They are only the special examples of ophericslcycloid,This article proves that three geometrical properties of cycloid are partly applied to the hypocycloid and epicycloid, but none of them is applito to the spherical cycloid,The expression of the length of arc for sphentalcydoid is also derived from the article.
摆线、内摆线和外摆线是平面摆线，它们只是球面摆线的特殊情况。
Study on the Spherical Surface Cone-cycloid Nutation Drive 2K-H;
2K-H型空间球面锥摆线进动传动的研究
The Basic Theoretical Study and Calculation Software Development of Spatial-Cycloid-Ball Precise Gearing;
球面摆线钢球精密传动基础理论研究及计算软件开发
STUDY ON THE DYNAMICAL PERFORMANCE OF END FACE ENGAGEMENT CYCLOID STEEL BALL PLANETARY TRANSMISSION;
端面啮合摆线钢球行星传动的动力性能研究
The vibration curve in θ φ plane is helpful to analyze the orbit of bob motion on the sphere.
θ φ面上的振动曲线有助于分析摆球在球面上的运动轨迹。
Force and Strength Analysis on End Face Engagement Cycloid Steel Ball Planeary Transmission
端面啮合摆线钢球行星传动啮合副力及强度分析
a circle that rolls around (inside or outside) another circle; generates an epicycloid or hypocycloid.
绕着另一个圆圈（里面或外面）滚转的圆圈；产生外摆线或内摆线。
Research and analysis on profile curve of double-cycloid ball planetary reducer
双摆线钢球减速器齿廓曲线的研究与分析
spherical indicatrix of binormal to a curve
曲线副法线球面指标
spherical indicatrix of tangent to a curve
曲线切线的球面指标
The Backlash Adjustment Moment Analysis on Double Cycloid no Backlash Steel Backlash Steel Ball Trausmlssion
双摆线无隙钢球传动间隙调节力矩分析
The Fuzzy Reliability Optimum Design Of Cycloid Steel Ball Planetary Transmission
摆线钢球行星传动的模糊可靠性优化设计
Establishing and analysis of mechanical model about input organ of cycloid ball reducer
摆线钢球减速器输入机构力学模型的建立
Study on the Error and Drive Accuray of Cycloid Steel Ball Planetary Transmission;
摆线钢球行星传动的误差及传动精度研究
The Error Analysis and Optimum Design of Cycloid Ball Planetary Reducer;
摆线钢球行星减速器的误差分析及优化设计
Development of Ground Testing System for Swing-scanning Infrared Earth Sensor
摆动扫描式红外地球敏感器地面测试系统研制
Uncertainty Analysis on Swing-arm Profilometer for Optical Aspherics
光学非球面形摆臂式测量不确定度分析
Lines pierce the sphere in points.
直线与球面相交为点。
Study on Gearing Theory for Manufacturing of Epicycloidal Bevel Gears;
面向制造的摆线齿锥齿轮啮合理论研究
A theoretic analysis of the selection of timing point of the plane single pendulum from the non-linear perspective;
平面单摆计时点选取的非线性理论分析