Grammar question: toru -> tori
This is probably a simple question for the large group of people with better Japanese than me, but I just can't figure it out: The 取り (tori) in 片手取り (katate tori) etc. comes from 取る (toru; grab, catch), right? Is this a verb form my books fail to mention or an abbreviation?
I did notice that there are quite a few compounds such as 取り上げる (toriageru; to pick up) that also use 取り seemingly from 取る -- is this the same usage pattern?