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A conic section defined as the set of all points on a plane where the absolute difference of their distances from fixed points is a constant.
Hyperbola
The line segment connecting the vertices of a hyperbola.
Transverse Axis
The line segment joining the points on a hyperbola that are equidistant from the center.
Conjugate Axis
The point of intersection of the transverse and conjugate axes of a hyperbola.
Center
The standard equation of a hyperbola, given by (x-h)^2/a^2 - (y-k)^2/b^2 = 1 for a horizontal principal axis and (y-k)^2/a^2 - (x-h)^2/b^2 = 1 for a vertical principal axis.
Hyperbola Equation
The points on a hyperbola that lie on the transverse axis.
Vertices
The fixed points inside a hyperbola that determine its shape.
Foci
The lines that a hyperbola approaches but never intersects.
Asymptotes
The lines that are equidistant from the foci and perpendicular to the transverse axis.
Directrices
A measure of how "stretched" or "flattened" a hyperbola is, given by the ratio of the distance between the center and a focus to the distance between the center and a vertex.
Eccentricity
A rectangle formed by the vertices and endpoints of the conjugate axis of a hyperbola.
Auxiliary Rectangle
