natural history vs natural science

natural history

noun
  • The study of all natural phenomena: botany, zoology, mineralogy, etc. 

  • A treatise or similar work that summarizes the known facts of either of the above. 

  • The progression of a medical condition in an individual. 

  • The study of all living things, especially their origins, evolution and interrelationships. 

natural science

noun
  • Any science involved in studying phenomena or laws of the physical world: physics, chemistry, biology, astronomy, and so on. 

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