Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Method of Archimedes in the geometry of quadrics   Confocal quadrics capture (encode) and geometrize spectral properties of
symmetric operators. Certain metric-projective properties of confocal quadrics
(most of them established in the first half of the XIX$^{\mathrm{th}}$ century)
{\it carry out} (stick and transfer) by rolling to and influence surfaces {\it
applicable} (isometric) to quadrics and surfaces geometrically linked to these,
thus providing a wealth of integrable systems and projective transformations of
their solutions. We shall mainly follow Bianchi's discussion of deformations
(through bending) of quadrics. Interestingly enough, {\it The Method} of
Archimedes (lost for 7 centuries and rediscovered in the same year as Bianchi's
discovery (1906), so unknown to Bianchi) applies {\it word by word in both
spirit and the letter} and may provide the key to generalizations in other
settings.

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The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin