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extrapolate (v.)

"make an approximate calculation by inferring unknown values from trends in the known data," 1862 (in a Harvard observatory account of the comet of 1858), from extra- + ending from interpolate. Said in early references to be a characteristic word of Sir George Airy (1801-1892), English mathematician and astronomer. Related: Extrapolated; extrapolating.

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Definitions of extrapolate from WordNet

extrapolate (v.)
draw from specific cases for more general cases;
Synonyms: generalize / generalise / infer
extrapolate (v.)
estimate the value of;
Synonyms: interpolate
extrapolate (v.)
gain knowledge of (an area not known or experienced) by extrapolating;
From wordnet.princeton.edu