Parabolic Point
A point 
on a Regular Surface 
is said to be parabolic if the Gaussian Curvature 
but 
(where 
is the Shape Operator), or equivalently, exactly one of the PrincipalCurvatures 
and 
is 0.
References
Gray, A. Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, p. 280, 1993.
- Mason's abc Theorem
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