pseudosphericaladj.

Brit.

/ˌs(j)uːdə(ʊ)ˈsfɛrᵻkl/, U.S.

/ˌsudoʊˈsfɪrək(ə)l/,

/ˌsudoʊˈsfɛrək(ə)l/

Origin: Formed within English, by compounding; modelled on an Italian lexical item. Etymons: pseudo- comb. form, spherical adj.

Etymology: < pseudo- comb. form + spherical adj., after Italian pseudosferico (E. Beltrami 1868, in Giornale di matematiche 6 290).

Mathematics.

Designating or relating to a surface or space whose curvature is everywhere equal and negative.

ΘΚΠ

the world > relative properties > number > geometry > surface > [adjective] > relating to curvature

synclastic1867

pseudospherical1878

1878 Amer. Jrnl. Math. 1 267 It is in this sense that Beltrami's pseudospherical systems have a constant negative curvature.

1883 Encycl. Brit. XV. 664/2 Were space really pseudospherical, then stars would exhibit a real parallax even if they were infinitely distant.

1956 J. R. Newman World of Math. I. iv. 645 If we lived in a spherical or pseudo-spherical space our sensible impressions of the world would dictate the adoption of the non-Euclidian geometries of Riemann or Lobachevsky; nothing in our intuition would require us to adopt a ‘flat-space’ Euclidean system.

1999 Proc. Royal Soc. A. 455 3182 The classical Bäcklund transformation for the construction of pseudo-spherical surfaces is characterized by remarkably simple geometric properties.

This entry has been updated (OED Third Edition, September 2007; most recently modified version published online March 2022).

单词	pseudospherical
释义	pseudosphericaladj. Brit. /ˌs(j)uːdə(ʊ)ˈsfɛrᵻkl/, U.S. /ˌsudoʊˈsfɪrək(ə)l/, /ˌsudoʊˈsfɛrək(ə)l/ Origin: Formed within English, by compounding; modelled on an Italian lexical item. Etymons: pseudo- comb. form, spherical adj. Etymology: < pseudo- comb. form + spherical adj., after Italian pseudosferico (E. Beltrami 1868, in Giornale di matematiche 6 290). Mathematics. Designating or relating to a surface or space whose curvature is everywhere equal and negative. ΘΚΠ the world > relative properties > number > geometry > surface > [adjective] > relating to curvature synclastic1867 pseudospherical1878 1878 Amer. Jrnl. Math. 1 267 It is in this sense that Beltrami's pseudospherical systems have a constant negative curvature. 1883 Encycl. Brit. XV. 664/2 Were space really pseudospherical, then stars would exhibit a real parallax even if they were infinitely distant. 1956 J. R. Newman World of Math. I. iv. 645 If we lived in a spherical or pseudo-spherical space our sensible impressions of the world would dictate the adoption of the non-Euclidian geometries of Riemann or Lobachevsky; nothing in our intuition would require us to adopt a ‘flat-space’ Euclidean system. 1999 Proc. Royal Soc. A. 455 3182 The classical Bäcklund transformation for the construction of pseudo-spherical surfaces is characterized by remarkably simple geometric properties. This entry has been updated (OED Third Edition, September 2007; most recently modified version published online March 2022). < adj.1878
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