apportion vs mete

apportion

verb
  • Specifically, to do so in a fair and equitable manner; to allocate proportionally. 

  • To divide and distribute portions of a whole. 

mete

verb
  • To dispense, measure (out), allot (especially punishment, reward etc.). 

noun
  • A boundary or other limit; a boundary-marker; mere. 

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