A Monge patch is a Patch
of the form

(1) |

(2) | |||

(3) | |||

(4) |

and the second Fundamental Form by

(5) | |||

(6) | |||

(7) |

For a Monge patch, the Gaussian Curvature and Mean Curvature are

(8) | |||

(9) |

**References**

Gray, A. *Modern Differential Geometry of Curves and Surfaces.* Boca Raton, FL: CRC Press, pp. 305-306, 1993.

© 1996-9

1999-05-26