On the four-vertex theorem for space curves (Q1082608)
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scientific article; zbMATH DE number 3973722
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the four-vertex theorem for space curves |
scientific article; zbMATH DE number 3973722 |
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On the four-vertex theorem for space curves (English)
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1986
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The four-vertex theorem for curves in euclidean 3-space states that a closed curve lying on the boundary of its convex hull has at least 4 points of inflection, i.e points where the osculating plane supports. The author gives a synthetic proof which does not involve projection into the plane but is based upon a geometric interpretation of torsion and curvature.
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four-vertex theorem for curves in euclidean 3-space
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inflection
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torsion
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curvature
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