Working with projection views

In mechanical drawings we can use isometric, dimetric, trimetric and cavalier drawing profiles to create an illusion of a three dimensional image. Each default drawing profile is associated with a set of three numbers, which correspond to the x, y, and z axes, respectively. The x-axis is measured in degrees, clockwise from the line AA'. The y-axis is measured in degrees, counterclockwise from the line AA', while the z-axis is always vertical to this line. All these three numbers are the angles of the three axes projected to the view plane (your screen). The line AA' is the horizon. The isometric drawing profile, for example, has measurements of (30,90,30) angles. You can visualize this as a cube where its three edges are the three axes. The main drawing profiles are Isometric (30,90,30); Dimetric1 (37,90,37); Dimetric2 (16,90,37); Dimetric3 (7,90,45); Dimetric4(15,90,15); Trimetric1 (12,90,23); Trimetric2 (5,90,30); Trimetric3 (45,90,7); Trimetric4 (54,90,17).

If your CAD program doesn't have preset the above default drawing profiles you can create them with a simple twist and tilt  of  the view. Usually the CAD programs have orientation functions were you can make and save custom rotated views.

The procedure is simple:
First you choose your front view, then you twist it counterclockwise at an angle fi 1, and after that you tilt it clockwise at an angle fi 2. The angles fi 1 and fi 2 can be calculated from the angles a1 and a3 of the default drawing profile (see formulae bellow). You can notice that the angle a2 doesn't affect the orientation of the view since is always 90 degrees. When you create drawing you can illustrate it with the main views (front, top, and side) and the standard 3-D views.