Статьи

PROYEKTIV GEOMETRIYANING PREDMETI, NAZARIY ASOSLARI, INVARIANTLARI VA ANALITIK TADQIQ USULLARI

Том 4 № 30 (2026): Наука и инновации 19-24

DOI: 10.5281/zenodo.19881280 2026-04-28 Статьи Open Access

Авторы

  • Abdumalikova Anora Axmadjon qizi Matematika yoʻnalishi 1-kurs talabasi
  • Maxmudova Dilnoza Xaytmirzaevna Ilmiy maslahatchi: Namangan davlat universiteti O’zbekiston

Аннотация

Ushbu maqolada proyektiv geometriyaning predmeti, nazariy asoslari, invariantlari va analitik tadqiq usullari o‘rganiladi. Natijalarda proyektiv fazoning tuzilishi, dualizm prinsipi, invariantlarning asosiy xossalari va analitik ifodalari aniqlashtirildi. Shuningdek, bu tushunchalarning chizma geometriya, kompyuter grafika va optik modellashtirishdagi qo‘llanishi tahlil qilindi. Xulosa sifatida proyektiv geometriya invariantlar orqali geometrik strukturalarni umumlashtiruvchi fundamental nazariya ekanligi ko‘rsatildi.

Ключевые слова:

Библиографические ссылки

David Gilbert. Grundlagen der Geometrie (Geometriya asoslari). - Leipzig: Teubner, 1899.

Euclid. Elements. - Translated by T. L. Heath. - Cambridge: Cambridge University Press, 1908.

Greenberg, M. J. Euclidean and Non-Euclidean Geometries: Development and History. – 4th ed. – New York: W. H. Freeman, 2008.

Dilnoza, M. Use of the Acmelological Approach to Teaching Mathematics. International Journal of Innovative Analyses and Emerging Technology. c-ISSN, 2792-4025.

Abduraxmonova, R., & Mahmudova, D. (2025). Nuqtadan to'g'ri chiziqqacha bo'lgan masofa. Ikki to'g'ri chiziq orasidagi burchak. В theoretical aspects in the formation of pedagogical sciences (Т. 4, Выпуск 7, сс. 74–78). Zenodo. https://doi.org/10.5281/zenodo.15186643

Abdulhayeva, G., & Mahmudova, D. (2025). Tekislikda to'g'ri chiziq tenglamalari va ularni amaliyotga tadbiqi. В theoretical aspects in the formation of pedagogical sciences (Т. 4, Выпуск 7, сс. 35–40).

Karimberdiyeva , D. ., & Mahmudova , D. . (2025). Tekislikdagi perspektiv-affin moslikning o’ziga xos xususiyatlari. Развитие педагогических технологий в современных науках, 4(3), 114–117.

Maxmudova, D. X. (2023). Kognitiv kompetentlikni rivojlantirishning akmeologik texnologiyasini joriy etish shart-sharoitlari. GOLDEN BRAIN, 1(34), 19-24.

Ismoilova, D., & Mahmudova, D. (2025). Ko ‘po ‘lchovli yevklid fazosi: o ‘qitish texnologiyasi asosida yondashuv. In Innov. Conf. Published online April (Vol. 17, No. 2025, pp. 1-7).

Khaitmirzayevna, Makhmudova D. "Pedagogical Ways of Cognitive Competences in Future Teachers Based on Acmeological Approach." World Economics and Finance Bulletin, vol. 32, 23 Mar. 2024, pp. 146-148

Abdiqayumov, A., & Maxmudova, D. (2025). Central and parallel projections and their properties. Теоретические аспекты становления педагогических наук, 4(8), 177-184.

Abdulhamidova, M., Maxmudova, D. Proyektiv geometriyaning asosiy faktlari. (2026). Zamonaviy taraqqiyot va fan: 21-asr yondashuvlari, 6(1), 282-293. https://journalss.org/index.php/zam/article/view/25424

География читателей

1 Просмотры
0 Загрузки PDF
1 Стран

    Загрузки

    Опубликован

    2026-04-28

    Выпуск

    Раздел

    Статьи

    Как цитировать

    Abdumalikova , A., & Maxmudova , D. (2026). PROYEKTIV GEOMETRIYANING PREDMETI, NAZARIY ASOSLARI, INVARIANTLARI VA ANALITIK TADQIQ USULLARI. Наука и инновации, 4(30), 19-24. https://doi.org/10.5281/zenodo.19881280
    Innovative Academy RSC
    Article metrics Views and PDF downloads
    1 Views
    0 Downloads