OK, go ahead and do that, but the analysis can also be done with a knife and a tomato. Around here people call the scything motion a rotational motion. I don't agree with that definition as it does not match the motion of a scythe blade's motion relative to the grass it is cutting. For the guillotine motion, which I consider to be the same as a scything motion, the horizontal blade is moved down in a toe or heel leading North West to South East motion with the blade held horizontal. In other parts of the Wiki the guillotine is when the blade is held in a NW to SE orientation and then is moved straight down.

Regardless of any semantics or mathematical analyses, everyone knows that a tomato is better cut with a slicing motion rather than a straight down motion. Shaving works the same way.

Tomayto
Tomahto