Abstract
1. In this paper I consider various properties of the area of a surface including the relationship between Hausdorff measure and the Lebesgue area. The results here obtained will enable me, in a subsequent paper, to investigate the tangential properties of parametric surfaces. For simplicity of exposition I confine my attention to surfaces homoeomorphic to a disk, but the general case follows easily from cyclic element theory.
Publisher
Cambridge University Press (CUP)
Cited by
3 articles.
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1. On tangential properties of Fréchet surfaces;Rendiconti del Circolo Matematico di Palermo;1965-05
2. Tangential properties of Fréchet surfaces;Mathematical Proceedings of the Cambridge Philosophical Society;1958-04
3. Parametric surfaces;Mathematical Proceedings of the Cambridge Philosophical Society;1952-01