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Journal for Geometry and Graphics 18 (2014), No. 1, 073--079
Copyright Heldermann Verlag 2014

Geometric Constructions for Geometric Optics Using a Straightedge Only

Victor Oxman
Western Galilee College, P. O. B. 2125, Acre 24121, Israel

Moshe Stupel
Shaanan College, P. O. B. 906, Haifa 26109, Israel

Avi Sigler
Technical College for Aviation Professions, Haifa, Israel

Geometric constructions occupy an important part in Euclidean geometry. An interesting branch of geometric constructions is construction with restrictions imposed on the drawing tools. In the following, five surprising construction tasks are presented, which are carried out using a straightedge only. All the tasks have to do with paths of light rays incident upon reflective planes (mirrors). We present the geometric theorems on which the constructions are based; some of them are given with a proof.

Keywords: Geometric constructions, straightedge only, light rays, incidence, reflection.

MSC: 51M15

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