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2. 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.

3. 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 =.

4. 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.

5. 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 ...

6. Euclidean planes in three-dimensional space - Wikipedia

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

   The attitude of a lattice plane is the orientation of the line normal to the plane, [12] and is described by the plane's Miller indices. In three-space a family of planes (a series of parallel planes) can be denoted by its Miller indices ( hkl ), [ 13 ] [ 14 ] so the family of planes has an attitude common to all its constituent planes.

7. File:Axial and normal force.png - Wikipedia

   en.wikipedia.org/.../File:Axial_and_normal_force.png

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8. 3D projection - Wikipedia

   en.wikipedia.org/wiki/3D_projection

   If the normal of the viewing plane (the camera direction) is parallel to one of the primary axes (which is the x, y, or z axis), the mathematical transformation is as follows; To project the 3D point , , onto the 2D point , using an orthographic projection parallel to the y axis (where positive y represents forward direction - profile view ...

9. Normal mapping - Wikipedia

   en.wikipedia.org/wiki/Normal_mapping

   A normal pointing to right of the texture (1,0,0) is mapped to (255,128,128). Hence the right edge of an object is usually light red. A normal pointing to top of the texture (0,1,0) is mapped to (128,255,128). Hence the top edge of an object is usually light green. A normal pointing to left of the texture (-1,0,0) is mapped to (0,128,128).