metageometryn.

Brit.

/ˌmɛtədʒɪˈɒmᵻtri/,

/ˌmɛtəˈdʒɒmᵻtri/, U.S.

/ˌmɛdəˌdʒiˈɑmətri/

Origin: Formed within English, by derivation. Etymons: meta- prefix, geometry n.

Etymology: < meta- prefix + geometry n., after metageometrical adj.

Mathematics. Now chiefly historical.

1. Non-Euclidean geometry. Also as a count noun.

ΘΚΠ

the world > relative properties > number > geometry > [noun] > branches of

planimetrya1393

conic?a1560

helicosophy1570

stereometry1570

spheric1660

planometry1669

mensuration1704

polygonometry1791

analytical geometry1802

isoperimetry1811

analytic geometry1817

algebraic geometry1821

coordinate geometry1837

non-Euclidean geometry1872

differential geometry1877

pangeometry1878

projective geometry1878

metageometry1890

Riemann geometry1895

variable geometry1957

1890 Mind 15 230 The accumulation of fresh empirical particulars does entail from time to time the emergence of new ideas of philosophic import: take the so-called meta~geometry, or the theory of natural selection, as instances.

1894 Philos. Rev. 3 501 Its difficulty renders it very convenient to treat metageometry as a form of insanity.

1897 B. Russell Ess. Found. Geom. Contents p. vii Metageometry began by rejecting the axiom of parallels.

1931 J. J. Callahan Euclid or Einstein vii. 192 The denial of the postulate of Euclid.., instead of giving us a higher and more universal geometry, a metageometry, merely..is restricted to a simple portion of Euclidean plane geometry.

1958 Philos. & Phenomenol. Res. 19 167 In..geometry cognitive construction can go beyond the three dimensions of perceptual space and can build ‘metageometries’ in which ordinary language as well as ordinary space is left behind.

1975 Amer. Math. Monthly 82 774 History, meta-geometry, and philosophy for the mathematically prepared reader.

2. A hypothetical branch of mathematics, dealing with the nature and methods of geometry.Apparently an isolated use.

ΚΠ

1981 Philos. Sci. 48 573 He [sc. Hobbes] laid down stipulations defining geometry and its method which might provide a significant and workable alternative ‘meta-geometry’.

This entry has been updated (OED Third Edition, December 2001; most recently modified version published online March 2022).

单词	metageometry
释义	metageometryn. Brit. /ˌmɛtədʒɪˈɒmᵻtri/, /ˌmɛtəˈdʒɒmᵻtri/, U.S. /ˌmɛdəˌdʒiˈɑmətri/ Origin: Formed within English, by derivation. Etymons: meta- prefix, geometry n. Etymology: < meta- prefix + geometry n., after metageometrical adj. Mathematics. Now chiefly historical. 1. Non-Euclidean geometry. Also as a count noun. ΘΚΠ the world > relative properties > number > geometry > [noun] > branches of planimetrya1393 conic?a1560 helicosophy1570 stereometry1570 spheric1660 planometry1669 mensuration1704 polygonometry1791 analytical geometry1802 isoperimetry1811 analytic geometry1817 algebraic geometry1821 coordinate geometry1837 non-Euclidean geometry1872 differential geometry1877 pangeometry1878 projective geometry1878 metageometry1890 Riemann geometry1895 variable geometry1957 1890 Mind 15 230 The accumulation of fresh empirical particulars does entail from time to time the emergence of new ideas of philosophic import: take the so-called meta~geometry, or the theory of natural selection, as instances. 1894 Philos. Rev. 3 501 Its difficulty renders it very convenient to treat metageometry as a form of insanity. 1897 B. Russell Ess. Found. Geom. Contents p. vii Metageometry began by rejecting the axiom of parallels. 1931 J. J. Callahan Euclid or Einstein vii. 192 The denial of the postulate of Euclid.., instead of giving us a higher and more universal geometry, a metageometry, merely..is restricted to a simple portion of Euclidean plane geometry. 1958 Philos. & Phenomenol. Res. 19 167 In..geometry cognitive construction can go beyond the three dimensions of perceptual space and can build ‘metageometries’ in which ordinary language as well as ordinary space is left behind. 1975 Amer. Math. Monthly 82 774 History, meta-geometry, and philosophy for the mathematically prepared reader. 2. A hypothetical branch of mathematics, dealing with the nature and methods of geometry.Apparently an isolated use. ΚΠ 1981 Philos. Sci. 48 573 He [sc. Hobbes] laid down stipulations defining geometry and its method which might provide a significant and workable alternative ‘meta-geometry’. This entry has been updated (OED Third Edition, December 2001; most recently modified version published online March 2022). < n.1890
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