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equally (adv.)[equally 词源字典]: late 14c., "in equal shares," from equal (adj.) + -ly (2). Meaning "impartially" is from 1520s; that of "in an equal manner, uniformly" is from 1660s.[equally etymology, equally origin, 英语词源]
equate (v.): early 15c., "to make similar or the same; to balance or harmonize; distribute (ingredients) uniformly; reduce to evenness or smoothness; to set (a fracture)," from Latin aequatus "level, levelled, even, side-by-side," past participle of aequare "make even or uniform, make equal," from aequus "level, even, equal" (see equal (adj.)). Earliest use in English was of astrological calculation, then "to make equal;" meaning "to regard as equal" is early 19c. Related: Equated; equating.
Olbers' paradox: "if stars are uniformly distributed through the sky, their number should counterbalance their faintness and the night sky should be as bright as the day;" named for German astronomer H.W.M. Olbers (1758-1840), who propounded it in 1826.
uniform (adj.): 1530s, "of one form," from Middle French uniforme (14c.), from Latin uniformis "having only one form or shape," from uni- "one" (see uni-) + forma "form" (see form (n.)). Related: Uniformly.