Total geodesic curvature and geodesic torsion
Total geodesic curvature and geodesic torsion
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总测地线曲率和测地线挠率
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通讯作者：
J. Whittemore
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作者：
J. Whittemore
在1921年4月23日提交给本学会的一篇关于陀螺仪的论文中，W. F.奥斯古德引入了球面曲线的“弯曲”概念。“弯曲”被定义为由曲线的切线和曲面的法线确定的平面的每单位长度的曲线弧的转动速率。这注记的目的是要说明曲线在任何曲面上的弯曲等于
In a paper on the gyroscope, presented to this Society April 23, 1921, Professor W. F. Osgood introduced the notion of the "bending" of a spherical curve. The "bending" is defined as the rate of turning, per unit length of arc of the curve, of the plane determined by the tangent to the curve and the normal to the surface. I t is the purpose of this note to show that the bending of a curve on any surface is equal to