A flashlight - How to do perspective projection?

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I don't see where more polygons should help with that problem that a perspective projection should check the perspective to project :)

But I am sure there must be a more intelligent way to solve this issue.
You mentioned that stencils don't work for this purpose.
But there are still z Buffers and Acum Buffers to missuse although I don't think that the later one is an option in DX7