methodical vs to rights

methodical

adj
  • In an organized manner; proceeding with regard to method; systematic. 

  • Arranged with regard to method; disposed in a suitable manner, or in a manner to illustrate a subject, or to facilitate practical observation. 

to rights

prep
  • Into proper order; properly. 

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