Introduction

Let E ⁿ be the Euclidean space of dimension n. (According to this definition, E ¹ is a line, E ² is a plane, and E ³ is a volume.) A curve in n-space is defined as the set of points which result when a mapping from E ¹ to E ⁿ is performed. In this reference work, only curves in E ² and E ³ will be considered. Let t represent the independent variable in E ¹. An E ² curve is then given by x = f ( t ) ,     y = g ( t )