Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conways Circle Theorem: A Short Proof Enabling Generalization to
  Polygons   John Conway's Circle Theorem is a gem of plane geometry. The six points
formed by continuing the sides of a triangle beyond every vertex by the length
of its opposite side, are concyclic. The theorem has attracted several proofs.
We present a short proof that views the extended sides as equal tangents of the
incircle, a perspective that enables generalization to polygons.

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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph