height vs minimum

height

noun
  • The highest point or maximum degree. 

  • The vertical distance from the ground to the highest part of a standing person or animal (withers in the case of a horse). 

  • The distance of something above the ground or some other chosen level. 

  • A quality of vowels, indicating the vertical position of the tongue relative to the roof of the mouth; in practice, the first formant, associated with the height of the tongue. 

  • A mountain, especially a very high one. 

  • The amplitude of a sine function 

  • The distance from the base of something to the top. 

  • A high point. 

  • An area of land at the top of a cliff. 

minimum

noun
  • The lowest limit. 

  • The smallest amount. 

  • He always tries to get away with doing the minimum. 

  • A period of minimum brightness or energy intensity (of a star). 

  • The smallest member of a batch or sample or the lower bound of a probability distribution. 

  • A lower bound of a set which is also an element of that set. 

adj
  • To the lowest degree. 

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