this guy:
Was in the house bored so I went outside and decided to split some 18" rounds I bucked few months ago with an axe, I must say big respect to those who do it cause aint no way I could do it. I was out of breath by the first 12 swings and the round was still in one piece lol. Log splitter and husky all the way.
And redyute apparently misunderstood the topic of discussion. The OP is not trying to split with a normal axe, he even said he had a 'splitting' axe, maul, wedges, etc. He was asking about bucking with an axe.
If you're not trying to be old school on purpose, and just to save money, I'd be seriously looking at craigslist for a decent used saw or a new cheapie saw. If you already had a good crosscut hand saw or two person saw, etc, then great use it, but if you have to buy one I don't think the difference in price with an inexpensive chainsaw is enough to worry about. Heck if you were close by I'd give you my old Poulan if it were still running (might be, just havent fired it up in 8 years or so).