Generalized Cone

A Ruled Surface is called a generalized cone if it can be parameterized by , where is a fixed point which can be regarded as the vertex of the cone. A generalized cone is a Regular Surfacewherever . The above surface is a generalized cylinder over a Cardioid.A generalized cone is a Flat Surface.

References

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

• Lin's Method
• Liouville Function
• Liouville Measure
• Liouville Number
• Liouville Polynomial Identity
• Liouville-Roth Constant
• Liouville's Boundedness Theorem
• Liouville's Conformality Theorem
• Liouville's Conic Theorem
• Liouville's Constant
• Liouville's Elliptic Function Theorem
• Liouville Space
• Liouville's Phase Space Theorem
• Liouville's Rational Approximation Theorem
• Liouville's Sphere-Preserving Theorem
• Lipschitz Condition
• Lipschitz Function
• Lipschitz's Integral
• Lissajous Curve
• Lissajous Figure
• List
• Lituus
• Lituus Inverse Curve
• LLL Algorithm
• Ln