# Axonometric Projection

## Axonometric Projection

Parallel projection of three-dimensional space on a plane in order to show the three perpendicular axes of three-dimensional space. The result obtained is a representation in which the three main axes called x, y and z appear. These axes create angles that characterize the type of axonometric projection.

### Properties

Axonometric projections preserve the parallelism of the segments in the original object based on the three directions, and the isometric segments of the same plane parallel to one of the main planes are isometric in the representation by the axonometric projection. Segments that are parallel to different axes have proportional lengths in the representation obtained by axonometric projection.

We distinguish between two classes of axonometric projections:

Orthogonal axonometric projections (or normal)

• Axonometric projections in which the projection directions based on each main axis are perpendicular to the respective projection planes.

Non-orthogonal axonometric projections (or oblique)

• Axonometric projections in which at least one of the projection directions is not perpendicular to the projection plane.

The representation obtained by an axonometric projection of a solid on a plane is called an axonometric perspective of the original figure.

Isometric orthogonal axonometric perspective