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

Авторы

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

Ключевые слова:

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

Аннотация

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.

Библиографические ссылки

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Опубликован

2026-05-07

Как цитировать

Olimova, M., & Maxmudova, D. (2026). PROYEKTIV GEOMETRIYANING ASOSIY FAKTLARI, INVARIANTLARI VA ULARNING NAZARIY HAMDA AMALIY TAHLILI. Наука и технологии в современном мире, 5(13), 122-128. https://www.in-academy.uz/index.php/ZDIFT/article/view/40168
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