COMPARATIVE METHODS FOR DETERMINING THE LINE OF INTERSECTION BETWEEN TWO PLANES

Iacob-Liviu SCURTU, Magdalena ORBAN, Nour-Ioan CRIŞAN

Abstract

In geometrical configuration of the parts of machine building, the edge parts can be treated as a line segment, which result from the intersection of two planes.  The objective of this paper is to present two comparative methods for determine the intersection line between two planes. In the first part of this paper is determined the line of intersection between two planes with mathematical approach, and in the second part this problem is solved using descriptive geometry methods. In the mathematical model, each plane is defined by three points with respect to the reference system OXYZ. Using the cross product is determined the general equation of these two planes and the parametric form of the intersection line. In the graphical method, each planes are defined by the projections of three points in front view and top view, also is presented the axonometric representation for a better view of the intersection studied.

Key words:  descriptive geometry, cross product, planes intersection

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References

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