Ankerson,
You wrote:
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I really don't think you are understanding exactly what you are doing and why those edges are stronger.
If the edge is stronger in the end then the angle is steeper than the V edge, not the other way around, you can't remove metal and make it stronger, it's just not going to happen in the real world.
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I completely agree with you in your first two paragraphs above. In this regard, I haven't said anything to suggest the opposite. I am however, talking about the efficiency of the convex.
By the way, it's aerodynamics + hydrodynamics and it's a shame that you can't see the analogy. I won't go off topic with it.
You seem to have this idea that convex knives are stronger, though. They are and they aren't. Since the angle can never be the exact same as a v-edge, a convex is either stronger or weaker (thicker or thinner), but never sharper if around the same apex as the v-edge line. The two can never coincide on the same geometry, so the convex is either thicker or thinner at the edge, but never the same. Honestly, where would you measure the angle of a convex as a comparison to a v-edge anyway? At the tip of the edge? A few millimeters behind it? Where..? You can't put a straight line on a curved one and call them the same, so measuring a convex against a comparable v-edge is an approximation at best.
You wrote:
_____________________________
I really don't think you are understanding exactly what you are doing and why those edges are stronger.
If the edge is stronger in the end then the angle is steeper than the V edge, not the other way around, you can't remove metal and make it stronger, it's just not going to happen in the real world.
_____________________________
I completely agree with you in your first two paragraphs above. In this regard, I haven't said anything to suggest the opposite. I am however, talking about the efficiency of the convex.
By the way, it's aerodynamics + hydrodynamics and it's a shame that you can't see the analogy. I won't go off topic with it.
You seem to have this idea that convex knives are stronger, though. They are and they aren't. Since the angle can never be the exact same as a v-edge, a convex is either stronger or weaker (thicker or thinner), but never sharper if around the same apex as the v-edge line. The two can never coincide on the same geometry, so the convex is either thicker or thinner at the edge, but never the same. Honestly, where would you measure the angle of a convex as a comparison to a v-edge anyway? At the tip of the edge? A few millimeters behind it? Where..? You can't put a straight line on a curved one and call them the same, so measuring a convex against a comparable v-edge is an approximation at best.