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If you have a carbide tipped saw blade, you have an excellent tool for sharpening a knife quickly and easily. Just clamp it to a tabletop or lock it on your saw's arbor so it cannot turn.
Step 1Draw the knife edge against a carbide tooth
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Draw the cutting edge of the knife against a front corner on a carbide tooth. You do not need to use a lot of pressure. A few repeated passes will do wonders to a blade. The green lines represent the angle of the tooth face and the angle at which the blade is held. The brown lines represent a vertical line and the angle from the vertical at which the knife is drawn across the corner of the carbide tooth. Draw the knife slowly. Hold the blade with two hands to keep the edge on the relatively small corner of the tooth.
I often look at things microscopically as I did after using one of my blades to test your sharpening methods on a knife. To my amazement, the crisp edge on the carbide had changed. The steel in the knife I sharpened was harder than I initially thought, and rounded the carbide. Microscopically yes, but damage was apparent. The knife blade was also damaged as the sharpening attempt caused chattering creating nicks and lands. While this created somewhat of a sawtooth effect and the knife still cut, it would not "pressure" cut. It had to be used in a sawing action. Most will not understand this and I won't elaborate. For most, lets say it will probably work. It depends entirely what level of "sharpness" one considers workable. Most of the people I know have very dull, very dangerous blades. I am certain my standards are different, and more scientifically driven than the average person.
One day several years ago I was in a hardware store. Someone local was making knife sharpeners and the store was selling them for the maker. They were a piece of steel about 8 cm long. A carbide tooth for a saw blade was brazed onto one end. I thought I could just stroke a knife along the corner of a tooth on a carbide tipped saw blade and save $8. It worked.
This evening my wife asked me about the Instructable she knew I posted today. After I explained it, she had me sharpen her favorite kitchen knives with the saw blade in the photo. It worked very well.