Constructing the Common Perpendicular of Two Skew Lines

Mitko Kunchev
Ruse, Bulgaria

https://doi.org/10.53656/math2023-2-2-con

Abstract. The article presents a method for constructing the common perpendicular of two skew lines in a given polyhedron.The method is based on constructing the intersecting line of two planes that are respectively perpendicular to the two skew lines. The common perpendicular is constructed parallel to this line so that it intersects the skew lines. Examples of constructing the common perpendicular of skew lines in a cube, a right triangular prism, and a regular tetrahedron are considered.
Keywords: common perpendicular; skew lines; polyhedron; constructing

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