# Parallel Projection

## Parallel Projection

Geometric transformation in geometric space characterized by a projection direction and a target figure.

The target figure can be a line, a plane, a sphere, etc.

• parallel projection on a line in a plane
Transformation in a plane determined by two intersecting lines d (line on which the figures are projected) and d1 (which determines the projection direction) that apply all points P of the plane on a point P‘ so that P‘ is the point of intersection of d with the parallel to d1 that passes through P. • Parallel projections on a line in a plane preserve the order of the points on the segments. If p is a parallel projection of the plane on a line d according to a direction d1, then no matter what the points A and B of the plane are so that the line AB intersects with d1,if A<B, then p(A) < p(B).
• Parallel projection on a plane in space
Transformation in space determined by a plane p (plane on which the figures are projected) and d (line that determines the projection direction) that applies all points P of the plane on a point P‘ so that P‘ is the point if intersection of p with the parallel to d that passes through P. 