orthogonally

Crossing at ninety

Orthogonally means at right angles.

In geometry, lines that meet orthogonally form a 90-degree intersection.

The word extends to any context where things are independent or unrelated—affecting one doesn't affect the other: These two problems are orthogonally related; solving one won't help with the other.

Common in technical and academic writing.

geometric

perpendicular

At right angles

coordinate · vector · plane · normal · vertical · horizontal · transverse · grid · quadrant · dimension

contrast

opposed

Against something stated

counterpoint · inverse · different · distinct · disparate · conflicting · incompatible · incongruent · at-odds · crosswise

independent

uncorrelated

Lacking statistical relationship

disjoint · decoupled · autonomous · isolated · disconnected · compartmentalized · siloed · partitioned · segregated · independent

Opposites
geometric angle relationship

orthogonallyparallel

Equidistant at all points

in parallel · collinearly · obliquely · coaxially · tangentially

conceptual independence/interdependence

orthogonallydependently

While relying on another

interdependently · conjointly · connectedly · inextricably · codependently

Family

orthogonal, orthogonality

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