Estimate
late Middle English: from Latin aestimat- ‘determined, appraised’, from the verb aestimare . The noun originally meant ‘intellectual ability, comprehension’ (only in late Middle English), later ‘valuing, a valuation’ (compare with estimation). The verb originally meant ‘to think well or badly of someone or something’ (late 15th century), later ‘regard as being, consider to be’ (compare with esteem).
wiktionary
Borrowed from Latin aestimatus, past participle of aestimō, older form aestumo(“to value, rate, esteem”); from Old Latin *ais-temos(“one who cuts copper”), meaning one in the Roman Republic who mints money. See also the doublet esteem, as well as aim.
etymonline
estimate (n.)
1560s, "valuation," from Latin aestimatus "determine the value of," figuratively "to value, esteem," verbal noun from aestimare (see esteem (v.)). Earlier in sense "power of the mind" (mid-15c.). Meaning "approximate judgment" is from 1580s. As a builder's statement of projected costs, from 1796.
estimate (v.)
1530s, "appraise the worth of," from Latin aestimatus, past participle of aestimare "to value, appraise" (see esteem (v.)). Meaning "form an approximate notion" is from 1660s. Related: Estimated; estimates; estimating.
