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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