CAJ | 학술논문

悬链线是微积分、微分方程、微分几何、变分计算及数值分析中的一个重要课题.本文通过一些诸如方轮自行车、旋转的最小面积等有趣的例子,计算悬链线和相应半圆下面的面积,证明悬链线到处都有,但并不是无处不在.
현련선시미적분、미분방정、미분궤하、변분계산급수치분석중적일개중요과제.본문통과일사제여방륜자행차、선전적최소면적등유취적례자,계산현련선화상응반원하면적면적,증명현련선도처도유,단병불시무처불재.
Catenary is an important topic in calculus,differential equations,differential geometry,variational calculus,and even in numerical analysis.A great deal of work has been reported regarding the catenary.In this note,in addition to some interesting examples of the catenary in geometry such as the square wheels bicycle,minimal surface of revolution,by calculating the areas below the catenary and half-circle,we show,even in geometry,the catenary is not everywhere.