Two Applications of the Concepts of Pole and Polar with Respect to a Circle
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Published:
Jan 19, 2024
Keywords:
Pole, Geometric Transformations, Inversion , Projective Geometry , Duality , Orthogonality , Conjugate Diameters , Conjugate Points , Circle Geometry , Polar
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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.
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How to Cite
Patrascu, I., & Smarandache, F. . (2024). Two Applications of the Concepts of Pole and Polar with Respect to a Circle. SciNexuses, 1, 1-8. https://doi.org/10.61356/j.scin.2024.11001
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Original Articles
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Patrascu, I., & Smarandache, F. . (2024). Two Applications of the Concepts of Pole and Polar with Respect to a Circle. SciNexuses, 1, 1-8. https://doi.org/10.61356/j.scin.2024.11001
