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Origin and history of gradient

gradient(n.)

"steep slope of a road or railroad," 1835, principally in American English, probably from grade (n.) by analogy of quotient, etc. [OED]. It was used 17c. as an adjective, of animals, "characterized by walking;" in that case it is probably from Latin gradientem, present participle of gradi "to walk."

also from 1835

Entries linking to gradient

grade(n.)

1510s, "degree of measurement," from French grade "grade, degree" (16c.), from Latin gradus "a step, a pace, gait; a step climbed (on a ladder or stair);" figuratively "a step toward something, a degree of something rising by stages," from gradi (past participle gressus) "to walk, step, go," from PIE root *ghredh- "to walk, go." It replaced Middle English gree "a step, degree in a series," from Old French grei "step," from Latin gradus.

Meaning "inclination of a road or railroad" is from 1811. Meaning "class of things having the same quality or value" is from 1807; meaning "division of a school curriculum equivalent to one year" is from 1835; that of "letter-mark indicating assessment of a student's work" is from 1886 (earlier used of numerical grades). Grade A "top quality, fit for human consumption" (originally of milk) is from a U.S. system instituted in 1912. To figuratively make the grade "be successful" is from 1912; early examples do not make clear whether the literal grade in mind was one of elevation, quality, or scholarship.

quotient(n.)

in mathematics, "the result of the process of division, quantity resulting from the division of one number by another, number of times one quantity is contained in another," mid-15c., quocient, from Latin quotiens "how often? how many times?; as often as," pronominal adverb of time, from quot "how many?" (from PIE root *kwo-, stem of relative and interrogative pronouns). The Latin adverb quotiens was mistaken in Middle English for a present participle of quot in -ens.

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    slope
    1590s, "go in an oblique direction," from earlier adjective meaning "slanting" (c. 1500), probably from Middle English aslope (adv.) "on the incline" (late 15c.), from Old English *aslopen, past participle of aslupan "to slip away," from a- "away" + slupan "to slip" (see sleeve).
    position
    late 14c., posicioun, as a term in logic and philosophy, "statement of belief, the laying down of a proposition or thesis," from Old French posicion "position, supposition" (Modern French position) and directly from Latin positionem (nominative positio) "act or fact of placing, s
    change
    c. 1200, "to alter, make different, change" (transitive); early 13c. as "to substitute one for another;" mid-13c. as "to make (something) other than what it was, cause to turn or pass from one state to another;" from late 13c. as "to become different, be altered" (intransitive),
    pitch
    "thick, tenacious, resinous substance obtained from tar or turpentine, wood tar," late 12c., pich, piche, from Old English pic "pitch," from a Germanic borrowing (compare Old Saxon and Old Frisian pik, Middle Dutch pik, Dutch pek, Old High German pek, German Pech, Old Norse bik)
    slant
    1520s, "to strike obliquely" (against something), alteration of slenten "slip sideways" (c. 1300), perhaps via a Scandinavian source (compare Swedish slinta "to slip," Norwegian slenta "to fall on one side"), from Proto-Germanic *slintanan. The intransitive sense of "to slope, to
    rake
    "toothed tool for drawing or scraping things together," Old English raca "rake," earlier ræce, from Proto-Germanic *rak- "gather, heap up" (source also of Old Norse reka "spade, shovel," Old High German rehho, German Rechen "a rake," Gothic rikan "to heap up, collect"), from PIE
    finance
    c. 1400, "an end, settlement, retribution," from Old French finance "end, ending; pardon, remission; payment, expense; settlement of a debt" (13c.), noun of action from finer "to end, settle a dispute or debt," from fin (see fine (n.)). Compare Medieval Latin finis "a payment in
    boast
    mid-13c., "arrogance, presumption, pride, vanity;" c. 1300, "a brag, boastful speech," from Anglo-French bost "ostentation," probably from a Scandinavian source (compare Norwegian baus "proud, bold, daring"), from Proto-Germanic *bausia "to blow up, puff up, swell" (source also o
    discourse
    late 14c., "process of understanding, reasoning, thought," from French discours, from Latin discursus "a running about," in Late Latin "conversation," in Medieval Latin "reasoning," noun use of past participle of discurrere "to run about, run to and fro, hasten," in Late Latin "t
    kaput
    "finished, worn out, dead," 1895 as a German word in English, from German kaputt "destroyed, ruined, lost" (1640s), which in this sense probably is a misunderstanding of an expression from card-playing, capot machen, a partial translation into German of French faire capot, a phra

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