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Hyperbolic sector (area)

Description

A hyperbolic sector is a region of the Cartesian plane {(x,y)} bounded by rays from the origin to two points (a, 1/a) and (b, 1/b) and by the hyperbola xy = 1. When in standard position, a hyperbolic sector corresponds to a positive hyperbolic angle.
A hyperbolic sector in standard position has a = 1 and b > 1 . The area of a hyperbolic sector in standard position is depended on the point b.

Related formulas

Variables

AhypHyperbolic sector's area (dimensionless)
bX-coordinate of the point b (dimensionless)