Publication Type
Journal Article
Version
publishedVersion
Publication Date
3-2014
Abstract
We study quadrilaterals inscribed and circumscribed about conics and prove interesting theorems. Theorems are discovered by experimenting with dynamical geometry software. The Poncelet theorem for quadrilaterals is proved by elementary means together with Poncelet's grid property.
Keywords
quadrilaterals, conics, projective geometry, dynamical geometry software
Discipline
Software Engineering
Research Areas
Intelligent Systems and Optimization
Areas of Excellence
Digital transformation
Publication
International Journal of Computer Mathematics
Volume
91
Issue
7
First Page
1407
Last Page
1421
ISSN
0020-7160
Identifier
10.1080/00207160.2013.844338
Publisher
Taylor and Francis Group
Citation
BARALIC, Dorde; GRBIC, Branko; and ZIKELIC, Dorde.
Theorems about quadrilaterals and conics. (2014). International Journal of Computer Mathematics. 91, (7), 1407-1421.
Available at: https://ink.library.smu.edu.sg/sis_research/9079
Copyright Owner and License
Authors
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Additional URL
https://doi.org/10.1080/00207160.2013.844338