The main reason a tight or rusted screw can't be removed is that the screwdriver slips out of the slot instead of turning the screw. That is why goatwhiskers is correct about using a drill press. Holding down the chuck while working it back and forth by hand keeps the screwdriver blade in the slot and with rare exceptions will remove the most stubborn screws (unless they are already stripped to the point of having no bearing surface).
The same technique can be used with pecussion nipples, with the nipple wrench chucked in the drill press.
Jim
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