Affine is a term that is commonly used in mathematics, geometry, and other fields. It is a word that has its roots in Latin and has been in use for centuries. In this article, we will explore the definition and meaning of affine, its origin, and how it is used in different contexts.

## Definitions

In mathematics, affine refers to a type of transformation that preserves parallel lines and ratios of distances. It is a linear transformation that includes translation, rotation, and scaling. In geometry, affine refers to a transformation that preserves straight lines but not necessarily the lengths of the segments, angles, or areas.

In linguistics, affine refers to a relationship between two words that have the same root or origin. In genealogy, affine refers to a relative by marriage rather than by blood.

## Origin

The word affine comes from the Latin word “affinis,” which means “related by marriage.” It was first used in the 17th century to describe a type of mathematical transformation.

## Meaning in different dictionaries

According to the Merriam-Webster dictionary, affine means “related by marriage” or “having a close relationship.”

The Oxford English Dictionary defines affine as “related by marriage” or “having a linear transformation that preserves parallel lines and ratios of distances.”

## Associations

Affine is commonly associated with mathematics, geometry, and linguistics. It is also associated with genealogy and family relationships.

## Synonyms

Synonyms of affine include related, connected, associated, and linked.

## Antonyms

Antonyms of affine include unrelated, unconnected, and dissociated.

## The same root words

Words that have the same root as affine include affinity, affinal, and affinitive.

## Example Sentences

- The affine transformation of the image preserved the parallel lines and ratios of distances.
- The two languages have many affine words that share the same root.
- He is not my blood relative, but my affine relative by marriage.
- The two companies have an affine relationship and often collaborate on projects.
- His affinity for music led him to pursue a career in the industry.