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Quotes from A Treatise on the Differential Geometry of Curves and Surfaces — Luther P. Eisenhart

1876–1965 United States

← All quotes by Luther P. Eisenhart

2 quotes

[F]or the hyperboloid of one sheet and the hyperbolic paraboloid the curvature is negative at every point.

A Treatise on the Differential Geometry of Curves and Surfaces (1909)

When an hyperboloid of revolution of one sheet is deformed into another ruled surface, the circle of gorge becomes a Bertrand curve and the generators are parallel to the corresponding binormals of the conjugate Bertrand curve.

A Treatise on the Differential Geometry of Curves and Surfaces (1909)

Attribution

Quotes and notes from Wikiquote: Luther P. Eisenhart (page history), available under CC BY-SA 4.0.