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Watt's curve : ウィキペディア英語版
Watt's curve

In mathematics, Watt's curve is a tricircular plane algebraic curve of degree six. It is generated by two circles of radius ''b'' with centers distance 2''a'' apart (taken to be at (±''a'', 0). A line segment of length 2''c'' attaches to a point on each of the circles, and the midpoint of the line segment traces out the Watt curve as the circles rotate. It arose in connection with James Watt's pioneering work on the steam engine.
The equation of the curve can be given in polar coordinates as
:r^2=b^2-\left()^2.
==Derivation==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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