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FULFILLMENT OF LOBACHEVSKY'S AXIOM IN EUCLIDEAN SPACE OF THE POINCARE INTERPRETATION OF LOBACHEVSKY'S GEOMETRY

Fayzullaev Sherzod

American Journal Of Applied Science And Technology · 04 · 2021

Аннотация

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, inversion, outer product, intersection, asymptotic cone, oscillating cone.

Доказательный фрагмент

«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.»

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Демо-превью

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. Полный текст публикации CiteX не хранит — доступ к первоисточнику открывается по DOI согласно лицензии издателя и выбранному плану.

doi.org/10.37547/ajast/Volume04Issue02-03
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0
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Страна
Узбекистан
Ключевые слова
Lobachevsky’s axiom, hyperbolic line, inversion, outer product, intersection, asymptotic cone, oscillating cone, autoimmune thyroiditis, thyroid nodules, tumors., FNAB, cytology, thyroid gland
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