degree vs notch

degree

noun
  • A stage of rank or privilege; social standing. 

  • The curvature of a circular arc, expressed as the angle subtended by a fixed length of arc or chord. 

  • A ‘step’ in genealogical descent. 

  • A unit of measurement of latitude and longitude which together identify a location on the Earth's surface. 

  • The dimensionality of a field extension. 

  • Any of the three stages (positive, comparative, superlative) in the comparison of an adjective or an adverb. 

  • The sum of the exponents of a term; the order of a polynomial. 

  • A stage of proficiency or qualification in a course of study, now especially an award bestowed by a university or, in some countries, a college, as a certification of academic achievement. (In the United States, can include secondary schools.) 

  • The number of logical connectives in a formula. 

  • A unit of measurement of temperature on any of several scales, such as Celsius or Fahrenheit. 

  • The amount that an entity possesses a certain property; relative intensity, extent. 

  • The number of edges that a vertex takes part in; a valency. 

  • A step on a set of stairs; the rung of a ladder. 

  • A unit of measurement of angle equal to ¹⁄₃₆₀ of a circle's circumference. 

  • An individual step, or stage, in any process or scale of values. 

notch

noun
  • A level or degree. 

  • An indentation. 

  • A mountain pass; a defile. 

  • A discontinuous change in a taxation schedule. 

  • Woman. 

  • Such a cut, used for keeping a record. 

  • A portion of a mobile phone that overlaps the edge of the screen, used to house camera, sensors etc. while maximizing screen space. 

verb
  • To cut a notch in (something). 

  • To achieve (something); to add to one's score or record of successes. 

  • To join by means of notches. 

  • To record (a score or similar) by making notches on something. 

  • To fit (an arrow) to a bow by means of the notch cut at the end of the arrow; to nock. 

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