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This article is about technical drawings. See Orthographic projection (geometry) for linear transformations and Orthographic projection (cartography) for maps. For the language concept, see orthography.

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Orthographic projection is a means of representing a three-dimensional object in two dimensions. It uses multiple views of the object, from points of view rotated about the object's center through increments of 90°. Equivalently, the views may be considered to be obtained by rotating the object about its center through increments of 90°.

The views are positioned relative to each other according to either of two schemes: first-angle or third-angle projection. In each, the appearances of views may be thought of as being projected onto planes that form a transparent "box" around the object:

First-angle projection

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In first-angle projection, each view of the object is projected in the direction (sense) of sight of the object, onto the interior walls of the box; that is, each view of the object is drawn on the opposite side of the box:

A two-dimensional representation of the object is then created by "unfolding" the box, to view all of the interior walls:

This produces two plan views and four side views.

Third-angle projection

A two-dimensional representation of the object is then created by unfolding the box, to view all of the exterior walls.

Additional information

First-angle projection is as if the object were sitting ON a surface and, from the "face" (front) view, it is rolled to the right to show the left side or rolled over to the left to show its right side; rolled "up" on its back to show its bottom or rolled down on its face to show its top.

Third-angle projection is often considered to be more intuitive than first-angle projection. It is as if the object were a box to be unfolded, or as if it were BEHIND a glass surface and rolled on the far side of the glass to the left to show its left side or rolled to the right to show the right side; or "up" to show the top or "down" to show the bottom

While Third-Angle projections are prevalent in the USA and Canada, First-Angle projection is more popular in Europe and Asia.

A great deal of confusion has ensued in drafting rooms and engineering departments when drawings are transferred from one convention to another.

Multiviews without rotation

Descriptive geometry customarily relies on obtaining various views by imagining an object to be stationary, and changing the direction of projection (viewing) in order to obtain the desired view.

See Figure one. Using the rotation technique above, note that no orthographic view is available looking perpendicularly at any of the inclined surfaces. Suppose a technician desired such a view to, say, look through a hole to be drilled perpendicularly to the surface. Such a view might be desired for calculating clearances or for dimensioning purposes. To obtain this view without multiple rotations requires the principles of Descriptive Geometry. The steps below describe the use of these principles in a typical example. Third angle projection is used here because it is the predominant choice in the US. (First angle projection is used predominantly in Europe but its use there is decreasing.)

• Fig.1: Pictorial of imaginary object that the technician wishes to image.
• Fig.2: The object is imagined behind a vertical plane of projection. The angled corner of the plane of projection is addressed later.
• Fig.3: Projectors emanate parallel from all points of the object, perpendicular to the plane of projection.
• Fig.4: An image is created thereby.
• Fig.5: A second, horizontal plane of projection is added, perpendicular to the first.
• Fig.6: Projectors emanate parallel from all points of the object perpendicular to the second plane of projection.
• Fig.7: An image is created thereby.
• Fig.8: A third plane of projection is added, perpendicular to the previous two.
• Fig.9: Projectors emanate parallel from all points of the object perpendicular to the third plane of projection.

• Fig.10: An image is created thereby.
• Fig.11: A fourth plane of projection is added parallel to the chosen inclined surface, and per force, perpendicular to the first (Frontal) plane of projection.
• Fig.12: Projectors emanate parallel from all points of the object perpendicularly from the inclined surface, and per force, perpendicular to the fourth (Auxiliary) plane of projection.
• Fig.13: An image is created thereby.
• Fig.14-16: The various planes of projection are unfolded to be planar with the Frontal plane of projection.
• Fig.17: The final appearance of an orthographic multiview projection and which includes an Auxiliary View showing the true shape of an inclined surface.

Pictorials

See also

• Orthographic projection (cartography)
• Graphical projection
• Isometric projection
• First angle projection

Descriptive geometry | Infographics

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