How can house corner be supported when there's a deep cellar next to it?
Option 1: Post


Shore up the corner temporarily by any means
Remove metal sheets and rods at corner
Dig out corner enough to be able to dig out a footing at the celler floor level
Pour footing in corner at cellar level
Install post
Reinstall metal sheets and rods and backfill


Option 2: Wall


Remove metal sheets and rods on side at house
Shore up the side temporarily using multiple post
Dig back entire side of cellar in about 8" down to cellar floor.
Shotcrete a 8" thick foundation wall under entire side.
Reconcile corners where shotcrete meets cellar.