【摘要】 维维安尼曲线是一个直径为a的球面与一个经过球的一条直径,且直径为a/2的圆柱面儿相交而成的空间曲线.本文给出维维安尼曲线的曲率与挠率计算公式,并揭示维维安尼曲线的扭曲规律,对维维安尼曲线的相关性质做出一些研究.更多还原

【Abstract】 Vivianni curve is a space curve made from the intersection of an a- diameter sphere and an a /2- diameter cylindrical surface passing through a diameter of the sphere. This paper offers the calculation formula of its curvature and torsion,reveals its distortion law and makes some research on its related properties.更多还原