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The Collaborative International Dictionary
Hyetology

Hyetology \Hy`e*tol"o*gy\, n. [Gr. ? + rain -logy.] The science which treats of the precipitation of rain, snow, etc. -- Hy`e*to*log"ic*al, a.

Wiktionary
hyetology

n. (context rare archaic English) the scientific study of precipitation.