Definition of ORTHOGONAL

orthogonal

Plural: orthogonals

Adjective Satellite

  • not pertinent to the matter under consideration
  • statistically unrelated
  • having a set of mutually perpendicular axes; meeting at right angles
    • "wind and sea may displace the ship's center of gravity along three orthogonal axes"

Adj

  • Of two objects, at right angles; perpendicular to each other.
  • Of a pair of vectors: having a zero inner product; perpendicular.
  • 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 elements in an ortholattice: each less than or equal to the orthocomplement of the other.
  • Statistically independent, with reference to variates.
  • Of two or more aspects of a problem, able to be treated separately; of a design, exhibiting consistency and composability.
  • Of two or more problems or subjects, independent of or irrelevant to each other.

Noun

  • An orthogonal line.

Examples

  • A chord and the radius that bisects it are orthogonal.
  • All of the orthogonals in this painting display an understanding of linear perspective.
  • The content of the message should be orthogonal to the means of its delivery.
  • The normal vector and tangent vector at a given point are orthogonal.

Origin / Etymology

From Middle French orthogonal, in turn from Medieval Latin orthogōnālis and Latin orthogōnius (“right-angled”), ultimately from Ancient Greek ὀρθογώνιος (orthogṓnios, “rectangular”). By surface analysis, ortho- + -gon + -al.

Scrabble Score: 14

orthogonal: valid Scrabble (US) TWL Word
orthogonal: valid Scrabble Word in Merriam-Webster MW Dictionary
orthogonal: valid Scrabble Word in International Collins CSW Dictionary

Words With Friends Score: 16

orthogonal: valid Words With Friends Word