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TITEICA SURFACE
Surface studied by Titeica in 1907.
Gheorghe Titeica (1873 - 1939): Romanian mathematician. See: http://www.emis.de/journals/BJGA/10.1/bt-sogh.pdf |
Condition for a surface to be a Titeica surface (Monge notations): . |
A Titeica surface is a surface such that the Gaussian curvature at a point M is proportional to the fourth power of the distance from the tangent plane at M to a fixed point O, called the center.
An example is the following cubic surface:
Cartesian equation: .
Cubic surface. Gaussian curvature: . Distance from O to the tangent plane: (). |
See here another
characteristic property of this surface.
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© Robert FERRÉOL
2017