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The geometry of the 2-dimensional surface of a sphere;
Definition source: English Wiktionary via Wiktextract
Usage: uncountable, usually
Topics: geometry, mathematics, sciences
Examples
- The basic concepts of Euclidean geometry of the plane are the point and the (straight) line; in spherical geometry, the corresponding concepts are the point and the great circle.
- Due to the way the geometry of a sphere's surface differs from that of the plane, spherical geometry has some features of a non-Euclidean geometry and is sometimes described as being one. Historically, however, spherical geometry was not considered a fully fledged (non-Euclidean) geometry capable of resolving the question of whether the parallel postulate is a logical consequence of the rest of Euclid's axioms of plane geometry.
- 1972, Morris Kline, Mathematical Thought from Ancient to Modern Times: Volume 1, Oxford University Press, 1990, paperback, page 119, Spherical trigonometry presupposes spherical geometry, for example the properties of great circles and spherical triangles, much of which was already known; it had been investigated as soon as astronomy became mathematical, during the time of the later Pythagoreans.
- 2020, Marshall A. Whittlesey, Spherical Geometry and Its Applications, Taylor & Francis (CRC Press), unnumbered page, It has been at least fifty years since spherical geometry and spherical trigonometry have been a regular part of the high school or undergraduate curriculum.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
The geometry of the 2-dimensional surface of a sphere; (countable) a given geometry of the surface of a sphere; a geometry of the surface of a given sphere, regarded as distinct from that of other spheres.
a given geometry of the surface of a sphere; a geometry of the surface of a given sphere, regarded as distinct from that of other spheres.
Definition source: English Wiktionary via Wiktextract
Usage: countable, usually
Topics: geometry, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
(mathematics) the geometry of figures on the surface of a sphere
Definition source: Princeton WordNet 3.0
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Broader terms: geometry
No etymology was provided for this word.
Across languages
Translations
14 source translations are retained for this English entry.
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Catalan:
geometria esfèrica
— branch of geometry
-
French:
géométrie sphérique
— branch of geometry
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Georgian:
სფერული გეომეტრია
(speruli geomeṭria)
— branch of geometry
-
German:
sphärische Geometrie
— branch of geometry
-
German:
Kugelgeometrie
— branch of geometry
-
German:
Geometrie auf der Kugel
— branch of geometry
-
Hungarian:
gömbi geometria
— branch of geometry
-
Italian:
geometria sferica
— branch of geometry
-
Japanese:
球面幾何学
— branch of geometry
-
Polish:
geometria sferyczna
— branch of geometry
-
Portuguese:
geometria esférica
— branch of geometry
-
Romanian:
geometrie sferică
— branch of geometry
-
Spanish:
geometría esférica
— branch of geometry
-
Tagalog:
timbuluging sukgisan
— branch of geometry
