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tangent plane

/ˈtændʒənt pleɪn/

翻译: 在微分几何中,指与曲面在某一点相切且垂直于该点法向量的平面,用于局部逼近曲面。

1 个条目

phrase

/ˈtændʒənt pleɪn/C1formalscientific
  • zh在微分几何中,指与曲面在某一点相切且垂直于该点法向量的平面,用于局部逼近曲面。

A plane that touches a curved surface at a single point and is perpendicular to the normal vector at that point, used in differential geometry and calculus to approximate surfaces locally.

  1. Mathematical surface conceptC2formal

    A plane that touches a curved surface at a single point and is perpendicular to the normal vector at that point.

    zh切平面

    • The tangent plane to a sphere at any point is perpendicular to the radius.
    • In calculus, the tangent plane approximates the surface near the point of contact.
    • The concept of a tangent plane is essential in differential geometry.