Euclidean Geometry
In the foundations of the hyperbolic functions sinh, cosh and tanh, a hyperbolic triangle is a right triangle in the first quadrant of the Cartesian plane
with one vertex at the origin, base on the diagonal ray y = x, and third vertex on the hyperbola
The length of the base of such a triangle is
and the altitude is
where u is the appropriate hyperbolic angle.
Read more about this topic: Hyperbolic Triangle
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—J.G. (James Graham)