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metageometry

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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 meta... Oxford English Dictionary
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Jeremiah J. Callahan
A Proof of the Parallel Theory and a Critique of Metageometry claimed to have proved Euclid's fifth "parallel" postulate, by re-ordering the logical structure wikipedia.org
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non-Euclidean
non-Euˈclidean, -ian, a. [non- 3.] Not Euclidean or in accordance with the principles of Euclid. non-Euclidean geometry: a system of geometry involving the study of the consequences which follow from denying (or, in a wider use, merely dispensing with) any of the assumptions on which the Euclidean s... Oxford English Dictionary
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meta-
meta-, prefix (ˈmɛtə) before a vowel normally met- (also before h, the resulting meth- being pronounced (mɛθ)), repr. Gr. µετα-, µετ- (µεθ-), which occurs separately as the prep. µετά with, after; etymologically corresponding to mid prep. In Gr. the prefix is joined chiefly to verbs and verbal deriv... Oxford English Dictionary
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