PTOLEMY’S THEOREM
Abstract
This article presents Ptolemy’s theorem and demonstrates examples of calculating the diagonals and sides of polygons using this theorem.
Keywords
theorem, polygon, diagonal, cyclic quadrilateral.
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.
Downloads
Download data is not yet available.