Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A theorem on circle configurations   A formula for the radii and positions of four circles in the plane for an
arbitrary linearly independent circle configuration is found. Among special
cases is the recent extended Descartes Theorem on the Descartes configuration
and an analytic solution to the Apollonian problem. The general theorem for
n-spheres is also considered.

36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin