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1

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

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2

The line segment connecting the vertices of a hyperbola.

Transverse Axis

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3

The line segment joining the points on a hyperbola that are equidistant from the center.

Conjugate Axis

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4

The point of intersection of the transverse and conjugate axes of a hyperbola.

Center

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5

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

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6

The points on a hyperbola that lie on the transverse axis.

Vertices

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7

The fixed points inside a hyperbola that determine its shape.

Foci

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8

The lines that a hyperbola approaches but never intersects.

Asymptotes

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9

The lines that are equidistant from the foci and perpendicular to the transverse axis.

Directrices

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10

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

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11

A rectangle formed by the vertices and endpoints of the conjugate axis of a hyperbola.

Auxiliary Rectangle

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