Differential Geometry of Surfaces
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.
KeywordsGreat Circle Euclidean Geometry Real Point Geodesic Triangle Limit Circle
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