TEKISLIK VA TO‘G‘RI CHIZIQ SISTEMALARI UCHUN YANGI “PARALLEL PROYEKSIYA TEOREMASI”
Keywords:
Kalit so‘zlar: parallel proyeksiya, tekislik, to‘g‘ri chiziq, invariant yo‘nalish, yangi teorema.Abstract
Annotatsiya: Ushbu maqolada fazoda berilgan tekislik va to‘g‘ri chiziqlar
sistemasi uchun parallel proyeksiya munosabatlari tadqiq etiladi. Normallashtirilgan
vektor yondashuvi asosida parallel proyeksiya operatorining invarianti sifatida
namoyon bo‘ladigan yangi teorema isbotlanadi. Teorema to‘g‘ri chiziqning tekislikka
proyeksiyasi aynan o‘sha chiziqning yo‘nalishini saqlab qolishini ko‘rsatadi va bu
natija tekisliklar oilasi uchun umumlashtiriladi. Nazariy natijalar fazoviy
modellashtirish, 3D grafikasi va mexanik tizimlar geometriyasida qo‘llanilishi
mumkin.
References
FOYDALANILGAN ADABIYOTLAR
1. 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
2. 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).
3. Karimberdiyeva , D. ., & Mahmudova , D. . (2025). Tekislikdagi perspektiv-
affin moslikning o’ziga xos xususiyatlari. Развитие педагогических
технологий в современных науках, 4(3), 114–117.
4. Abdiqayumov , A., & Maxmudova , D. (2025). CENTRAL AND PARALLEL
PROJECTIONS AND THEIR PROPERTIES. Теоретические аспекты
становления педагогических наук, 4(8), 177–184. извлечено от
https://inlibrary.uz/index.php/tafps/article/view/83478
5. Dilnoza, M. Use of the Acmelological Approach to Teaching
Mathematics. International Journal of Innovative Analyses and Emerging
Technology. c-ISSN, 2792-4025.
6. Makhmudova, D. K. (2020). Significance of acmeological approach in
improving the cognitive competence of the future teachers. Scientific Bulletin of
Namangan State University, 2(4), 426-433.