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Archimedean Screws

Published online by Cambridge University Press:  03 November 2016

H. G. ApSimon
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Extract

A helicoid is the surface generated by a curve which is simultane rotated about a fixed axis and translated in the direction of the axis w velocity proportional to the angular velocity of rotation.[1] An Archime Screw [2] is strictly a finite helicoid in which the generating curve is c (and normally circular) ; but screws, helical in shape, for which the gene curve is a simple finite arc can be—and are—used in practice as Archime Screws, and are considerably easier to manufacture than tubular ones.

Type
Research Article
Information
The Mathematical Gazette , Volume 41 , Issue 335 , February 1957 , pp. 38 - 40
Copyright
Copyright © Mathematical Association 1957

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References

1. Weatherburn, C. E., Differential Geometry of Three Dimensions, Vo (1st edition, Cambridge, 1927) p. 65. (The notation used in this note is of this work.)Google Scholar
2. See, for instance, Ball, W. W. R., A Short History of Mathematics, edition, Macmillan, 1908) p. 65, for a brief description of the application Archimedean Screws.Google Scholar