How to build an axonometry

How to build an axonometry

The axonometrical projection is very important in such sciences as drawing and geometry. It is very evident three-dimensional image of a subject. And how to build an axonometry?

Instruction

1. Let you be faced by a task to execute creation of an axonometrical projection of the set rotation body. First of all it is necessary to correlate this body to any rectangular system of coordinates. As the rotation body is given, in this case for convenience of the account one of axes of a system of coordinates needs to be combined with a rotation body axis.

2. Now it is necessary to draw the second orthogonal projection of a body, as shown in the drawing.

3. Then it is necessary to pass to creation of axonometrical axes. Consider that them it is necessary to have so on a leaf that visibility was provided to the most part of a surface of a subject. To simplify a problem of construction it will be best of all to take the coordinate axis used in a rectangular isometric projection, represented in the drawing. Thanks to such choice, distortion coefficients on each of axes become equal to unit. If to do standard axonometrical axes in which the next axes form a corner in 120 degrees then coefficient of distortion it will become equal to 0.82. It will create additional difficulties at the image of a subject.

4. All elements of the set figure it is necessary to project in the ratio one to one along axonometrical axes. In order that the image was more evident, in the closest quarter of a detail the cut, with the subsequent shading becomes. Lines of shading by rules put in parallel any of diagonals of the conditional square lying in the considered coordinate plane. The parties of this square have to be parallel to axonometrical axes. In one detail the different sections need to be shaded with an inclination in different directions.

Author: «MirrorInfo» Dream Team


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