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单词 Watt's Curve
释义

Watt's Curve

A curve named after James Watt (1736-1819), the Scottish engineer who developed the steam engine (MacTutor Archive).The curve is produced by a Linkage of rods connecting two wheels of equal diameter. Let the two wheelshave Radius and let their centers be located a distance apart. Further suppose that a rod of length is fixed at each end to the Circumference of the two wheels. Let be the Midpoint of the rod. Then Watt'scurve is the Locus of .


The Polar equation of Watt's curve is


If , then is a Circle of Radius with a figure of eight inside it.


References

Lockwood, E. H. A Book of Curves. Cambridge, England: Cambridge University Press, p. 162, 1967.

MacTutor History of Mathematics Archive. ``Watt's Curve.''http://www-groups.dcs.st-and.ac.uk/~history/Curves/Watts.html.


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更新时间:2025/2/22 16:47:56