# Centro-affine geometry

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The branch of affine geometry in which one studies invariants of centro-affine transformations: $\overline{x}\; {} ^ {i} = A _ {s} ^ {i} x ^ {s}$. Centro-affine transformations leave one point (the centre) fixed. In centro-affine geometry there is complete duality: To every proposition concerning points corresponds the same proposition concerning hyperplanes.