Old wood plane

That sure is a worn plane sole.
Luckily repair is easy: Flatten sole thorougly, rinse with pure alcohol (your sole looks like rosewood that does not glue well if not cleaned) and glue on a new sole. Would guess that it need it to be at least 15mm thick. The classic timbers are beech, hornbeam – or if super fancy – lignum vitae. Make sure to make the gap between iron and the mouth are super narrow.

Good luck. Let us kow how it ends!

-- "Do or Do not. There is no try." - Yoda

That plane has a whole lifetime of character, it just reeks old world craftsmanship. Whatever you to do please try to keep that character.

It looks like its missing the adjuster as well.

-- http://timetestedtools.net - Collecting is an investment in the past, and the future.