beauty vs ideal

beauty

noun
  • The quality of being (especially visually) attractive, pleasing, fine or good-looking; comeliness. 

  • An excellent or egregious example of something. 

  • Someone who is beautiful. 

  • Something that is particularly good or pleasing. 

  • The excellence or genius of a scheme or decision. 

  • Beauty treatment; cosmetology. 

adj
  • Of high quality, well done. 

intj
  • Cool! 

  • Thanks! 

ideal

noun
  • A perfect standard of beauty, intellect etc., or a standard of excellence to aim at. 

  • A subsemigroup with the property that if any semigroup element outside of it is added to any one of its members, the result must lie outside of it. 

  • A subring closed under multiplication by its containing ring. 

  • A non-empty lower set (of a partially ordered set) which is closed under binary suprema (a.k.a. joins). 

  • A collection of sets, considered small or negligible, such that every subset of each member and the union of any two members are also members of the collection. 

  • A Lie subalgebra (subspace that is closed under the Lie bracket) 𝖍 of a given Lie algebra 𝖌 such that the Lie bracket [𝖌,𝖍] is a subset of 𝖍. 

adj
  • Not actually present, but considered as present when limits at infinity are included. 

  • Optimal; being the best possibility. 

  • Existing only in the mind; conceptual, imaginary. 

  • Pertaining to ideas, or to a given idea. 

  • Perfect, flawless, having no defects. 

  • Teaching or relating to the doctrine of idealism. 

How often have the words beauty and ideal occurred in a corpus of books? (source: Google Ngram Viewer )