Assertion: gaussian curvature | /r/HasProperty | negative
Facets:
value: everywhere
type: LOCATION
Source sentences:
text: The Gaussian curvature can also be negative, as in the case of a hyperboloid or the inside of a torus.
text: If both principal curvatures are of the same sign: κ 1 κ 2 > 0 , then the Gaussian curvature is positive and the surface is said to have an elliptic point.
text: If the principal curvatures have different signs: κ 1 κ 2 < 0 , then the Gaussian curvature is negative and the surface is said to have a hyperbolic or saddle point.
text: , then the Gaussian curvature is negative and the surface is said to have a hyperbolic or saddle point.
text: The Gaussian curvature of a strake is actually negative, hence the annular strip must be stretched—although this can be minimized by narrowing the shapes.
text: The Gaussian curvature can be positive, negative, or zero.
text: , then the Gaussian curvature is positive and the surface is said to have an elliptic point.
text: The Gaussian curvature can be positive, negative, or zero.
text: If the Gaussian curvature of a surface M is everywhere positive, then the Euler characteristic is positive