3D Graphical Projection

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    plane). It is the projection type of choice for working drawings.

    i. Axonometric projection

    Within parallel projection there is a

    subcategory known as Pictorials . Pictorials

    show an image of an object as viewed from a

    skew direction in order to reveal all three

    directions (axes) of space in one picture.

    Parallel projection pictorial instrument

    drawings are often used to approximate

    graphical perspective projections, but there

    is attendant distortion in the approximation.

    Because pictorial projections inherently have

    this distortion, in the instrument drawing of

    pictorials, great liberties may then be taken

    for economy of effort and best effect. Parallel

    projection pictorials rely on the technique of

    axonometric projection ("to measure along

    axes").

    ii. Isometric projection

    In isometric pictorials, the direction of viewing is such that the three axes of space

    appear equally foreshortened, of which the displayed angles among them and alsothe scale of foreshortening are universally known.

    All isometric drawings are made with the 30-60 triangle, and most of them are done

    in angular "perspective" where the two sides make an angle of 120 degrees with

    each other and 30 degrees with the horizontal. In isometrics all s ides that are parallel

    stay parallel and will not vanish to a vanishing point if prolonged. There are neither

    vanishing points nor foreshortening in isometric drawing. The difference between true

    B. Pictorials

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    perspective and isometric drawing is shown in the diagram 34, where A is the

    perspective of a block and B is the isometric drawing of it. It is also shown clearly in

    Figure 35 where C is the perspective and D the isometric drawing of the same thing.

    The three vertical edges a, b, and c of the block are called isometric axes, and all

    lines parallel to these edges are called isometric lines. Measurements can be madeon the main isometric axis (b) only, for all other lines are inaccurate because they

    are not in true perspective.

    Isometric drawing

    Is made up of a series of parallel vertical lines and parallel 30 degree

    lines

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    It is usually drawn out with the aid of a 30/60 degree set square.

    Isometric is 30 degrees only

    Sometimes Isometric grid paper is used to aid the drawing

    NOTE: THERE ARE NO HORIZONTAL LINES

    iii. Oblique

    projection

    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, obliqueprojectionis 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

    click on Image

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    shape, full-size image of the chosen plane.

    Method of Drawing

    Oblique projection is a method of drawing objects in 3 dimensions. It is

    quite a simple technique compared to isometric or even perspective

    drawing. However, to draw accurately in oblique projection traditional

    drawing equipment is needed

    The technique for drawing a cube in oblique projection is outlined

    below, stage by stage. To draw it correctly in oblique projection three

    main rules must be followed:

    1.Draw the front or side view of the object.

    2.All measurements drawn backwards are half the original

    measurement.

    3.45 degrees is the angle for all lines drawn backwards

    A.Draw the front view. Remember to use a T-square and 45

    degree set square.

    click on Image

    click on Image

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    Posted by Ms.Amal Aljohani at 1:58 AM

    B. Draw 45 degree lines from each corner of the square. The

    distance of any lines drawn back at 45 degrees should be halved. For

    example, a cube may have sides of 100mm but they must be drawn

    50mm in length. This should mean that the cube will look more realistic

    and in proportion

    C.Draw 45 degree lines from each corner of the square. Thedistance of any lines drawn back at 45 degrees should be halved. For

    example, a cube may have sides of 100mm but they must be drawn

    50mm in length. This should mean that the cube will look more realistic

    and in proportion.

    click on Image

    click on Image

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