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Collapsible circular sections of quadric surfaces

Published online by Cambridge University Press:  31 October 2008

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Cardboard or wire models of ellipsoids and hyperboloids exist which consist of two sets of circular sections. They cover the quadric surface with curvilinear quadrilaterals, whose sides remain constant in length when the model alters in shape. In fact the models admit of one degree of freedom—they are collapsible—and the angle between the two sets of circular sections can be varied.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1940

References

1 Analytical Geometry of Three Dimensions (Cambridge, 1934), p. 206.Google Scholar