The author rants against the 'American' scythe, and all things American, which seems to him to represent modern, industrial, evil. The 'European' scythe is traditional, pure, righteous. The reader may become confused to find that, according to this book, the 'European' scythe may have been invented in Turkey, and might be made today in China. Also, the early American scythes were made by Europeans just like in Europe.
The terminology is standard, though it is a little inaccurate. The 'European' scythe is hammer forged from a bar stock. The 'American' is stamped and formed from sheet material. So the scythe the author is so fond of is a hammer forged scythe. Simple as that. Europe really has no claim to it.
Here's the basics to using a scythe:
Adjust it so that you are standing and the blade is just slightly tilted up at the edge.
Cut the grass when it is wet.
Keep the blade close to the ground, actually just riding lightly over the ground.
Swing the blade pointy end first. Don't slash like using a sword, but slice like cutting bread.
Cut only a few inches at a time.