Spring (Mathematics)
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry, a spring is a surface in the shape of a coiled tube, generated by sweeping a circle about the path of a helix. Note that the previous definition uses a vertical circular cross section. This is not entirely accurate as the tube becomes increasingly distorted as the Torsion increases (ratio of the speed P , and the incline of the tube). An alternative would be to have a circular cross section in the plane perpendicular to the helix curve. This would be clos...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry, a spring is a surface in the shape of a coiled tube, generated by sweeping a circle about the path of a helix. Note that the previous definition uses a vertical circular cross section. This is not entirely accurate as the tube becomes increasingly distorted as the Torsion increases (ratio of the speed P , and the incline of the tube). An alternative would be to have a circular cross section in the plane perpendicular to the helix curve. This would be closer to the shape of a physical spring. The mathematics would be much more complicated. The torus can be viewed as a a special case of the spring obtained when the helix degenerates to a circle. In mathematics, a spiral is a curve which emanates from a central point, getting progressively farther away as it revolves around the point. A "spiral" and a "helix" are both technically spirals even though they each represent a different object.
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