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词汇 tractrix
释义

Definition of tractrix in English:

tractrix

nounPlural tractrices ˈtraktrɪksˈtræktrɪks
Geometry
  • 1A curve whose tangents all intercept the x-axis at the same distance from the point of contact, being the involute of a catenary.

    〔几何〕曳物线,等切面曲线

    Example sentencesExamples
    • Among the properties of the tractrix are the fact that the length of a tangent from its point of contact to an asymptote is constant.
    1. 1.1 One of a class of curves similarly traced by one end of a rigid rod, whose other end moves along a fixed line or curve.
      曳物线
      Example sentencesExamples
      • The concrete realisation uses the pseudosphere, a surface generated by the revolution of a tractrix about its asymptote.
      • The tractrix is sometimes called a tractory or equitangential curve.
      • The model was obtained on the surface of revolution of a tractrix about its asymptote.

Origin

Early 18th century: modern Latin, feminine of late Latin tractor 'that which pulls' (see tractor).

Definition of tractrix in US English:

tractrix

nounˈtraktriksˈtræktrɪks
Geometry
  • 1A curve whose tangents all intercept the x-axis at the same distance from the point of contact, being the involute of a catenary.

    〔几何〕曳物线,等切面曲线

    Example sentencesExamples
    • Among the properties of the tractrix are the fact that the length of a tangent from its point of contact to an asymptote is constant.
    1. 1.1 One of a class of curves similarly traced by one end of a rigid rod, whose other end moves along a fixed line or curve.
      曳物线
      Example sentencesExamples
      • The concrete realisation uses the pseudosphere, a surface generated by the revolution of a tractrix about its asymptote.
      • The tractrix is sometimes called a tractory or equitangential curve.
      • The model was obtained on the surface of revolution of a tractrix about its asymptote.

Origin

Early 18th century: modern Latin, feminine of late Latin tractor ‘that which pulls’ (see tractor).

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