FULFILLMENT OF LOBACHEVSKY'S AXIOM IN EUCLIDEAN SPACE OF THE POINCARE INTERPRETATION OF LOBACHEVSKY'S GEOMETRY
Abstract
It is known that the Poincaré interpretation of Lobachevsky’s geometry is used in solving many technical problems, in problems related to the theory of complex variable functions.
In this article, we show the Poincaré interpretation of the Lobachevsky plane, which is interpreted in a circle in a plane, using one circle of a two-section hyperboloid, using the method of spatial representation, and the Lobachevsky axiom and the results derived from it are also valid.
Keywords
Lobachevsky’s axiom, hyperbolic line, inversionHow to Cite
References
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