Etymograph

English

scalar

Scalar comes from Latin scālāris ‘Of, pertaining to or resembling a flight of…’, from scandō ‘to climb’, and ultimately from Proto-Indo-European *skend- ‘to jump up, ascend’.

  1. Proto-Indo-Europeanc. 4500–2500 BCE*skend-1‘to jump up, ascend’by way of Proto-Italic *skandōreconstructed
  2. Latinc. 75 BCE–200 CEscandō2as scandere‘to climb’
  3. Latinc. 75 BCE–200 CEscāla2‘a flight of steps, stairs, staircase, ladder, scale’
  4. Latinc. 75 BCE–200 CEscālāris2‘Of, pertaining to or resembling a flight of stairs, or a ladder’
  5. Englishearliest quotation 2003scalar2

attested reconstructed ? uncertain or disputed deepest recorded ancestor

  1. 1 Wiktionary, Latin scando
  2. 2 Wiktionary, English scalar
  3. Earliest quotation in Wiktionary’s entry: 2003, Rodney O. Fox: “However, it can be expected that 'scale-similarity' models of…”.

Lineage

  1. Proto-Indo-Europeanc. 4500–2500 BCE*skend-Wiktionary, Latin scando‘to jump up, ascend’by way of Proto-Italic *skandōreconstructed
  2. Latinc. 75 BCE–200 CEscandōWiktionary, English scalaras scandere‘to climb’
  3. Latinc. 75 BCE–200 CEscālaWiktionary, English scalar‘a flight of steps, stairs, staircase, ladder, scale’
  4. Latinc. 75 BCE–200 CEscālārisWiktionary, English scalar‘Of, pertaining to or resembling a flight of stairs, or a ladder’
  5. Englishearliest quotation 2003scalarWiktionary, English scalar. Earliest quotation in Wiktionary’s entry: 2003, Rodney O. Fox: “However, it can be expected that 'scale-similarity' models of…”

The story

The mathematics sense was coined by Irish mathematician and astronomer William Rowan Hamilton in 1846.

Full etymology on Wiktionary

Linked words

through Proto-Indo-European *skend- ‘to jump up, ascend’

descend, slander, scandalous, skein, 12 more

through Latin scandō ‘to climb’

scan, ascension, ascendant, 6 more

through Latin scāla ‘a flight of steps, stairs, staircase, ladder,…’

scale, echelon, escalator, esca, 4 more

Today it means

adj Having magnitude but not direction.

Sources

Sources: Wiktionary, “scalar”; the older steps come from the Wiktionary entry for Latin scando. By Wiktionary contributors, CC BY-SA 4.0, via kaikki.org (dump of Oct 3 2026); text adapted and restructured. Language periods are conventional ranges, not dates for this word. License.

Etymograph / Proto-Indo-European *skend- / scalar

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