Generalized Cylinder

A Ruled Surface is called a generalized cylinder if it can be parameterized by ,where is a fixed point. A generalized cylinder is a Regular Surface wherever . The above surface is a generalized cylinder over a Cardioid. A generalized cylinder is a Flat Surface.

References

Gray, A. Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 341-342, 1993.

• Ordering Axioms
• Order (Modulo)
• Order (Ordinary Differential Equation)
• Order (Permutation)
• Order (Polynomial)
• Order Statistic
• Order (Vertex)
• Ordinal Number
• Ordinary Differential Equation
• Ordinary Differential Equation--First-Order
• Ordinary Differential Equation--First-Order Exact
• Ordinary Differential Equation Second-Order
• Ordinary Differential Equation--System with Constant Coefficients
• Ordinary Double Point
• Ordinary Line
• Ordinary Point
• Ordinate
• Ore Number
• Ore's Conjecture
• Ore's Theorem
• Orientable Surface
• Orientation (Plane Curve)
• Orientation-Preserving
• Orientation-Reversing
• Orientation (Vectors)