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Parametric surfaces

II. Tangential properties

Published online by Cambridge University Press:  24 October 2008

E. R. Reifenberg
E. R. Reifenberg
Affiliation:
Trinity CollegeCambridge
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Extract

1. In this paper I investigate the tangential properties of parametric surfaces, leading to the main result that the Lebesgue area is the Hausdorff two-dimensional measure of the set of points of the surface where an approximate tangential plane exists.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 48 , Issue 1 , January 1952 , pp. 46 - 69
Copyright
Copyright © Cambridge Philosophical Society 1952

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References

REFERENCES

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