging to the hyperbola; having the nature of the hyperbola.

In the form of an hyperbola.

Having the form, or nearly the form, of an hyperbola.

A surface of the second order, which is cut by certain planes in hyperbolas; also, the solid, bounded in part by such a surface. Hyperboloid of revolution, an hyperboloid described by an hyperbola revolving about one of its axes. The surface has two separate sheets when the axis of revolution is the transverse axis, bu…

plane and indefinitely near it. It is an ellipse when the curvature is synclastic, and an hyperbola when the curvature is anticlastic.

ar the desired course. -- Leg bail, escape from custody by flight. [Slang] -- Legs of an hyperbola (or other curve) (Geom.), the branches of the curve which extend outward indefinitely. -- Legs of a triangle, the sides of a triangle; -- a name seldom used unless one of the sides is first distinguished by some appropr…

with both parts symmetrical, generated by the point in which a tangent to an equilateral hyperbola meets the perpendicular on it drawn from the center.

Knotted. Nodated hyperbola (Geom.), a certain curve of the third order having two branches which cross each other, forming a node.

Specifically (Conic Sections), in the ellipse and hyperbola, a third proportional to any diameter and its conjugate, or in the parabola, to any abscissa and the corresponding ordinate.

be done by amendment. Burrill. Daniel. -- Supplementary chords (Math.), in an ellipse or hyperbola, any two chords drawn through the extremities of a diameter, and intersecting on the curve.

ection; athwart; -- often opposed to Ant: longitudinal. Transverse axis (of an ellipse or hyperbola) (Geom.), that axis which passes through the foci. -- Transverse partition (Bot.), a partition, as of a pericarp, at right angles with the valves, as in the siliques of mustard.