Collineation is a term related to geometry that refers to a mapping of points onto a line or a set of parallel lines. Synonyms for collineation include projectivity, perspectivity, and homography. These terms describe the same concept of a transformation that preserves collinearity, meaning that points that were already on a line before the transformation remain on a line after the transformation. Another synonym for collineation is an affine transformation, which is a linear transformation that preserves parallelism and ratios of distances. In summary, there are several synonyms for collineation that all describe the same concept of a mapping that preserves collinearity.