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英语翻译To derive an expression for the relation between the cur

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英语翻译
To derive an expression for the relation between the curvature
and the shape of the curve,we shall consider two adjacent
points m and ml,ds apart on the deflection curve.If the
angle which the tangent at m makes with the x axis is denoted
by 0,the angle between the normals to the curve at m and
ml is d0.The intersection point O of these normals gives
the center of curvature and defines the length r of the radius
of the curvature.
为了得到曲率之间的关系表达式
和曲线的形状,我们应考虑两个相邻
米和DS毫升,除了挠度曲线上的点.如果
在M的切线与x轴的角度,让记
0,法线之间的角度,在m曲线
毫升是D0.这些法线相交点O为
曲率中心和定义的半径长度r
曲率.