(adsbygoogle = window.adsbygoogle || []).push({}); Can someone explain "Euler" angles?

From what I read, "Euler" rotations are composed out of matrices like

which is pretty distinctive in that they rotate around same axis twice, and makesCode (Text):* * 0 1 0 0 * * 0

* * 0 0 * * * * 0

0 0 1 0 * * 0 0 1

sense for devices like this

http://en.wikipedia.org/wiki/Image:Gimbaleuler.gif

http://en.wikipedia.org/wiki/Image:Gyroscope_operation.gif

another property of that, as I read somewhere, is that you can combine these

matrices in any order, and it kinda makes sense, again, if you look at the device above

(or does it not....?)

On the other hand, there are Tait-Bryan aka Cardan aka coordinate rotations,

which have these matrices like

that are order-dependant.Code (Text):1 0 0 * 0 * * * 0

0 * * 0 1 0 * * 0

0 * * * 0 * 0 0 1

I was starting to think I am getting it right, but this article puts it under "euler"

angles (formulas 43 to 54) - what a hell?

Can someone here please explain precise meaning of "Euler" angles?

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# Can someone explain Euler angles?

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