The Collaborative International Dictionary of English v.0.48:

Gyromancy \Gyr"o*man`cy\ (j[i^]r"[-o]*m[a^]n`s[y^] or
   j[imac]"r[-o]-), n. [Gr. gy^ros ring, circle + -mancy: cf. F.
   gyromancie.]
   A kind of divination performed by drawing a ring or circle,
   and walking in or around it. --Brande & C.
   [1913 Webster]