spherical geometry


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Related to spherical geometry: spherical trigonometry, Spherical coordinates

spherical geometry

n.
The geometry of circles, angles, and figures on the surface of a sphere.

spherical geometry

n
(Mathematics) the branch of geometry concerned with the properties of figures formed on the surface of a sphere

spher′ical geom′etry


n.
the branch of geometry that deals with figures on spherical surfaces.
[1720–30]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.spherical geometry - (mathematics) the geometry of figures on the surface of a spherespherical geometry - (mathematics) the geometry of figures on the surface of a sphere
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
geometry - the pure mathematics of points and lines and curves and surfaces
References in periodicals archive ?
He is well known for his contributions to spherical trigonometry , a wing of spherical geometry whose calculations are used most prevalently in astronomy, geodesy and navigation.
In [1], the covariant metric tensor exterior to a homogeneous time varying distribution of mass within regions of spherical geometry is defined as:
E as a compilation and reorganization of basic material in spherical geometry and spherical astronomy.
Euclidean plane or spherical geometry ought to be strictly determined in the potential applications.
Further chapters review spherical geometry principles and frameworks, describe six classic subdivision techniques, and discuss the use of computer-aided design for spherical subdivision.
This paper considers recent attempts to establish that the geometry of visual experience is a spherical geometry.
Many teachers approach the teaching of spherical geometry by considering the earth as a near spherical object and well-known geographical locations as points on the sphere.
He wrote some thirty or forty treatises in astronomy, eight of which have been preserved; his research in mathematics covered almost all branches studied at the time including Euclidian number theory, algebra, plane geometry, infinitesimal geometry, spherical geometry, and philosophy of mathematics.
The full spherical geometry, as opposed to tangent plane approximations, is particularly important when considering global streamline patterns generated by a given vorticity distribution.
By the 10th century Islamic mathematicians were using all six trigonometric functions, had tabulated their values, and were applying them to problems in spherical geometry.
Plane elliptic geometry is closely related to spherical geometry, but it differs in that antipodal points on the sphere are identified.
The Exploratorium described Arab discoveries; contributions in astronomy that mapped the solar system and prepared the way for Copernicus, physicians who described the body organs and prepared the way for Harvey, cartographers who mapped the known European, African and Asian world before the voyages of Vasco da Gama, and mathematicians who refined Greek mathematics, introduced spherical geometry, algebra and the Arabic numeral system that included the Indian "zero.

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