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Spherics information


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).[4]

  1. ^ Berggren, J. L. (1986), "Spherics in the Islamic world", Episodes in the Mathematics of Medieval Islam, New York: Springer, pp. 157–188, doi:10.1007/978-1-4612-4608-4_6, ISBN 9781461246084
  2. ^ Berggren, J. L. (1991), "The relation of Greek spherics to early Greek astronomy", in Bowen, Alan C. (ed.), Science and Philosophy in Classical Greece, Garland, pp. 227–248
  3. ^ Sidoli, Nathan; Saito, Ken (August 2009), "The role of geometrical construction in Theodosius's Spherics", Archive for History of Exact Sciences, 63 (6): 581–609, doi:10.1007/s00407-009-0045-2
  4. ^ Papadopoulos, Athanase (2022), "Menelaus' Spherics in Greek and Arabic mathematics", Handbook of the History and Philosophy of Mathematical Practice, Springer International Publishing, pp. 1–43, doi:10.1007/978-3-030-19071-2_109-1, ISBN 9783030190712

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Spherics

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Spherics", Archive for History of Exact Sciences, 63 (6): 581–609, doi:10.1007/s00407-009-0045-2 Papadopoulos, Athanase (2022), "Menelaus' Spherics in...

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Spheric

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Look up spherical in Wiktionary, the free dictionary. Spheric may refer to: An alternate word for spherical Radio atmospheric, a lightning-generated electromagnetic...

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Spherical coordinate system

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Spherical harmonics

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scientific fields. The table of spherical harmonics contains a list of common spherical harmonics. Since the spherical harmonics form a complete set of...

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Spherical shell

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In geometry, a spherical shell is a generalization of an annulus to three dimensions. It is the region of a ball between two concentric spheres of differing...

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In geometry, a spherical sector, also known as a spherical cone, is a portion of a sphere or of a ball defined by a conical boundary with apex at the...

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Spherical trigonometry is the branch of spherical geometry that deals with the metrical relationships between the sides and angles of spherical triangles...

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Spherical aberration

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In optics, spherical aberration (SA) is a type of aberration found in optical systems that have elements with spherical surfaces. This phenomenon commonly...

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geometry, a spherical segment is the solid defined by cutting a sphere or a ball with a pair of parallel planes. It can be thought of as a spherical cap with...

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and their applications, a spherical basis is the basis used to express spherical tensors.[definition needed] The spherical basis closely relates to the...

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Spherical Earth

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Spherical Earth or Earth's curvature refers to the approximation of the figure of the Earth as a sphere. The earliest documented mention of the concept...

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Spherical geometry or spherics (from Ancient Greek σφαιρικά) is the geometry of the two-dimensional surface of a sphere or the n-dimensional surface of...

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Michel Banabila

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VoizNoiz II: Urban Sound Scapes (Tone Casualties, 2001) Spherics (Tone Casualties, 2001) Spherics II (Boudisque 2003) Phonema (Tapu, 2003) VoizNoiz 3 –...

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Theodosius of Bithynia

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astronomer and mathematician from Bithynia who wrote the Spherics, a treatise about spherical geometry, as well as several other books on mathematics and...

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Spherical bearing

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Del in cylindrical and spherical coordinates

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uses the standard notation ISO 80000-2, which supersedes ISO 31-11, for spherical coordinates (other sources may reverse the definitions of θ and φ): The...

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Spherical circle

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spherical geometry, a spherical circle (often shortened to circle) is the locus of points on a sphere at constant spherical distance (the spherical radius)...

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Hand with Reflecting Sphere

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Hand with Reflecting Sphere, also known as Self-Portrait in Spherical Mirror, is a lithograph by Dutch artist M. C. Escher, first printed in January 1935...

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Sphere

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spades: Spheres Hemisphere Spherical cap Spherical lune Spherical polygon Spherical sector Spherical segment Spherical wedge Spherical zone 3-sphere Affine...

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Spherical code

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In geometry and coding theory, a spherical code with parameters (n,N,t) is a set of N points on the unit hypersphere in n dimensions for which the dot...

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Spherical category

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mathematics, a spherical category is a pivotal category (a monoidal category with traces) in which left and right traces coincide. Spherical fusion categories...

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Spherical polyhedron

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In geometry, a spherical polyhedron or spherical tiling is a tiling of the sphere in which the surface is divided or partitioned by great arcs into bounded...

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In physics, a spherical pendulum is a higher dimensional analogue of the pendulum. It consists of a mass m moving without friction on the surface of a...

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Spherical design

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A spherical design, part of combinatorial design theory in mathematics, is a finite set of N points on the d-dimensional unit d-sphere Sd such that the...

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