projection of point
Let a line be given in a Euclidean plane or space. The (orthogonal) projection of a onto the line is the point of at which the normal line of passing through intersects . One says that has been (orthogonally) projected onto the line .
The projection of a set of points onto the line is defined to be the set of projection points of all points of on .
Especially, the projection of a onto is the line segment determined by the projection points and of and . If the length of is and the angle between the lines (http://planetmath.org/AngleBetweenTwoLines) and is , then the length of its projection is
Remark. As one speaks of the projections onto a line , one can speak in the Euclidean space also of projections onto a plane .
|Title||projection of point|
|Date of creation||2013-03-22 17:09:50|
|Last modified on||2013-03-22 17:09:50|
|Last modified by||pahio (2872)|
|Defines||projection of line segment|