# affine

af·fine a person related by marriage

Origin of affine

French*affin*from Old French

*afin*from Classical Latin

*affinis*: see affinity

Math. of or having to do with projecting or mapping a geometric figure on a second plane or surface so that the new image retains the original parallel straight lines while being shifted, stretched, etc.

Origin of affine

Modern Latin*affinis*from L: see affinity

## affine

adjective

*Mathematics*

- Of or relating to a transformation of coordinates that is equivalent to a linear transformation followed by a translation.
- Of or relating to the geometry of affine transformations.

Origin of affine

French*affin*

*closely related*

*from*Old French; see

**affined**.

## affine

Adjective

(*comparative* more affine, *superlative* most affine)

- (mathematics) Assigning finite values to finite quantities.
- (mathematics) Of a function, expressible as (which is not linear, but is similar).
- (mathematics) Of or pertaining to a transformation that maps parallel lines to parallel lines and finite points to finite points.
- (comparable, chemistry) Having mutual affinity, of two materials.

Verb

(*third-person singular simple present* affines, *present participle* affining, *simple past and past participle* affined)

- To refine.

*See also:*

**affiné**