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A New Hyperbolic Area Formula of a Hyperbolic Triangle and Its Applications

A New Hyperbolic Area Formula of a Hyperbolic Triangle and Its Applications

We study some characterizations of hyperbolic geometry in the Poincaré disk. We first obtain the hyperbolic area and length formula of Euclidean disk and a circle represented by its Euclidean center and radius. Replacing interior angles with vertices coordinates, we also obtain a new hyperbolic area formula of a hyperbolic …