单词 | pangeometry |
释义 | pangeometryn. 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’. DerivativesΘΚΠ 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. 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). < n.1878 |
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