PTOLEMY’S THEOREM

Authors

  • Madrimova Zulayxo Sobirovna Urgench State University Academic Lyceum Teacher of Mathematics (Highest Category)

Keywords:

theorem, polygon, diagonal, cyclic quadrilateral.

Abstract

This article presents Ptolemy’s theorem and demonstrates examples of calculating the diagonals and sides of polygons using this theorem.

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References

Toomer, G. J. (1984). Ptolemy’s Almagest. New York: Springer-Verlag.

Coxeter, H. S. M., & Greitzer, S. L. (1967). Geometry Revisited. Washington, D.C.: Mathematical Association of America.

Johnson, R. A. (2007). Advanced Euclidean Geometry. New York: Dover Publications.

Prasolov, V. V. (1995). Problems in Plane Geometry. Moscow: Nauka. (In Russian)

Aref, M. N., & Wernick, W. (1968). Problems and Solutions in Euclidean Geometry. New York: Dover Publications.

Bogomolny, A. (1996). Ptolemy’s Theorem. Cut the Knot. [Online]. Available at: https://www.cut-the-knot.org/ptolemy.shtml

Dekov, D. (2009). Computer-generated Encyclopedia of Euclidean Geometry. [Online]. Available at: https://www.ddekov.eu/e2/index.htm

Nelsen, R. B. (2000). Proofs Without Words II. Washington, D.C.: Mathematical Association of America.

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Published

2026-04-11

How to Cite

Madrimova Zulayxo Sobirovna. (2026). PTOLEMY’S THEOREM. International Multidisciplinary Journal for Research & Development, 13(4), 414–418. Retrieved from https://ijmrd.in/index.php/imjrd/article/view/5594

Issue

Vol. 13 No. 4 (2026): International Multidisciplinary Journal for Research & Development

Section

Articles

License

Creative Commons License

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