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The Collaborative International Dictionary
Catoptromancy

Catoptromancy \Ca*top"tro*man`cy\, n. [Gr. ? mirror + -mancy. See Catopter.] (Antiq.) A species of divination, which was performed by letting down a mirror into water, for a sick person to look at his face in it. If his countenance appeared distorted and ghastly, it was an ill omen; if fresh and healthy, it was favorable.

Douglas Harper's Etymology Dictionary
catoptromancy

"divination by means of a mirror," 1610s, from Latinized comb. form of Greek katoptron "mirror" (see catoptric) + -mancy.

Wiktionary
catoptromancy

n. divination by use of mirrors, or other reflective surfaces. Similar to crystallomancy, dubjed, enoptromancy and scrying.

Wikipedia
Catoptromancy

Catoptromancy (Gk. κάτοπτρον, katoptron, "mirror," and μαντεία, manteia, "divination"), also known as captromancy or enoptromancy, is divination using a mirror.

Pausanias, an ancient Greek traveler, described as follows:

In Ancient Rome, the priests who used catoptromancy were called specularii.