Equiangular Points |
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Authors: | M D Kovalev |
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Institution: | (1) Moscow State University, Moscow, Russia |
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Abstract: | Apoint T is an equiangular point of a collection of localized vectors if all of them are seen from T at an equal oriented
angle. It is proved that almost each planar triple of vectors with fixed origins (not all of which coincide) has an equiangular
point. As a consequence, it is proved that if a planar triple of vectors has no equiangular points, then their projections
to a certain axis are equal.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 299, 2003, pp. 162–168. |
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