Chrystal's identity is the algebraic identity
![((b-c)^2+(b+c)^2+2(b^2-c^2))/((b^4-2b^2c^2+c^4)[1/((b-c)^2)+2/(b^2-c^2)+1/((b+c)^2)])=1](/images/equations/ChrystalsIdentity/NumberedEquation1.svg) |
given as an exercise by Chrystal (1886).
Chrystal's Identity
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References
Chrystal, G. Algebra. Edinburgh: Adam and Charles Black, 1886.Dudley, U. "Vive Recreational Mathematics." In Tribute to a Mathemagician (Ed. B. Cipra, E. D. Demaine, M. L. Demaine, and T. Rodgers). Wellesley, MA: A K Peters, pp. 41-47, 2004.Referenced on Wolfram|Alpha
Chrystal's IdentityCite this as:
Weisstein, Eric W. "Chrystal's Identity." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ChrystalsIdentity.html