Law of cosines (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Law of cosines" in English language version.

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  • Naṣīr al-Dīn al-Ṭūsī (1891). "Ch. 3.2: Sur la manière de calculer les côtés et les angles d'un triangle les uns par les autres". Traité du quadrilatère attribué a Nassiruddinel-Toussy (in French). Translated by Caratheodory, Alexandre Pacha. Typographie et Lithographie Osmanié. p. 69. On donne deux côtés et un angle. [...] Que si l'angle donné est compris entre les deux côtés donnés, comme l'angle A est compris entre les deux côtés AB AC, abaissez de B sur AC la perpendiculaire BE. Vous aurez ainsi le triangle rectangle [BEA] dont nous connaissons le côté AB et l'angle A; on en tirera BE, EA, et l'on retombera ainsi dans un des cas précédents; c. à. d. dans le cas où BE, CE sont connus; on connaîtra dès lors BC et l'angle C, comme nous l'avons expliqué [Given [...] the angle A is included between the two sides AB AC, drop from B to AC the perpendicular BE. You will thus have the right triangle [BEA] of which we know the side AB and the angle A; in that triangle compute BE, EA, and the problem is reduced to one of the preceding cases; that is, to the case where BE, CE are known; we will thus know BC and the angle C, as we have explained.]
  • Pickover, Clifford A. (2009). The Math Book: From Pythagoras to the 57th Dimension. Sterling Publishing Company, Inc. p. 106. ISBN 9781402757969.

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  • Kennedy, E.S.; Muruwwa, Ahmad (1958). "Bīrūnī on the Solar Equation". Journal of Near Eastern Studies. 17 (2): 112–121. JSTOR 542617.
    Johannes de Muris credits an anonymous author for the relevant section of his work De Arte Mesurandi. See Van Brummelen, Glen (2009). The Mathematics of the Heavens and the Earth. Princeton University Press. pp. 240–241.
  • Burton, L. J. (1949). "The Laws of Sines and Cosines". The American Mathematical Monthly. 56 (8): 550–551. JSTOR 2305533.
  • Collins, L; Osler, T (2011). "Law of Cosines Generalised for any Polygon and any Polyhedron". The Mathematical Gazette. 95 (533): 240–243. JSTOR 23248682.

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  • Euclid. Thomas L. Heath (ed.). "Elements". Translated by Thomas L. Heath. Retrieved 24 January 2023.