curves and surfaces in the context of optometry. part 2: surfaces
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ID: 204884
2006
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Abstract
This paper introduces the differential geom-etry of surfaces in Euclidean 3-space. The first and second fundamental forms of a surface are defined. The first fundamental form provides a metric for calculations of length and area on the surface. The second fundamental form deter-mines surface curvature and, hence, concepts of importance in optometry such as surface power and sagitta. The principal curvatures at a point on a surface are obtained as solutions of a qua-dratic equation. The torus is used to illustrate the methods.
| Reference Key |
harris2006africancurves
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|---|---|
| Authors | ;W.F. Harris |
| Journal | computers in human behavior |
| Year | 2006 |
| DOI |
10.4102/aveh.v65i1.246
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