IKKINCHI TARTIBLI EGRI CHIZIQLAR INVARIANTLARI VA ULARNI ANIQLASH USULLARI

Authors

  • Moʻydinova Hadicha Fizika-Matematika fakukteti, 1-kurs talabasi Author
  • Maxmudova Dilnoza Xaytmirzaevna Ilmiy maslahatchi: Namangan davlat universiteti O’zbekiston Author

Keywords:

ikkinchi tartibli egri chiziq, koniklar, invariant, diskriminant, determinant, ellips, parabola, giperbola, kanonik ko‘rinish, koordinata almashtirish.

Abstract

Ushbu maqolada ikkinchi tartibli egri chiziqlarning invariantlari va ularni aniqlash usullari o‘rganiladi. Natijalarda diskriminant, determinant va iz kabi invariantlar orqali ellips, parabola va giperbola sinflari ajratildi. Shuningdek, egri chiziqlarni aylantirish va siljitish orqali soddalashtirish usullari keltirildi. Muhokama qismida olingan natijalar grafik modellashtirish va geometriyada qo‘llanishi bilan bog‘liq holda tahlil qilindi. Xulosa sifatida invariantlar egri chiziqlarni klassifikatsiya qilishda asosiy vosita ekanligi ko‘rsatildi.

References

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

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Published

2026-04-29

How to Cite

IKKINCHI TARTIBLI EGRI CHIZIQLAR INVARIANTLARI VA ULARNI ANIQLASH USULLARI. (2026). Science and Innovation, 4(30), 64-70. https://www.in-academy.uz/index.php/SI/article/view/38765
Innovative Academy RSC
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