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单词 reciprocal spiral
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reciprocal spiral
reciprocal spiral n. Mathematics a spiral in which the length of the radius vector is inversely proportional to the angle through which it is turned.The polar equation of a reciprocal spiral is r = 1/ θ.
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1736 J. Hodgson Doctr. Fluxions iii. i. 246 Let it be required to find the Length of any Part of the reciprocal Spiral ABE.
1886 G. S. Carr Synopsis Elem. Results Math. II. 725 The Hyperbolic or Reciprocal Spiral.
1966 Progress Aerospace Sci. 7 38 The asymptomatic form of the spiral resembles to some extent the reciprocal spiral obtained by a somewhat incomplete argument..for the slender-body approximation.
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