id: 05694788
dt: j
an: 2010b.00462
au: Levrie, P.; Missinne, H.
ti: Reflections on an exponential mirror.
so: Math. Gaz. 91, No. 520, 59-62 (2007).
py: 2007
pu: Cambridge University Press, Cambridge; Mathematical Association (MA),
Leicester
la: EN
cc: G70
ut: analytic geometry; reflections in a curved mirror
ci:
li:
ab: 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.
rv: