Adjective

(-)

(geometry) Of two objects, at right angles; perpendicular to each other.

A chord and the radius that bisects it are orthogonal .

(mathematics)

# Of a pair of vectors: having a zero inner product; perpendicular.

The normal vector and tangent vector at a given point are orthogonal .

# Of a square matrix: such that its transpose is equal to its inverse.

# Of a linear transformation: preserving its angles.

# Of grid graphs, board games and polyominoes: vertical or horizontal but not diagonal.

(statistics) Statistically independent, with reference to variates.

(software engineering) Of two or more aspects of a problem, able to be treated separately.

The content of the message should be orthogonal to the means of its delivery.

Of two or more problems or subjects, independent of or irrelevant to each other.

Adjective

(er)

Untrue, not factual, factually incorrect.

*{{quote-book, year=1551, year_published=1888

, title= A New English Dictionary on Historical Principles: Founded Mainly on the Materials Collected by the Philological Society , section=Part 1, publisher=Clarendon Press, location=Oxford, editor= , volume=1, page=217 , passage=Also the rule of false position, with dyuers examples not onely vulgar, but some appertaynyng to the rule of Algeber.}}

Based on factually incorrect premises: false legislation

Spurious, artificial.

:

*

*:At her invitation he outlined for her the succeeding chapters with terse military accuracy?; and what she liked best and best understood was avoidance of that false modesty which condescends, turning technicality into pabulum.

(lb) Of a state in Boolean logic that indicates a negative result.

Uttering falsehood; dishonest or deceitful.

:

Not faithful or loyal, as to obligations, allegiance, vows, etc.; untrue; treacherous.

:

*(John Milton) (1608-1674)

*:I to myself was false , ere thou to me.

Not well founded; not firm or trustworthy; erroneous.

:

*(Edmund Spenser) (c.1552–1599)

*:whose false foundation waves have swept away

Not essential or permanent, as parts of a structure which are temporary or supplemental.

(lb) Out of tune.