摘要
曲线长度的度量和分析是一项具有基础理论和应用价值双重意义的研究课题。本文从圆弧曲线长度的数学分析入手,对常曲率和变曲率凸形曲线的直观度量进行了理论探讨,并提供了一种简便的方法和相应的工具。为工程设计中常用曲线的定量分析开辟了一条途径。
Measuring and analysis of curve length is a valued research subject both in basic theory and practical application.This paper takes the mathematical analysis of arc length as a point of departure, approaches the direct measuring methods of convex curve length of constant and variable curvature in theory.A practical and convenient method as well as relevant tools are also presented in the paper.This research opens up a new way for measuring common curve lengths free from tedious calculation in engineering design.
