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Surface of the conical section is formed by moving the section — conical curve — in space. Thus, in each position of the sections, its plane is perpendicular to the specified guiding object, and the ends of the conical curve rest on the selected guides.
3D curves, sketch lines, and face edges can be used as guides. Each guide may consist of one object or several objects connected in sequence.
The scheme of plotting a conical section surface is shown in the figure.
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Scheme of plotting a conical section surface
A conical curve is inscribed in the section triangle and touches its sides at points lying on the generators. The shape of a conical curve in the section plane is determined by how much it is elongated in the direction of the triangle vertex. More details on conical curves...
Thus, the surface is determined by the section triangle parameters and the shape of the conical curve. These parameters can be constant during the movement of the section or can change according to a given law.
Examples of plotting a conical section surface in various models are presented in the figures.
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Use of conic section surfaces in various models.
Conic section surfaces are highlighted in orange color.
A detailed description of examples can be found in the section Examples of conic section surface plotting.
See Also
