Furmidge Equation Revisited. [PDF]
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Line Geometry, Sphere Geometry, Kinematics
2020A Dupin cyclide is a quartic and cyclic surface. It is the envelope of a one parameter family of spheres. In Lie’s model of sphere geometry, it is represented by a conic. Lie’s line-sphere-mapping maps a conic in Lie’s quadric to a conic on Plucker’s quadric which corresponds to a regulus in the manifold of lines.
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