| 1. | A helical skew apeirogon has screw axis symmetry.
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| 2. | In 2-dimensions they repeat as glide reflections, as screw axis in 3-dimensions.
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| 3. | The continuous symmetry groups without a fixed point include those with a screw axis, such as an infinite helix.
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| 4. | A screw axis is associated with each pair of vectors in the algebra of screws, also known as screw theory.
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| 5. | Pl�cker coordinates are used to locate a screw axis in space, and consist of a pair of three-dimensional vectors.
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| 6. | This is Rodrigues formula for the screw axis of a composite displacement defined in terms of the screw axes of the two displacements.
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| 7. | The ring gears time the spinning and orbit of the rollers about the screw axis by engaging gear teeth near the ends of the rollers.
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| 8. | Because each of these displacements has a screw axis, the movement has an associated ruled surface known as a " screw surface ."
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| 9. | In 3D geometry and higher, a screw axis ( or rotary translation ) is a combination of a rotation and a translation along the rotation axis.
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| 10. | Reason : To distinguish the screw axis ( a 3D object; main topic of target article ) and screw displacement ( an operation in 3D space ).
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