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单词 tractrix
释义
tractrix

Mathematics
  • If a massive particle is placed at (0,1) and pulled on an inelastic unit-length string by someone walking from the origin along the x-axis, then the curve traced out by the particle is called the tractrix. The tractrix can be parameterized as

    x=ttanht,y=sech t,(t0).

    The surface of revolution formed by rotating the tractrix about the x-axis is called the tractoid. It has constant Gaussian curvature –1.


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