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    Introduction to Lobachevski's Geometry

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    Write a brief description of Lobachevsky's geometry.

    © BrainMass Inc. brainmass.com October 9, 2019, 9:18 pm ad1c9bdddf
    https://brainmass.com/math/triangles/introduction-lobachevskis-geometry-179984

    Solution Preview

    In Euclidean Geometry ("High School" Geometry) we know that one and only one parallel can be constructed to a given line through an external point (a point not lying on the line). This is called the Fifth Postulate of Euclidean Geometry.

    Allowing two parallels through any external point leads to the hyperbolic geometry developed by the Russian N. I. Lobachevski in 1826. Lobachevski's Geometry is a type of non-Euclidean geometry in ...

    Solution Summary

    The main points of Lobachevsky's Geometry have been explained in a brief description.

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