CONSTRUCTING AN ELLIPSE USING CONJUGATE DIAMETERS AND ITS APPLICATIONS

Authors

  • Mamatkadirova Zebo Tohirjon qizi NamSU, Faculty of Physics and Mathematics, 1st-cource student of Mathematics, Uzbekistan
  • Dilnoza Xaytmirzayevna Maxmudova Supervisor, NamSU, Senior lecturer, Department of Mathematics, Uzbekistan

Keywords:

Ellipse construction, conjugate diameters, affine transformation

Abstract

The construction of an ellipse using conjugate diameters is an essential concept in geometry and engineering. Conjugate diameters are two perpendicular diameters of an ellipse that intersect at its center. This article discusses the geometric construction of an ellipse through conjugate diameters, examines its mathematical foundations, and explores its modern applications in physics, engineering, and computer graphics. We present formulas and geometric reasoning to facilitate the construction and use of conjugate diameters in real-world contexts.

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References

Anvarova, M., & Mahmudova, D. (2025). THE APPLICATION OF ECOND-ORDER CURVES. В THEORETICAL ASPECTS IN THE FORMATION OF PEDAGOGICAL SCIENCES (Т. 4, Выпуск 5, сс. 188–191). Zenodo. https://doi.org/10.5281/zenodo.15104205

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). Zenodo. https://doi.org/10.5281/zenodo.15167776

Karimberdiyeva, D., & Mahmudova, D. (2025). TEKISLIKDAGI PERSPEKTIV-AFFIN MOSLIKNING O'ZIGA XOS XUSUSIYATLARI. В DEVELOPMENT OF PEDAGOGICAL TECHNOLOGIES IN MODERN SCIENCES (Т. 4, Выпуск 3, сс. 114–117). Zenodo. https://doi.org/10.5281/zenodo.15123521

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

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Published

2025-04-17

How to Cite

Mamatkadirova Zebo Tohirjon qizi, & Dilnoza Xaytmirzayevna Maxmudova. (2025). CONSTRUCTING AN ELLIPSE USING CONJUGATE DIAMETERS AND ITS APPLICATIONS. International Scientific and Current Research Conferences, 1(01), 48–55. Retrieved from https://orientalpublication.com/index.php/iscrc/article/view/1840

Issue

2025: ADVANCING SOCIAL JUSTICE: STRATEGIES FOR EQUITY AND INCLUSION

Section

Articles

License

Copyright (c) 2025 Mamatkadirova Zebo Tohirjon qizi, Dilnoza Xaytmirzayevna Maxmudova

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