This article examines simple and intuitive properties of Lobachevskian (hyperbolic) geometry: the axiom of parallels, the formula for the angle of parallelism, the angular defect of a triangle and its relation to area, as well as distinctive curves such as the equidistant curve and the horocycle. The Poincaré disk model and the upper half-plane model serve as the main analytical tools, with their respective metrics presented. As a result, the fundamental differences from Euclidean geometry are illustrated through concrete numerical examples.
| Mualliflar | Qutbaev, Aydos Bakbergen uly, Qutbaev, Aydos Bakbergen ulı, Кутбаев, Айдос Бакберген улы |
|---|---|
| Jurnal | Ilim ha’m ja’miyet |
| Nashr sanasi | 2026-08-15 |
| Son | 5-1 |
| Betlar | 17-18 |
| Til | kaa |
Yevklid geometriyasi, to‘g‘ri chiziq, parallellik aksiomasi, metrika, burchak defekti, евклидова геометрия, прямая, аксиома параллельности, метрика, угловой дефект, Euclidean geometry, straight line, axiom of parallels, metrics, angular defect
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