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However, spherical geometry was not considered a full-fledged non-Euclidean geometry sufficient to resolve the ancient problem of whether the parallel postulate is a logical consequence of the rest of Euclid's axioms of plane geometry, because it requires another axiom to be modified.
Spherics (sometimes spelled sphaerics or sphaerica) is a term used in the history of mathematics for historical works on spherical geometry, [1] [2] exemplified by the Spherics (Ancient Greek: τὰ σφαιρικά tá sphairiká), a treatise by the Hellenistic mathematician Theodosius (2nd or early 1st century BC), [3] and another treatise of the same title by Menelaus of Alexandria (c. 100 AD).
This article lists the groups by Schoenflies notation, Coxeter notation, [1] orbifold notation, [2] and order. John Conway uses a variation of the Schoenflies notation, based on the groups' quaternion algebraic structure, labeled by one or two upper case letters, and whole number subscripts.
Spherical coordinates (r, θ, φ) as commonly used: (ISO 80000-2:2019): radial distance r (slant distance to origin), polar angle θ (angle with respect to positive polar axis), and azimuthal angle φ (angle of rotation from the initial meridian plane). This is the convention followed in this article.
This page was last edited on 17 September 2019, at 05:43 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may apply.
Mometasone, also known as mometasone furoate, is a steroid (specifically, a glucocorticoid) medication used to treat certain skin conditions, hay fever, and asthma. [ 10 ] [ 11 ] [ 12 ] Specifically it is used to prevent rather than treat asthma attacks. [ 10 ]
In geometry, a spherical sector, [1] also known as a spherical cone, [2] is a portion of a sphere or of a ball defined by a conical boundary with apex at the center of the sphere. It can be described as the union of a spherical cap and the cone formed by the center of the sphere and the base of the cap.
A Lénárt sphere is an educational manipulative and writing surface for exploring spherical geometry, invented by Hungarian István Lénárt as a modern replacement for a spherical blackboard. [1] [2] It can be used for visualizing the geometry of points, great and small circles, triangles, polygons, conics, and other objects on a sphere, and ...