1.Definition: displaying effortless beauty and simplicity in movement or execution

"An elegant dancer", "An elegant mathematical solution -- simple and precise"

2.Definition: refined and tasteful in appearance or behavior or style

"Elegant handwriting", "An elegant dark suit", "She was elegant to her fingertips", "Small churches with elegant white spires", "An elegant mathematical solution--simple and precise and lucid"

3.Definition: suggesting taste, ease, and wealth

Related Adjective(s):graceful, refined