Beach, James W.||Hellmich, Eugene W. (Eugene William), 1902-
M.S. (Master of Science)
Department of Mathematics
Conic sections||Geometry, Plane
In this paper a study was made of special reflection patterns of projectiles in conic sections. It was proved that a projectile will always be reflected through a focus of an ellipse after once passing through a focus. It was also proved that the ultimate path of such a projectile would coincide with the major axis of the ellipse if it were to continue reflecting indefinitely. Similar proofs were presented for the hyperbola. The circle was handled as a special case of the ellipse. Comparable discussions for the parabola can be found in the literature. Special consideration was given for other patterns of reflection in certain conic sections.
Hursh, Ronald Eugene, "Reflecting rays in conic sections" (1963). Graduate Research Theses & Dissertations. 4672.
vi, 35 pages
Northern Illinois University
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