Ilim ha’m ja’miyet 5-1-son (2026) · 17-18-betlar

SOME SIMPLE PROPERTIES OF THE LOBACHEVSKIAN GEOMETRY ON THE PLANE

Qutbaev, Aydos Bakbergen uly, Qutbaev, Aydos Bakbergen ulı, Кутбаев, Айдос Бакберген улы

Manbada oʻqish

Annotatsiya

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.

Yevklid geometriyasito‘g‘ri chiziqparallellik aksiomasimetrikaburchak defektiевклидова геометрияпрямаяаксиома параллельностиметрикаугловой дефект

Metadata manbasi: jurnal OAI-PMH arxivi · Sindex toʻliq matnni saqlamaydi, manbaga havola beradi.

Iqtibos olish

APA 7 
Qutbaev, Aydos Bakbergen uly, Qutbaev, Aydos Bakbergen ulı & Кутбаев, Айдос Бакберген улы (2026). SOME SIMPLE PROPERTIES OF THE LOBACHEVSKIAN GEOMETRY ON THE PLANE. Ilim ha’m ja’miyet, (5-1), 17-18.
GOST R 7.0.5 
Qutbaev, Aydos Bakbergen uly, Qutbaev, Aydos Bakbergen ulı, Кутбаев, Айдос Бакберген улы SOME SIMPLE PROPERTIES OF THE LOBACHEVSKIAN GEOMETRY ON THE PLANE // Ilim ha’m ja’miyet. 2026. № 5-1. С. 17-18.
BibTeX 
@article{uly2026,
  author  = {Qutbaev, Aydos Bakbergen uly and Qutbaev, Aydos Bakbergen ulı and Кутбаев, Айдос Бакберген улы},
  title   = {SOME SIMPLE PROPERTIES OF THE LOBACHEVSKIAN GEOMETRY ON THE PLANE},
  journal = {Ilim ha’m ja’miyet},
  year    = {2026},
  number  = {5-1},
  pages   = {17-18}
}
RIS 
TY  - JOUR
AU  - Qutbaev, Aydos Bakbergen uly
AU  - Qutbaev, Aydos Bakbergen ulı
AU  - Кутбаев, Айдос Бакберген улы
TI  - SOME SIMPLE PROPERTIES OF THE LOBACHEVSKIAN GEOMETRY ON THE PLANE
JO  - Ilim ha’m ja’miyet
PY  - 2026
IS  - 5-1
SP  - 17
EP  - 18
ER  -