A.When represented on a Poincaré Disk, a line is an arc that has endpoints.B.There is an infinite number of lines parallel to a given line through a given point.C.It can be represented by a Poincaré Disk.
Triangles have less than 180 degrees.
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A Russian mathematician named Nikolai Ivanovich Lobachevsky is the man credited with inventing hyperbolic geometry. Nikolai lived from 1792 to 1856.
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Hyperbolic geometry is used very often in space, such as space travel and gravitational pulls and rotations of planets. This geometry is used most often in space because of Einstein's general Theory of Relativity assumes that space is not a Euclidean space, but a hyperbolic one.
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