The one on the left is probably a post hole bar, though the same basic shape has lots of other uses as well, of course. The one on the right, as noted, is usually called a planting bar. Link below is a small writeup and picture of a similar one. While planting is their usual use, I made a couple very similar ones (though a bit smaller) for use in digging leeks (sometimes called ramps, wild garlic, or other regional names) and they work very well. They're strong enough to get through the rocks, roots, fallen branches, and other forest floor debris while being narrow enough to fit between larger rocks and only get the section of leeks you want. Leeks grow in clumps, and are slow to regenerate, so a wise harvester only takes a small proportion of the crop in any one area and leaves the rest for seed, ensuring a good crop year after year.