Orthogonal projections based on hyperbolic and spherical \(n\)-simplex (Q277771)
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scientific article; zbMATH DE number 6575741
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Orthogonal projections based on hyperbolic and spherical \(n\)-simplex |
scientific article; zbMATH DE number 6575741 |
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Orthogonal projections based on hyperbolic and spherical \(n\)-simplex (English)
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2 May 2016
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Summary: Orthogonal projection along a geodesic to the chosen \(k\)-plane is introduced using edge and Gram matrix of an \(n\)-simplex in hyperbolic or spherical \(n\)-space. The distance from a point to \(k\)-plane is obtained by the orthogonal projection. It is also given the perpendicular foot from a point to \(k\)-plane of hyperbolic and spherical \(n\)-space.
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