PROYEKTIV GEOMETRIYANING ASOSIY FAKTLARI, INVARIANTLARI VA ULARNING NAZARIY HAMDA AMALIY TAHLILI

Authors

  • Olimova Moxinur Oʻtkirjon qizi Matematika yoʻnalishi 1-kurs talabasi Author
  • Maxmudova Dilnoza Xaytmirzaevna Ilmiy maslahatchi: Namangan davlat universiteti O’zbekiston Author

Keywords:

proyektiv geometriya, invariant, ikki nisbat, garmonik to‘rtlik, perspektiv akslantirish, dualizm, proyektiv fazo, transformatsiya

Abstract

Ushbu maqolada proyektiv geometriyaning asosiy faktlari, invariantlari va ularning nazariy hamda amaliy ahamiyati o‘rganiladi. Natijalarda ikki nisbatning invariantligi, garmonik to‘rtlik, dualizm prinsipi va proyektiv transformatsiyalar xossalari asoslandi. Shuningdek, ushbu invariantlarning chizma geometriya, kompyuter grafika va optik modellashtirishdagi roli tahlil qilindi. Xulosa sifatida proyektiv geometriya invariantlar orqali geometrik strukturalarni chuqur tushuntiruvchi fundamental nazariya ekanligi ko‘rsatildi.

References

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Published

2026-05-07

How to Cite

Olimova, M., & Maxmudova, D. (2026). PROYEKTIV GEOMETRIYANING ASOSIY FAKTLARI, INVARIANTLARI VA ULARNING NAZARIY HAMDA AMALIY TAHLILI. Science and Technology in the Modern World, 5(13), 122-128. https://www.in-academy.uz/index.php/ZDIFT/article/view/40168
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