Conics in normed planes

Details Conics in normed planes Conics in normed planes

2011-02-15

arxiv.org/abs/1102.3008v1

Mathematics

Metric Geometry

12 pages, 8 figures

Scientific paper

We study the generalized analogues of conics for normed planes by using the following natural approach: It is well known that there are different metrical definitions of conics in the Euclidean plane. We investigate how these definitions extend to normed planes, and we show that in this more general framework these different definitions yield, in almost all cases, different classes of curves.

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