Tony,
 Yeah, I see now how the button acts as a manual starter. Fluorescent
 lighting is one of those things I've just never bothered to think about -
 so I read the Wiki article on it, and now I've got it down. It's such a
 ubiquitous technology, that I've never had the occasion to need to know
 much about it.. just replace the bulb when it won't light, and if that
 doesn't do it, check the starter.. failing that, replace the ballast or the
 whole dang fixture, if it's one of those workbench cheap-o units.
 Oh - and there is one more component in the Luxo. There's a cap wired in
 parallel with the tube, probably does double-duty as power factor
 correction and saving the starter switch contacts from arc damage when they
 break open and the coil kicks back.
 On Sat, Nov 8, 2014 at 5:08 PM, tony duell <ard at p850ug1.demon.co.uk>
 wrote:
   A few
weeks ago, I had to put a new AC cord on a Luxo magnifier lamp, 
 the
  type with the 20W circular fluorescent tube. I
was really surprised to 
 find
  nothing but an iron-core choke in the base.. no
starter device, nada.. 
 just
  a choke in series with the line cord (and the
lamp) I assume. It +is+ 
 the
  type where you must hold down the power button
for a moment to light 
 it, so
  perhaps that's a (manual?) starting
mechanism. But in any case, I was a
 little puzzled that's all there was to it, so to speak. 
 The normal fluorescent lamp starter is an automatic switch, effectively.
 Often it's a little
 discharge lamp (argon filled, most of the time) with bimetallic strips
 for electrodes. At switch
 on, the starter lamp strikes, the electrodes get hot, bend and touch.
 This energises the filaments
 in the fluorescent tube. Since the starter is shorted out (by the
 electrodes touching), it cools down, the
 electrodes spring apart. The sudden open circuit causes a large back emf
 from the ballast choke, which
 strikes fluorescent tube (the hot filaments in said tube emit electrons,
 making it a lot easier to strike).
 Anyway, if your magnifying lamp is anything like the one I repaired years
 ago, there is a momentary
 contact set on the on button. It's wired in the same way as the automatic
 starter switch in a normal
 fluorescent lamp. When you press and hold the on button, the filaments in
 the fluorescent tube
 warm up. When you release it, you open this circuit, causing the back emf
 from the ballast to
 strike the tube.
 -tony