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2. Normal (geometry) - Wikipedia

   en.wikipedia.org/wiki/Normal_(geometry)

   For a plane given by the general form plane equation + + + =, the vector = (,,) is a normal. For a plane whose equation is given in parametric form (,) = + +, where is a point on the plane and , are non-parallel vectors pointing along the plane, a normal to the plane is a vector normal to both and , which can be found as the cross product =.

3. Hesse normal form - Wikipedia

   en.wikipedia.org/wiki/Hesse_normal_form

   Distance from the origin O to the line E calculated with the Hesse normal form. Normal vector in red, line in green, point O shown in blue. In analytic geometry, the Hesse normal form (named after Otto Hesse) is an equation used to describe a line in the Euclidean plane, a plane in Euclidean space, or a hyperplane in higher dimensions.

4. File:Dcvnormal.png - Wikipedia

   en.wikipedia.org/wiki/File:Dcvnormal.png

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5. Normal plane (geometry) - Wikipedia

   en.wikipedia.org/wiki/Normal_plane_(geometry)

   The normal section of a surface at a particular point is the curve produced by the intersection of that surface with a normal plane. [1] [2] [3] The curvature of the normal section is called the normal curvature. If the surface is bow or cylinder shaped, the maximum and the minimum of these curvatures are the principal curvatures.

6. Plane (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Plane_(mathematics)

   In mathematics, a plane is a two-dimensional space or flat surface that extends indefinitely. A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space. When working exclusively in two-dimensional Euclidean space, the definite article is used, so the Euclidean plane refers to the ...

7. Euclidean planes in three-dimensional space - Wikipedia

   en.wikipedia.org/wiki/Euclidean_planes_in_three...

   Plane equation in normal form. In Euclidean geometry, a plane is a flat two-dimensional surface that extends indefinitely. Euclidean planes often arise as subspaces of three-dimensional space. A prototypical example is one of a room's walls, infinitely extended and assumed infinitesimal thin.