Old English efenlice "evenly, equally;" see even (adj.) + -ly (2). Meaning "so as to produce uniformity of texture is early 15c.; that of "without surface irregularities, smoothly" is from 1630s.
a class evenly divided between girls and boys
evection
Evelyn
even
even-handed
evening
evenly
evenness
evensong
event
eventful
eventide