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Is this called "conjugate rotational axis"?

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Pinpress
Pinpress 2014-3-5
Hi,
I have a left-right symmetric object rotating about an axis. Now if I choose a different rotational axis, the object will rotate in such a way that it generates responses symmetric to the previous rotational axis (relative to the "mid-sagittal" plane). How are these two rotational axes called? Is this a "conjugate rotational axis"?
thanks very much.

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