Geometric Constructions for Geometric Optics Using a Straightedge Only
Journal for geometry and graphics, Tome 18 (2014) no. 1, pp. 73-79
Cet article a éte moissonné depuis la source Heldermann Verlag
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.
Classification :
51M15
Mots-clés : Geometric constructions, straightedge only, light rays, incidence, reflection
Mots-clés : Geometric constructions, straightedge only, light rays, incidence, reflection
@article{JGG_2014_18_1_JGG_2014_18_1_a5,
author = {V. Oxman and M. Stupel and A. Sigler },
title = {Geometric {Constructions} for {Geometric} {Optics} {Using} a {Straightedge} {Only}},
journal = {Journal for geometry and graphics},
pages = {73--79},
year = {2014},
volume = {18},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JGG_2014_18_1_JGG_2014_18_1_a5/}
}
TY - JOUR AU - V. Oxman AU - M. Stupel AU - A. Sigler TI - Geometric Constructions for Geometric Optics Using a Straightedge Only JO - Journal for geometry and graphics PY - 2014 SP - 73 EP - 79 VL - 18 IS - 1 UR - http://geodesic.mathdoc.fr/item/JGG_2014_18_1_JGG_2014_18_1_a5/ ID - JGG_2014_18_1_JGG_2014_18_1_a5 ER -
V. Oxman; M. Stupel; A. Sigler . Geometric Constructions for Geometric Optics Using a Straightedge Only. Journal for geometry and graphics, Tome 18 (2014) no. 1, pp. 73-79. http://geodesic.mathdoc.fr/item/JGG_2014_18_1_JGG_2014_18_1_a5/