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I cut part of the backcut, then bore into the tree three times, once below the back cut and twice vertically, to remove a "trivial pursuit pie piece". this is where I put the jack, fully compressed. then I cut the face. Then slip the bar back into the backcut from the side (closer to the hinge than the jack) and keep cutting while adding additional lift.
I'd thought about the steel plate on the top of the jack, though I think that as the tree tips, the plate will need to tip with the tree or risk sliding out. The bottle jack head compresses into the top of the backcut a little bit, locking it into place more. If for some reason you really need to jack it up a long way, it may slip as well.
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The steel plate really helps for softer species.
Make a slight angle on the bottom of the hole that you cut for the jack. This helps the jack from slipping as the tree lifts.