gear case vs gearbox

gear case

noun
  • An enclosure for the bicycle chain and sprocket assemblages commonly employed by utility bicycles. It protects the chain from mud and dirt and may also contain an oil bath to keep the chain lubricated. 

gearbox

noun
  • An enclosed gear train. 

  • That part of a car's transmission containing the train of gears, and to which the gear lever is connected. 

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