Projective space

Homogenous coördinates

Homogenous coördinates are a system of coördinates used to label (not uniquely) points in a Projective space . A projective point is labelled by scalars that are not all zero, written as

where any nonzero multiple of the coördinates denotes the same point. Viewing as the quotient , the point denotes the equivalence class of .

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