Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Article
Publication Date
2024
Abstract
In this article, we present in a unified form the theoretical results regarding the concepts of pole and polar with respect to a circle, and as applications of these, we offer a demonstration of Newton’s theorem related to the circumscribed quadrilateral and a demonstration of a theorem usually derived as a particular case of Pascal’s theorem related to the inscribed hexagon.
DOI
https://doi.org/10.61356/j.scin.2024.11001
Language (ISO)
English
Keywords
Pole, Polar, Circle Geometry, Conjugate Points, Conjugate Diameters, Orthogonality, Duality, Projective Geometry, Inversion, Geometric Transformations
Recommended Citation
Pătrașcu, Ion and Florentin Smarandache. "Two applications of the concepts of pole and polar with respect to a circle." (2024). doi:https://doi.org/10.61356/j.scin.2024.11001.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
