Definify.com
Webster 1913 Edition
Orthogonal
Or-thog′o-nal
,Adj.
[Cf. F.
orthogonal
.] Right-angled; rectangular;
as, an
. orthogonal
intersection of one curve with anotherOrthogonal projection
. See under
Orthographic
.Webster 1828 Edition
Orthogonal
ORTHOG'ONAL
,Adj.
Definition 2024
orthogonal
orthogonal
English
Adjective
orthogonal (not comparable)
- (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.
- Of a pair of vectors: having a zero inner product; perpendicular.
- (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.
Derived terms
Related terms
- orthogonalization
- orthogonal base
- orthogonal matrix
- orthogonal transform
- orthonormal
See also
Translations
of right angles
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mathematical term
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statistically independent
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able to be treated separately
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French
Etymology
From Ancient Greek ορθός (orthós, “correct, straight, right”) and γωνία (gōnía, “angle”).
Pronunciation
- IPA(key): /ɔʁtɔɡɔnal/
Adjective
orthogonal m (feminine singular orthogonale, masculine plural orthogonaux, feminine plural orthogonales)
German
Etymology
From Medieval Latin orthogonalis, from Latin orthogonius (“right-angled”).
Pronunciation
- Rhymes: -aːl
Adjective
orthogonal (not comparable)
Declension
Declension of orthogonal