Historical Snapshot
摘要
Throughout this book, we will encounter the interplay of metric concepts with algebraic objects. In classical texts such as Salmon’s book [156], metric properties of algebraic varieties were essential. This includes the curvature of algebraic curves and computing their arc lengths and circumscribed areas using integral calculus. Conversely, many curves of interest were defined in terms of distances or angular conditions. This chapter provides an introduction to this classical approach to algebraic curves.