1. Projective space and its subspaces, intersection and sum of subspaces 2. Arithmetic and geometric base, homogenous coordinate system 3. Analytic expression of subspace 4. Duality in projective spaces 5. Projective extension of affine spaces 6. Complexification of real affine spaces 7. Collineation of projective spaces. Classification of collineations of projective line, plane and 3-space 8. Quadrics on projective space, polar, affine and metric properties of quadrics
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