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 , 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.