Path to cut...normally the Iaido! Drawing the sword...then with a single stroke...striking and cutting an opponent (see diagram)!
General terms used to study Katana. We have an attacking thumb drive "fist" called "Boshi ken" in Bujinkan. Now I see why.
katana (long sword--shorter than daisho), wakizashi (short sword), tanto (dagger)
For the sword enthusiasts; #katana
Ritter Steel Odachi Sword again not a fan a katanas but this is pretty dang cool
Changes in shape of the Japanese sword. http://books.google.com/books/about/The_Connoisseur_s_Book_of_Japanese_Sword.html?id=zPyswmGDBFkC