Editing 3D projection (section)

===Oblique projection===
{{Main|Oblique projection}}
{{multiple image
| width= 120
| image1= Potting-bench-cabinet-view.png
| caption1= [[Potting bench]] drawn in '''cabinet projection''' with an angle of 45° and a ratio of 2/3
| image2= Militärperspektive.PNG
| caption2= Stone arch drawn in '''military perspective'''
}}
In ''oblique projections'' the parallel projection rays are not perpendicular to the viewing plane as with orthographic projection, but strike the projection plane at an angle other than ninety degrees. In both orthographic and oblique projection, parallel lines in space appear parallel on the projected image. Because of its simplicity, '''oblique projection''' is used exclusively for pictorial purposes rather than for formal, working drawings. In an oblique pictorial ''drawing'', the displayed angles among the axes as well as the foreshortening factors (scale) are arbitrary. The distortion created thereby is usually attenuated by aligning one plane of the imaged object to be parallel with the plane of projection thereby creating a true shape, full-size image of the chosen plane. Special types of oblique projections are:

====Cavalier projection (45°)====
In '''cavalier projection''' (sometimes '''cavalier perspective''' or '''high view point''') a point of the object is represented by three coordinates, ''x'', ''y'' and ''z''. On the drawing, it is represented by only two coordinates, ''x″'' and ''y″''. On the flat drawing, two axes, ''x'' and ''z'' on the figure, are [[perpendicular]] and the length on these axes are drawn with a 1:1 scale; it is thus similar to the [[dimetric projection]]s, although it is not an [[axonometric projection]], as the third axis, here ''y'', is drawn in diagonal, making an arbitrary angle with the ''x″'' axis, usually 30 or 45°. The length of the third axis is not scaled.

====Cabinet projection====
The term '''cabinet projection''' (sometimes '''cabinet perspective''') stems from its use in illustrations by the furniture industry.{{citation needed|date=August 2010}} Like cavalier perspective, one face of the projected object is parallel to the viewing plane, and the third axis is projected as going off in an angle (typically 30° or 45° or arctan(2)&nbsp;=&nbsp;63.4°). Unlike cavalier projection, where the third axis keeps its length, with cabinet projection the length of the receding lines is cut in half.

====Military projection====
A variant of [[oblique projection]] is called ''military projection''. In this case, the horizontal sections are isometrically drawn so that the floor plans are not distorted and the verticals are drawn at an angle. The military projection is given by rotation in the ''xy''-plane and a vertical translation an amount ''z''.<ref>{{cite web |url=http://www.math.utah.edu/~treiberg/Perspect/Perspect.htm |title= The Geometry of Perspective Drawing on the Computer |first1=Andrejs |last1=Treibergs |publisher= University of Utah § Department of Mathematics | access-date=24 April 2015 |url-status=live |archive-url=https://web.archive.org/web/20150430055524/http://www.math.utah.edu/~treiberg/Perspect/Perspect.htm |archive-date= Apr 30, 2015 }}</ref>