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单词 geodesic polar coordinates
释义

geodesic polar coordinates

When polar coordinates (r,θ) are used to parameterize the plane, centred on the origin, then the first fundamental form is

More generally, at a point on a surface, there is a unique locally defined geodesic in each given tangent direction. Using geodesic polars, so that coordinates (r,θ) are assigned to the point distance r along the geodesic in direction θ, the first fundamental form has E = 1, F = 0, as above.

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更新时间:2025/4/30 3:42:31