law of cosines


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law of cosines

[′lȯ əv ′kō‚sīnz]
(mathematics)
Given a triangle with angles A, B, and C and sides a, b, c opposite these angles respectively: a 2= b 2+ c 2- 2 bc cos A.
References in periodicals archive ?
Recognition of Khurasani science cannot be complete if the achievements of, to name a few, Al-Khwarizmi (inventor of Algebra and the Algorithm), Nasiruddin Tusi (creator of trigonometry and the Tusi couple), Abu Wafa (astronomy and mathematics), Abu Nasri Mansur (mathematics), Abu Mahmud Khojandi (mathematics and astronomy), Abu Zayd Balkhi (the earliest psychologist and geographer) and Masud al-Kashi (discoverer of the Law of Cosines) are not reflected.
Note that [[alpha].sub.1] [member of] ([[alpha].sub.0], [pi]/2): the formal justification of this fact can be based, e.g., on the equality cos [[alpha].sub.1] = cos [[alpha].sub.0] cos([pi]-[[alpha].sub.0]-[[alpha].sub.1]), which directly follows from the spherical law of cosines.
(ii) The law of cosines relates the sides of a triangle with the cosine of an angle in the triangle:
By simplifying the 3 dimension problematic into plan problem (x, y coordinates) and using Pythagoras and Law of cosines to find the position for the first and the second axis.
Calculation of surgically induced astigmatism by law of Cosines K[2.sup.2] = K[1.sup.2]+K[3.sup.2]-2K1K3cosK2
If formula (7) in [18] is satisfied, by law of cosines, we find that any two nodes in the network should move at a same beeline within the time between two successive Hello packets.
By projecting the electric field vectors of the light waves ee, eo, oe, and oo onto the transmission plane of the analyzer according to the law of cosines and taking into consideration the fact that I ~ [E.sup.2], the following equation is formed:
Diagram for the derivation of the law of cosines for plane triangles.
The technology uses simple geometry and the law of cosines to calculate angles created during yoga.
The path on the elliptic side of the double surface can be described with the sphere law of cosines:
Before going into the details of the new design, it may be worthwhile to review a tool from trigonometry, the Law of Cosines. We will use the law later in this article.
To characterize the set S, observe that the Law of Cosines (5) implies that if ([p.sup.t+1], [q.sup.t+1]) is in S, then

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