I own, geez, at least 5 hatchets and/or hand axes. I have done cedar shake roofing jobs, split kindling, and then some. In order to split wood, you typically need some cut logs. I don't run across too many of them in the wilderness. more than a few hundred yards and my Stihl 250 isn't being carried in. Neither are my larger axes.
Tiki, I don't have many photos handy, but this is one of my knives, a Becker Brute. I've grown fond of it recently, it's newer, getting ny attention and my other kives are jealous.
http://usera.imagecave.com/skunkwerx/BK1fullrig.jpg
http://usera.imagecave.com/skunkwerx/BK1wMicarta.jpg
I proceeded, as Cliff was explaining, and changed the edge geometry a bit, gave it a good sharpening and it does fine for both slicing and chopping. Oh, and the wide flat spot on the spine can act as a hammer, or a nice place to "baton" the blade into some meaty wood. (oh no I used the baton word! drat!)
Smash a window? ....in a heartbeat.
Behind the sheath is about a 10" section of a bowsaw blade. Only the blade. With holes drilled at both ends. If I really must do some serious sawing, I'll use some paracord, some decent tree limbs and fabricate a bow saw...or more aptly named, a "frame saw". Most camp wood is "harvested" by carrying or dragging, not felling and sawing. I'd typically go to sawing if i was doing some actual woodwork, needing to square-off ends or rip some straight pieces. The only thing I've ever done with green wood is woodwork, or let it dry a season for firewood.
My Machete is a standard Ontario, the milspec style, about 20 years old, maybe more. Easy to sharpen and can chop and slash like no tomorrow.
If I get a chance, I will do a quick show and tell. In the same wood, I will take one swipe with my machete and one chop with my hatchet, I'll make sure both are appropriately sharp for their use. I can tell you the Machete will slice farther into the wood, and continue to throw off bigger chips than my hatchet. When cutting firewood the machete is great for limbing anything under 2 inches. Anything over 2" gets the Stihl treatment.
I do use a hatchet all winter, for a specific purpose. I grab a nice stout log, and place it near my back door. The hatchet stays there all winter by the back door.
I split kindling for the woodstove with it. All winter. Can't beat it for reducing already split Oak into smaller pieces for the beginnings of a nights worth of heat.
Which reminds me, I have logs out in the woods I have to gather and split, it's getting colder here in the Northern hemisphere. I'll be in the woods tomorrow, provided the rain subsides.