When there is lean to the side of the fall, it is important to take the hinge through the widest part of the stump, and not shorten either side. For the hinge will always invoke a pad of compressed fiber as prescribed by the lean, under the lean. The farther from this pivot that the whole tree sits on (bearing weight, so compressed area of hinge fiber), the rest of the fiber stretches to hold the tree on the pivot of compressed fiber can get, the more leverage against the offending lean the hinge can grant.
So taking the hinge through the widest part of the tree, then not shortening it from either side will give most leveraged aid to fight lean. So, once taking the hinge at the widest point, then would not cutting in from either side.
Not allowing hinge material as far out towards lean as possible, also gives slightly more lean than tree had, for it had a closer pivot (of fibers compressed under it's weight) to the pull of the C.o.B. than the hinge is now allowed. Shortening either side, lessens the amount of leverage to fight the lean, once the pressures take their pivoting fiber share, and leave ya the rest to work with.
So taking the hinge through the widest part of the tree, then not shortening it from either side will give most leveraged aid to fight lean. So, once taking the hinge at the widest point, then would not cutting in from either side.
Not allowing hinge material as far out towards lean as possible, also gives slightly more lean than tree had, for it had a closer pivot (of fibers compressed under it's weight) to the pull of the C.o.B. than the hinge is now allowed. Shortening either side, lessens the amount of leverage to fight the lean, once the pressures take their pivoting fiber share, and leave ya the rest to work with.