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Number & MeasureGreekEnglish

Orthogonal

/ɔːrˈθɒɡənəl/adjective

Meeting at right angles, or more generally independent, so that varying one thing has no effect on the other.

The Greek roots

ὀρθός
orthós
straight, upright, correct
+
γωνία
gōnía
angle, corner

Literally: right-angled

The story of the word

Euclid's phrase for a right angle was ὀρθὴ γωνία, an upright angle, the angle a plumb line makes with level ground, which is why ὀρθός carries both 'straight' and 'correct' and turns up in orthodox and orthodontics. Mathematics generalised the geometry until two functions with no overlap could be called orthogonal, and engineers then borrowed that abstraction for design decisions that do not interfere. The vogue sense of 'irrelevant to the question' is a further stretch, and pedants resist it.

How it travelled
Ancient Greek → Latin → French → English
First recorded
16th century

The same roots elsewhere

Other languages reached for exactly the same Greek pieces.

Same family

orthodoxorthographypolygondiagonal

In a sentence

Cost and latency turned out to be orthogonal, so we could tune them separately.

Built on the same root

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