extrapolation vs projection

extrapolation

noun
  • An inference about some hypothetical situation based on known facts. 

  • A calculation of an estimate of the value of some function outside the range of known values. 

  • The diametric opposite of interpolation. 

projection

noun
  • A forecast or prognosis obtained by extrapolation 

  • The action of projecting or throwing or propelling something. 

  • An idempotent linear transformation which maps vectors from a vector space onto a subspace. 

  • Any of several systems of intersecting lines that allow the curved surface of the earth to be represented on a flat surface. The set of mathematics used to calculate coordinate positions. 

  • The display of an image by devices such as movie projector, video projector, overhead projector or slide projector. 

  • A belief or assumption that others have similar thoughts and experiences to one's own. This includes making accusations that would more fittingly apply to the accuser. 

  • The image that a translucent object casts onto another object. 

  • Something which projects, protrudes, juts out, sticks out, or stands out. 

  • An image of an object on a surface of fewer dimensions. 

  • A transformation which extracts a fragment of a mathematical object. 

  • A morphism from a categorical product to one of its (two) components. 

  • The preservation of the properties of lexical items while generating the phrase structure of a sentence. See Projection principle. 

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