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metageometry

metageˈometry
  [See meta-.]
  The geometry of non-Euclidean space. So metageˈometer, one who studies metageometry. metageoˈmetrical a., pertaining to metageometry. ˌmetageomeˈtrician = metageometer.

1882 Stallo Concepts Mod. Physics 258 ‘Space in general’ (as distinguished from ‘flat space’, in the metageometrical sense). 1897 B. A. W. Russell Found. Geom. Cont. p. vii, Metageometry began by rejecting the axiom of parallels. Ibid. 56 To urge, with the Metageometers, that non-Euclidean systems are logically self-consistent. 1898 Cayley Coll. Math. Papers (Suppl. Vol.) Index, Metageometry. 1903 Science 16 Jan. 106/2 Our metageometricians tried to derive the basic geometrical principles from pure reason but failed.

Oxford English Dictionary

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