I tried it myself, and you're right! It's only the
width of the bevel that changes due to the increased length of the guide arm/stone, not the sharpening angle! Who'd a'thunk it?!?
The 3D factor had me completely buffaloed! Thanks for show me the light!
Stitchawl
If the width of the bevel changes, but the thickness of the blade is the same, then the angle is different.
The stone can rotate on the guide rod to match the edge, I think that is what Frank is saying. As you slide it along the length of the blade, like looking down it as in Twindog's picture, the stone can rotate to match the edge at the same angle, but where it contacts the edge will change. Starting in the vertical position, the edge and stone will be perpendicular and contacting wherever you hold it, let's say in the middle of the stone. As you slide the stone forward, it has to extend out on the guide rod, and also rotate on the rod to keep the same angle. But, the contact patch will change position on the face of the stone. Heck, you could turn the stone to be parallel to the edge and rotate it to where the face of the stone is at the same angle to the base as the edge is. But then, you couldn't sharpen the edge at all. At that point, the stone is pitched the same angle as the edge, but imagine at how low the angle is along the guide rod.
So yes, the stone can match the the edge at the same angle if you don't apply sharpening pressure. But when you apply force to the stone to reprofile, you aren't going to do it perpendicular to the edge, wiggling the stone up and down from the pivot of the rod, you are going to extend and retract it, where you are going to be changing the angle of the edge because you are moving the stone along the hypotenuse - the guide rod, instead of just letting it shift and rotate to follow the original edge angle. The hypotenuse there is different from the one that matches the edge.
You have two angles on two different planes, one perpendicular to the knife edge, and one that runs parallel to the length of the sharpening stone-the angle of the rod. They match when you lay the stone on the edge vertically, they don't when you push it out on the edge. It takes some extension to make them vary noticeably, I always figured people would adjust the position of the knife in the clamp before trying to sharpen at the furthest reach of the the guide rod. Like I said, I haven't seen anyone say they've changed the angle on the straight portion of their edge. I think that most people sharpen shorter blades on clamp systems and move longer blades on the edgepro so it isn't an issue for most.
All Twindog has to do is take a picture from above the box to show the other angle. The isometric shot shows it for the most part. Depending on how you move the stone, you will be sharpening at an angle somewhere between the two images. This is why it isn't an issue for most, I'd say.