What is the meaning of the word "elegance"?

Definitions:

  1. a quality of neatness and ingenious simplicity in the solution of a problem, especially in science or mathematics copy to clipboard noun
    • Everyone admired the simplicity and elegance of the new proof. copy to clipboard
  2. a refined quality of gracefulness and good taste copy to clipboard noun
    • The formal clothing and environment helped give everyone an aura of elegance and gentility. copy to clipboard