LOBACHEVSKIY TEKISLIGINING TURLI MODELLARI. LOBACHEVSKIY GEOMETRIYASINING ZIDSIZLIGI

Authors

  • Zahriddinova Shaxlo Author
  • Toshpo‘lotova Jasmina Nuriddin qizi Author

Keywords:

Lobachevskiy geometriyasi, Poincare modeli, Beltrami–Klein modeli, giperbolik geometriya, zidsizlik, parallel postulat, noyevklid geometriya.

Abstract

Ushbu maqolada Lobachevskiy geometriyasining asosiy tushunchalari va uning zidsizligi masalasi ko‘rib chiqiladi. Xususan, Lobachevskiy tekisligining turli modellari, jumladan, Poincare disk modeli, Poincare yarim tekislik modeli va Beltrami–Klein modeli haqida batafsil ma’lumot beriladi. Shuningdek, ushbu modellarning o‘zaro bog‘liqligi va ularning geometriya asoslari, postulatlarga mosligi tahlil qilinadi. Maqolada Lobachevskiy geometriyasining zidsizligi masalasi ham yoritilib, uning matematik asoslari va isbotlari haqida fikr yuritiladi.

Author Biographies

  • Zahriddinova Shaxlo

    “Matematika va ta’limda axborot texnologiyasi”

    kafedrasi o‘qituvchisi

  • Toshpo‘lotova Jasmina Nuriddin qizi

    Shahrisabz davlat pedagogika instituti

    “Matematika va Informatika” yo‘nalishi 2-bosqich talabasi

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Published

2025-04-02

Issue

Vol. 23 No. 2 (2025): Modern education and development

Section

Articles

How to Cite

LOBACHEVSKIY TEKISLIGINING TURLI MODELLARI. LOBACHEVSKIY GEOMETRIYASINING ZIDSIZLIGI. (2025). Modern Education and Development, 23(2), 260-267. https://scientific-jl.com/mod/article/view/7222