TEKIS VA FAZOVIY EGRI CHIZIQLAR FARQI

Authors

  • Saliyeva Sevara Ma’mirbek qizi Andijon davlat pedagogika instituti “Matematika va Informatika” kafedrasi o’qituvchisi Author
  • Ibroximova Gulbahor To’lqinboy qizi Andijon davlat pedagogika instituti “Aniq va tabiiy “ fanlar fakulteti Matematika yo`nalishi 2-kurs talabasi Author

DOI:

https://doi.org/10.5281/zenodo.20342268

Keywords:

Analytical geometry, topology, plane curve, spatial curve, curvature, torsion, Frenet-Serret formulas, knot theory.

Abstract

This article analyzes the main differences between plane and spatial curves from the perspective of analytical geometry, differential geometry, and topology. Their geometric properties are studied based on parametric equations, curvature, and torsion. Using the Frenet-Serret frame, the metric features that distinguish spatial curves from plane curves are revealed, and the significance of topological knot theory in spatial curves is briefly highlighted.

References

Narmanov A. N., Differensial geometriya asoslari. – Toshkent: O‘qituvchi, 2008.

Sharipov R., Differensial geometriya va tenzor tahlili asoslari. – Toshkent, 2016.

Spivak M., A Comprehensive Introduction to Differential Geometry, Publish or Perish, 1999.

O'Neill B., Elementary Differential Geometry. – Academic Press, 2006.

Downloads

Published

2026-05-22

Issue

Vol. 4 No. 43 (2026)

Section

Articles

License

Copyright (c) 2026 Innovative Academy RSC

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Saliyeva, S., & Ibroximova, G. (2026). TEKIS VA FAZOVIY EGRI CHIZIQLAR FARQI. Science and Innovation, 4(43), 156-158. https://doi.org/10.5281/zenodo.20342268
Innovative Academy RSC
Article metrics Views and PDF downloads
0 Views
0 Downloads