# Chapter 15: Curves

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## Introduction

The tools of calculus developed so far allow us to describe most of the important
properties of a smooth curve: which are its direction at any point, and how
much it deviates from straightness there. This is measured by its curvature.
How its path differs from planarity is measured by its torsion, also easily
calculated.

## Topics

15.1 Parametric Representation of a Curve and its
Intrinsic Properties

15.2 Intrinsic Properties of a Curve

15.3 Curvature and Radius of Curvature

15.4 Computation of Curvature

15.5 Torsion