Geodesic
On equi-angular points
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 8, Tome 299 (2003), pp. 162-168

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A point $T$ is an equi-angular 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 all triples of vectors in the plane with fixed origins (not all of which coincide) have an euqi-angular point. As a consequence, it is proved that if a triple of vectors in the plane has no equi-angular point, then their projections to a certain axis are equal. 
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     author = {M. D. Kovalev},
     title = {On equi-angular points},
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M. D. Kovalev. On equi-angular points. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 8, Tome 299 (2003), pp. 162-168. http://geodesic.mathdoc.fr/item/ZNSL_2003_299_a9/