Geodesic
Solid angles subtended by multidimensional ellipsoids
Matematičeskie zametki, Tome 8 (1970) no. 5, pp. 675-679 Cet article a éte moissonné depuis la source Math-Net.Ru

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A theorem is stated and proved which determines the points on an ellipsoid at which an arbitrary homothetic concentric ellipsoid subtends the maximum and minimum solid angles. 
@article{MZM_1970_8_5_a14,
     author = {E. G. Nikolaev},
     title = {Solid angles subtended by multidimensional ellipsoids},
     journal = {Matemati\v{c}eskie zametki},
     pages = {675--679},
     year = {1970},
     volume = {8},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_5_a14/}
}
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VL  - 8
IS  - 5
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%J Matematičeskie zametki
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%N 5
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E. G. Nikolaev. Solid angles subtended by multidimensional ellipsoids. Matematičeskie zametki, Tome 8 (1970) no. 5, pp. 675-679. http://geodesic.mathdoc.fr/item/MZM_1970_8_5_a14/