affinity
[OED]: 5. fig. Causal relationship or connexion (as flowing the one from the other, or having a common source), or such agreement or similarity of nature or character as might result from such relationship if it existed
Affinities (affinitive transformations) may be defined mathematically as projective correspondences (homologies) conserving parallelisms; similarities as affinities conserving angles; movements as similarities conserving distances (p 301).