geometrically

Geometrically is an adverb used to describe something in relation to geometry or in terms defined by geometric principles. It derives from geometry, the branch of mathematics dealing with properties and relations of points, lines, surfaces, and solids, itself from the Greek geōmetría. In English, geometrically modifies verbs and adjectives to indicate that an action, relation, or description is understood through geometric or spatial reasoning.

In practice, geometrically appears in mathematics, science, and everyday language to express ideas about shape, size, position, or growth patterns that follow geometric rules. For example, one might say that two figures are geometrically similar, meaning they have the same shape when scaled, or that a growth process proceeds geometrically, implying each step multiplies the previous amount by a constant ratio. The term can also describe arrangements or patterns that are symmetrical or ordered in a geometric way, such as a design that is geometrically patterned or a structure arranged geometrically around a central point.

Geometrically is often contrasted with terms describing other kinds of relations, such as arithmetically or geographically, to clarify the framework being used. The related adjective forms include geometric and geometrical, while geometrically serves as the corresponding adverb.