from The Century Dictionary and Cyclopedia
- n. A system of geometry which omits or reverses some one or more of the explicit or implicit postulates of ordinary geometry, such as that space has but three dimensions, that all points of space have like neighboring places, that every pair of unbounded straight lines which are in one plane and do not cut one another at a finite distance cut one another at infinity, etc. See non-Euclidean.
Sorry, no etymologies found.
The term applied to it is "metageometry," and its study has stimulated the development of the geometry of hyperspace, of which the fourth dimension is but a special case.