
05694788
j
2010b.00462
Levrie, P.
Missinne, H.
Reflections on an exponential mirror.
Math. Gaz. 91, No. 520, 5962 (2007).
2007
Cambridge University Press, Cambridge; Mathematical Association (MA), Leicester
EN
G70
analytic geometry
reflections in a curved mirror
Summary: If the sun is reflected in a circular cylinder, the illuminated part of the cylinder's base is bounded by part of a nephroid  the curve obtained by rolling a circle round another circle with twice the radius. This article considers the caustic, the cross sections of reflections in a curved mirror, which has the form of a catenary or hyperbolic cosine.