In solid geometry, a prismatic surface is a polyhedral surface generated by all the lines that are parallel to a given line and that intersect a polygonal chain in a plane that is not parallel to the given line.[1] The polygonal chain is the directrix of the surface; the parallel lines are its generators (or elements). If the directrix is a convex polygon, then the surface is a closed prismatic surface. The part of a closed prismatic surface between two parallel copies of the directrix is a prism.[2]
- ^ Sykes, Mabel; Comstock, Clarence E. (1922), Solid Geometry, Rand McNally & Company, p. 49
- ^ Slaught, H. E.; Lennes, N. J. (1911), Solid Geometry with Problems and Applications, Allyn & Bacon, p. 34