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单词 pangeometry
释义

pangeometryn.

Brit. /ˌpandʒɪˈɒmᵻtri/, /ˌpanˈdʒɒmᵻtri/, U.S. /ˌpændʒiˈɑmətri/
Origin: Formed within English, by compounding. Etymons: pan- comb. form, geometry n.
Etymology: < pan- comb. form + geometry n. Compare French pangéométrie (1855 in the title of a work by N. Lobachevsky, published simultaneously in Russian and French).
Mathematics. Now historical.
N. Lobachevsky's term for: non-Euclidean geometry.
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
1878 Mind 12 552 Pangeometry branches out into different alternatives, of which Euclidean geometry is but one.
1893 Academy 21 Oct. 345/3 Sometimes called pan-geometry, sometimes the geometry of hyper-space, and sometimes non-Euclidian geometry.
1967 Jrnl. Marriage & Family 29 591/2 The same ‘decentralization’ occurs as when one passes from euclidean geometry to pan-geometry.
1991 D. Wells Penguin Dict. Curious & Interesting Geom. 110 Hence hyperbolic geometry includes Euclidean geometry as a special case. Lobachevsky realised this, and called his new geometry ‘pangeometry’.

Derivatives

pangeometer n. Obsolete an expert in or student of non-Euclidean geometry.
ΘΚΠ
the world > relative properties > number > geometry > [noun] > branches of > one who studies
geometrera1382
geometerc1450
geometrician?c1475
stereometer1608
stereometrian1608
pangeometer1882
metageometer1896
metageometrician1903
1882 J. B. Stallo Concepts Mod. Physics (1883) 214 The pangeometers erect a transcendental structure on empirical foundations.
1896 Mind 5 5 The axiom of Congruence is the most fundamental of all the axioms of Geometry, and..the Pangeometers have generally held that it is derived entirely from experience of rigid bodies.
pangeometrical adj. Obsolete
ΘΚΠ
the world > relative properties > number > geometry > [adjective] > branches of
stereometrical1656
Apollonian1704
Euclidean1714
isoperimetrical1743
stereotomical1828
stereotomic1860
stereometric1862
graphic1865
parabolic1872
metageometrical1882
pangeometrical1882
Riemannian1889
synthetic1889
polygonometric1890
Lobachevskian1896
topological1913
1882 J. B. Stallo Concepts Mod. Physics 208 (note) The connection of Gauss's metageometrical or (to use the expression of Lobatschewski) pangeometrical views with his investigations respecting the geometrical interpretation of imaginary quantities.
This entry has been updated (OED Third Edition, March 2005; most recently modified version published online March 2022).
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n.1878
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