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Differential Geometry of Surfaces

Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Abstract

Let us consider a surface in space, given by an equation of the form F (x, y, z) = 0. We shall assume we have a map from a region of the plane, with coordinates (u, v) onto part of the surface, and that we can differentiate this map as often as we like. We assume that at each point of the surface the directions u-increasing and v-increasing are distinct.

Keywords

Great Circle Euclidean Geometry Real Point Geodesic Triangle Limit Circle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer-Verlag London Limited 2007

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