### Some articles on *collineations, collineation*:

Projective Linear Group - Name -

... A related group is the

**Collineations**... A related group is the

**collineation**group, which is defined axiomatically ... A**collineation**is an invertible (or more generally one-to-one) map which sends collinear points to collinear points ... g of the set of lines, preserving the incidence relation, which is exactly a**collineation**of a space to itself ...Projective Plane -

... (or projective transformation) of PG(2,K) is a

**Collineations**- Homography... (or projective transformation) of PG(2,K) is a

**collineation**of this type of projective plane which is a linear transformation of the underlying vector space ... Another type of**collineation**of PG(2,K) is induced by any automorphism of K, these are called automorphic**collineations**... If α is an automorphism of K, then the**collineation**given by (x0,x1,x2) → (x0α,x1α,x2α) is an automorphic**collineation**...Collineation - Types

... The main examples of

... The main examples of

**collineations**are projective linear transformations (also known as homographies) and automorphic**collineations**... of projective geometry states that all**collineations**are a combination of these, as described below ... A duality is a**collineation**from a projective space onto its dual space, taking points to hyperplanes (and vice versa) and preserving incidence ...Main Site Subjects

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