Etymology
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base (v.)
1580s, "serve as a foundation for;" 1841, "to place on a foundation," from base (n.). Related: Based; basing.
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base (n.)

"bottom of anything considered as its support, foundation, pedestal," early 14c., from Old French bas "depth" (12c.), from Latin basis "foundation," from Greek basis "a stepping, a step, that on which one steps or stands, pedestal," from bainein "to go, walk, step," from PIE root *gwa- "to go, come."

The military sense "secure ground from which operations proceed" is from 1860. The chemical sense "compound substance which unites with an acid to form a salt" (1810) was introduced in French 1754 by French chemist Guillaume-François Rouelle (1703-1770). Sporting sense of "starting point" is from 1690s, also "destination of a runner" (1812). As a "safe" spot in a tag-like or ball game, suggested from mid-15c. (as the name of the game later called prisoner's base). Hence base-runner (1867), base-hit (1874), etc. Meaning "resources on which something draws for operation" (as in power-base, database, etc.) is by 1959.

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base (adj.)
late 14c., "low, of little height," from Old French bas "low, lowly, mean," from Late Latin bassus "thick, stumpy, low" (used only as a cognomen in classical Latin, humilis being there the usual word for "low in stature or position"), possibly from Oscan, or Celtic, or related to Greek basson, comparative of bathys "deep."

Meaning "low on the social scale" is from late 15c.; that of "low in the moral scale" is first attested 1530s in English. Meaning "benefiting an inferior person or thing, unworthy" is from 1590s. Base metals (c. 1600) were worthless in contrast to noble or precious metals. Related: Basely.
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off-base (adv.)

"unawares," by 1936, American English, from off (adv.) + base (n.); a figurative extension from baseball sense of a runner being "not in the right position" (1882) and vulnerable to being picked off.

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basal (adj.)

"relating to or situated at a base," 1826, from base (n.) + -al (1).

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basic (adj.)
"relating to a base," 1832, originally in chemistry, from base (n.) + -ic.
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basement (n.)
"lowest story of a building, wholly or partly underground," 1730, from base (v.) + -ment.
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baseless (adj.)
"having no foundation or support," c. 1600, from base (n.) + -less. Related: Baselessly; baselessness.
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basset (n.)
type of short-legged dog, 1610s, from French basset, from Old French bas "low" (see base (adj.)) + diminutive suffix.
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baseness (n.)
1550s, "state or condition of being low in rank or scale," from base (adj.) + -ness. From 1590s as "state of being morally vile."
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