In Wikipedia it reads that γ(1+β) = [itex]\sqrt{\frac{1+β}{1-β}}[/itex], however, if I did my homework correctly I get γ(1+β) = [itex]\sqrt{\frac{1+β^{2}}{1-β^{2}}}[/itex]. Digging more deeply into why Wikipedia is listing it as such I found that it is based on the hyperbolic angles:γ=coshΘ. But it leads to definitions, not an explanation. More interestingly, WikiPedia is equating γ(1-β) with [itex]\sqrt{\frac{1-β}{1+β}}[/itex]. However, my calculations lead to(adsbygoogle = window.adsbygoogle || []).push({});

γ(1-β) =γ-γβ=[itex]\sqrt{\frac{1}{1-β^{2}}}-\sqrt{\frac{β^{2}}{1-β^{2}}}=\sqrt{\frac{1-β^{2}}{1-β^{2}}}[/itex],

which is equal to unity. I guess I am doing something utterly wrong and it feels like as if I have to start over learning calculus. I truly hope someone is setting me straight,

thanks,

Alfred

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# Gamma plus or minus gamma-beta, two different outcomes?

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