I want to know on what depends the projected picture size. I thought that by placing the screen further from the lens, you would get a bigger picture. Is this true? or is there anything that affects the final size?
Your assumption is essentially correct. With most projectors as you pull it back from the screen the image increases in size(also requires a re-focus). Some projectors have zoom-lenses, which allow you to adjust the image size optically without changing the location of the projector.
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