Spherics: Difference between revisions
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'''Spherics''' (sometimes spelled '''sphaerics''' or '''sphaerica''') is a term used in the [[history of mathematics]] for historical works on [[spherical geometry]],<ref>{{citation |
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{{unref |date=May 2024}} |
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| last = Berggren | first = J. L. |
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| ⚫ | |||
| contribution = Spherics in the Islamic World |
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| doi = 10.1007/978-1-4612-4608-4_6 |
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As used by modern scholars, the term generally refers to a particular approach to solving geometric and [[spherical astronomy|astronomical]] problems by treating spherical geometry as a part of [[solid geometry]] (the geometry of three-dimensional space), and is distinguished from other approaches to solving spherical geometry problems by [[trigonometry]], analemma ([[orthographic projection]]), or [[stereographic projection]]. |
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| isbn = 9781461246084 |
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| pages = 157–188 |
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| publisher = Springer New York |
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| title = Episodes in the Mathematics of Medieval Islam |
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| year = 1986}}</ref><ref>{{citation |
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| last = Berggren | first = J. L. |
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| editor-last = Bowen | editor-first = Alan C. |
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| contribution = The relation of Greek spherics to early Greek astronomy |
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| pages = 227–248 |
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| publisher = Garland |
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| title = Science and Philosophy in Classical Greece |
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| ⚫ | |||
| last1 = Sidoli | first1 = Nathan |
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| last2 = Saito | first2 = Ken |
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| date = August 2009 |
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| doi = 10.1007/s00407-009-0045-2 |
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| issue = 6 |
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| journal = Archive for History of Exact Sciences |
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| pages = 581–609 |
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| title = The role of geometrical construction in Theodosius's ''Spherics'' |
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| volume = 63}}</ref> and another treatise of the same title by [[Menelaus of Alexandria]] ({{circa|100 AD}}).<ref>{{citation |
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| last = Papadopoulos | first = Athanase |
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| contribution = Menelaus' ''Spherics'' in Greek and Arabic Mathematics |
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| doi = 10.1007/978-3-030-19071-2_109-1 |
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| isbn = 9783030190712 |
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| pages = 1–43 |
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| publisher = Springer International Publishing |
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| title = Handbook of the History and Philosophy of Mathematical Practice |
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| year = 2022}}</ref> |
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==References== |
==References== |
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Revision as of 05:55, 15 May 2024
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]
References
- ^ Berggren, J. L. (1986), "Spherics in the Islamic World", Episodes in the Mathematics of Medieval Islam, Springer New York, pp. 157–188, doi:10.1007/978-1-4612-4608-4_6, ISBN 9781461246084
- ^ 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
- ^ 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
- ^ 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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