Theca \The"ca\, n.; pl. {Thecae}. [L., fr. Gr. ? a case to put anything in. See {Tick} a cover.] 1. A sheath; a case; as, the theca, or cell, of an anther; the theca, or spore case, of a fungus; the theca of the spinal cord. [1913 Webster] 2. (Zool.) (a) The chitinous cup which protects the hydranths of certain hydroids. (b) The more or less cuplike calicle of a coral. (c) The wall forming a calicle of a coral. [1913 Webster]