Integral from a shear-like transformation of a circle
Shearing is an area-preserving transformation sometimes used in school mathematics to demonstrate that all parallelograms with the same base and height have the same area. Using the fact that the area of any shape is preserved under a shear, I consider here applying a shearing-like transformation to a unit circle.
History
School
- Science
Department
- Mathematics Education
Published in
The Mathematical GazetteVolume
108Issue
573Pages
541-542Publisher
Cambridge University PressVersion
- AM (Accepted Manuscript)
Rights holder
© The AuthorsPublisher statement
This article has been published in a revised form in The Mathematical Gazette https://doi.org/10.1017/mag.2024.132. This version is free to view and download for private research and study only. Not for re-distribution or re-use. This version is published under a Creative Commons CC-BY-NC-ND licence. No commercial re-distribution or re-use allowed. Derivative works cannot be distributed. © The Authors.Acceptance date
2023-03-23Publication date
2024-11-12Copyright date
2024ISSN
0025-5572eISSN
2056-6328Publisher version
Language
- en
