orthogonal
adj.
perpendicular, made up of right angles
Orthogonality
In
mathematics, orthogonal, as a simple
adjective, not part of a longer phrase, is a generalization of
perpendicular. It means at
right angles, from the
Greek orthos, meaning "straight", used by Euclid to mean right; and gonia, meaning angle. Two streets that cross each other at a right angle are orthogonal to one another. In recent years, "perpendicular" has come to be used more in relation to right triangles outside of a coordinate plane context, whereas "orthogonal" is used when discussing vectors or coordinate geometry.
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orthogonal
Adjective
1. not pertinent to the matter under consideration; "an issue extraneous to the debate"; "the price was immaterial"; "mentioned several impertinent facts before finally coming to the point"
(synonym) extraneous, immaterial, impertinent
(similar) irrelevant
2. statistically unrelated
(similar) unrelated
3. 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"; "a rectangular Cartesian coordinate system"
(synonym) rectangular
(similar) perpendicular
orthogonal
adj.
orthogonal, perpendicular
Orthogonal
(a.)
Right-angled; rectangular; as, an orthogonal intersection of one curve with another.
Webster's Revised Unabridged Dictionary (1913), edited by Noah Porter.
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