| 1. | He made sure he wore T-shirts and underwear in proper rotation.
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| 2. | In addition to preserving length, proper rotations must also preserve orientation.
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| 3. | The matrices corresponding to proper rotations ( without reflection ) have determinant + 1.
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| 4. | Matrices of all proper rotations form the special orthogonal group.
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| 5. | But by insisting on determinant + 1, we can restrict the matrices to proper rotations.
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| 6. | By convention, the axis of proper rotation of greatest order is defined as the principal axis.
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| 7. | Proper rotation to get true flight of ball.
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| 8. | For proper rotations, this is the axis of rotation and the points are fixed by the rotation.
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| 9. | The discussion so far only relates to proper rotations, i . e . rotations about an axis.
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| 10. | Each of these groups has a subgroup of transformations which preserve proper rotations and pure translations ).
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