On the Development of Quasi-Reflection and Related Properties

Arunav Maheshwari

Abstract: Reflection of points across lines is commonly taught in schools, but the intuitive qualities of the transformation do not necessarily align with its formal definition. This paper explores the extension of this notion of quasi-reflection, separate from the canonical mathematical sense of the term, by graphical properties. Through the presentation of examples, insight into the relationship of degrees of curves under this process is derived.

Keywords: differential geometry, reflection, plane curves