Can you use a magnifying glass and moonlight to light a fire?
what-if.xkcd.com
what-if.xkcd.com
If you replaced the moon with a moon-diameter flat mirror and pointed it at the earth, it would light up a spot a little bigger than the moon. From the middle of that spot you could look up at the mirror and see something that looked just like the sun slightly farther away than the normal sun. Hot and bright and capable of starting a fire.
Is this a valid reasoning?
If so, then it seems you could always start a fire with reflected sunlight. You could put a small mirror on the moon, point it at a large lens on earth (and keep it pointed at that one spot), and start a fire.
Even a smooth mirrored moon-ball should work. But I'm not sure if a diffuse reflector like the real moon is enough.