Oh, I now see that you can’t access the settings menu since the projection isn’t working. This is a very special case, and I don’t know if it even is possible to do this in hardware. I guess it would have to be somehow done with the power button, since no other buttons are available. Also, I’m not entirely convinced that there are enough cases like this to warrant the work needed to implement this functionality in hardware. But this is of course something that the Philips Projection team will have to consider.
I’ll remove the solution, since it doesn’t solve your special case.