摘要
主要证明了定理 设正则曲线C的曲率的最大值是K,AB是C上的一段弧,其长为l,若l<π/K,+则AB的每一弦切角都不大于1/2Kl.利用这个定理,还证明了关于曲线全曲率的一些定理.
The following theorem is proved:Let AT be the maximum of the curvature of a regular curve C, A Ban arc of C and /thelength of AB. If - then the angles formed by the chord of A Band the tangents at Aand B respectively arc< rK/.With the aid of this theorem, some other theorems on the total curvature of a curve are also proved.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
1992年第3期293-299,共7页
Journal of Southwest China Normal University(Natural Science Edition)
关键词
正则曲线
曲线
曲率
凸域
扭转
regular curve
curvature of a curve
convex domain
twist of a curve
geodesic curvature
