Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Singular Miquel Configuration and the Miquel Direct Similarity   Let ABC be a triangle with P on AB, and let circle APC meet BC at Q and
circle BPC meet CA at R, then the special Miquel configuration is when P, Q, R
are the operative points on the sides. We show that in this case if S is the
Miquel point then ASQ and BSR are straight lines. In the last part we
investigate the direct similarity between ABC and DEF the triangle formed by
the centres of the Miquel circles.

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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex