lyceum vs middle school

lyceum

noun
  • A school, especially European, at a stage between elementary school and college, a lycée. 

  • A public hall designed for lectures, readings, or concerts. 

  • An association for literary improvement. 

middle school

noun
  • A school which crosses the traditional divide between primary school and secondary school. 

  • An educational level or stage between primary school and secondary school. 

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