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Ruled surface has negative Gaussian curvature-How can I prove this?
Wiki User
∙ 12y ago
In each point, there is a line.
The curvature of the surface in this direction is zero.
Therefore the maximum curvature is positive and the minimum is negative.
Gauss curvature in this point is the product of this max and min, and therefore is negative (or zero).
Wiki User
∙ 12y ago
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