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“high” in Latin

Riddle & Arnold A Copious and Critical English–Latin Lexicon, 1864

high
altus (denotes the perpendicular height of an object, or the distance of its highest point from the surface of the earth; hence, in expressions of measure, it is only this adjective that can be used): Cels. (high in respect of others; of things which rise above the level of the earth, or above the usual standard): excelsus (towering high above others, remarkably high. All these are used figuratively when high = “lofty,” “elevated,” but with this difference, that altus denotes loftiness absolutely; Cels. and excelsus, in comparison with less elevated objects): editus: in altum editus (raised from a level or lower country, opposed to planus; only of places, hills, and mountains): elatus (raised, lofty, especially of words, tones, elati modi, and then of ingenium): erectus (upright, standing straight up; then figuratively; e.g., high-minded): arduus: aditu arduus (high in respect of the lateral surfaces of on object, which rises more in a perpendicular than in a sloping direction; figuratively arduus denotes what is hardly, if at all, attainable): procerus (stretched out in length; grown tall, slim; opposed to brevis, Greek εὐμήκης, only of things which have attained to their height by growth): sublimis (directed upward toward the sky, high in the air, of things which float or rise high in the air; opposed to humilis; figuratively = raised above the ordinary standard, exceeding the ordinary powers of understanding; able to penetrate more deeply into a thing): acutus (clear, of tone; opposed to gravis; in which signification altus is not Latin, since altus sonus, alta vox relate to the fullness, body, or compass of the sound; Vid: Quint., 11, 3, 23; Cutull. 12, 18): carus (dear, high in price): magnus (great, considerable, high in price, then high in its intensive strength and importance): amplus (high in dignity): nobilis (high in birth and reputation): higher, also superior (upper, both in situation and in rank): very high, also praealtus: the highest, summus (the highest, greatest, in respect of what is higher, in situation, rank, degree, etc.; opposed to imus, infimus): supremus (the highest, uppermost, in respect of a lower; hence, also, the highest in degree or rank; opposed to infimus); the superlatives of the other adjectives may of course be used: the Most High (i. e., God); Deus supremus (the Supreme God); Deus optimus maximus (the best and greatest). In denoting measure, the Latins express “high” either by altus, with the accusative, or by in altitudinem (τὸ ὕψος) with the genitive of the measure; e.g., to be fifty feet high, quinquaginta pedes altum esse, or in altitudinem quinquaginta pedum eminere. A high mountain, mons altus, excelsus or arduus: an extremely high mountain, mons in immensum editus: a high hill, collis in altum editus; collis aditu arduus: a not very high hill, collis paullum ex planitie editus: a place whose situation is high, locus editus or in altum editus: a higher place, locus editior or superior: of persons, trees, etc. [Vid: TALL]: high water, aquae magnae (Liv., 24, 9): very high water, aquae ingentes (Liv., 38, 28): to fall from on high, ex alto decidere: to rise or fly high in the air, sublime (☞ in sublime is not classical) ferri (general term); sublimem abire (general term, of living creatures); sublime se levare (of birds): to soar very high, altissime assurgere (of the mind; Vid: Plin., Ep., 8, 4, 3): to be high of the weather-glass), *alte assurrexisse or ascendisse: to lie high (as a house), eminere; *in loco editiore exstructum esse: high time, tempus summum; temporis discrimen (with the idea of danger): it is high time, tempus urget: it is high time for you to go, *jam censeo, abeas: it is high time for you to come, exspectatus venis: when the sun was already high., multo jam die: a high price, pretium magnum: at a high price, magni pretii (esse); magno (constare): to buy at a high price, magno emere: to become higher in price, carius fieri or venire (general term, to become dearer, to be sold for more); ingravescere, incendi (to rise, get up; of the annona; i. e., corn, or price of corn): to bid higher, *plus promittere (general term, to be willing to give more); contra liceri (at auctions): constantly to bid higher than another (to outbid him), aliquo licente contra liceri: to bid too high, immoderatius liceri in aliqua re: to attribute a high value to anything, to place a high value on it, aliquid magni or magno aestimare; alicui rei multum tribuere: to charge anything high to anybody, aliquid alicui magni inducere (as a service): to be of higher value than anything (figuratively), praestare alicui rei (e.g., bona existimatio praestat divitiis; Cic., De Or., 2, 40, 172): high and low, summi et infimi: the highest magistrates, summi magistratus: the higher sciences, studia altiora et artes: the higher mathematics, *mathematica altiora (noun plur.): a high style of composition, sublime dicendi genus: a thing is too high for me (exceeds my power of comprehension), aliquid mente mea assequi or capere non possum; aliquid procul est a mea cogitatione: a high opinion, magna opinio (e.g., men entertain a high opinion of his courage, aliquis habet magnam opinionem virtutis; Vid: Caes., B.G., 7, 60; ☞ Liv., 6, 6, 9, ut tanto de se consensu civitas opinionem, quae maxima sit, constantem efficiat: (☞ alta opinio is not classical). To have a high opinion of one’s self; to carry one’s head high, magnifice de se statuere: to aim high (figuratively), altiores spiritus gerere (Tac., Hist., 3, 66, 5): to have high thoughts, altum quiddam et sublime spirare (Sen., Ep., 16, 23).
The highest bidder, plurimo licens: to sell anything to the highest bidder, ad licitationem aliquid deducere (Ulp., Dig. 10, 2, 6): to be publicly sold to the highest bidder, sub hasta venire.
In the highest degree, maxime; multo maxime; quam potest maxime (e.g., maxime fidelis; multo maxime memorabilis; multo maxime or quam potest maxime miserabilis; but never maximopere, which occurs only with the verbs petere, orare).

Quick answer

What is the Latin word for high?
The usual Latin words for “high” are altus, excellō, edō; also efferō, ērigō, arduus. The right choice depends on the sense; see the distinctions below.

Entry from J. E. Riddle & T. K. Arnold, A Copious and Critical English–Latin Lexicon (rev. C. Anthon, New York: Harper, 1864), digitised by Fergus J. P. Walsh, CC BY-SA 4.0; Latin markup adapted by latindictionary.co.