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Some incidence theorems and integrable discrete equations
Several incidence theorems of planar projective geometry are considered. It
is demonstrated that generalizations of Pascal theorem due to M\"obius give
rise to double cross-ratio equation and Hietarinta equation. The construction
corresponding to the double cross-ratio equation is a reduction to a conic
section of some planar configuration . This configuration provides
a correct definition of the multidimensional quadrilateral lattices on the
plane.Comment: 12 p, 7 fi
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