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The Collaborative International Dictionary
Genethlialogy

Genethlialogy \Ge*neth`li*al"o*gy\, n. [Gr. geneqlhalogi`a astrology; gene`qlh birth + lo`gos discourse.] Divination as to the destinies of one newly born; the act or art of casting nativities; astrology.

Wiktionary
genethlialogy

n. divination of the destiny of a newborn; the art of casting nativity; astrology.