This was brought up in the Lee Valley sharpening thread, but I think it deserves a discussion of it’s own.
As stated, the theory of complements holds that to create a flat surface, you need a convex curved plane blade. In order to create a round surface, you need to use a flat blade.
I’ll admiit that I don’t fully understand the premise behind this, but that I do have a convex blade on my tooting plane which I used for roughing out.
If there’s anyone out there who understands the “Theory of Compliments” I’d be interested in learning more about it.
Tom
Replies
If there's anyone out there who understands the "Theory of Compliments" I'd be interested in learning more about it.
Are you married?? LOL
Yes,
And for long enough not to question whether I am the blade or the board.Tom
Tom ,
" You can do it her way now , or later "
Why yes dear , I think that is a wonderful idea .
"Oh, and by the way, you look lovely tonite." Theory of compliments!
Cheers,
Ray
I'm stumped. When I first read this I assumed that it must somehow be derived from the theory of complimentary angles and right triangles. Ex: for a 30 deg angle, the complimentary angle is 60 deg. For the life of me, I can't figure how that relates to the application you mentioned though. If you get this figured out elsewhere, let us know what you found.
I love the smell of sawdust in the morning.
Tom
I do not get a flat surface with my scrub plane. I get a plowed trough!!
_________________________________
Michael in San Jose
"In all affairs it's a healthy thing now and then to hang a question mark on the things you have long taken for granted." Bertrand Russell
http://www.bowyersedge.com/complements.html
Seems reasonable to me..
Gee Will,You're no help at all! Dean Torges website is were I first heard of this theory, so I seem to be chasing my tail here.It seems reasonable as described by Dean, but I was hoping to get an another, corroborative explanation. I thought surely with all of the hand tool experts on this forum, that someone could enlighten me.Tom
I think "complements " is a misnomer.
Actually all you are doing is reducing the effective cutting or contact area of the cutting edge.
the body of the tool "rides" the shape of the material and the cutting edge removes small increments of waste.
this improves accuracy by being more forgiving.
the wider contact of a flat blade produces more area that mat or may not be in the desired cut plane.
so you make more ridges and/or gouges, instead of removing them.
eventually your small gouges achieve a "uniformity" and you switch to a finer material removal system.
Not unlike sanding with a finer grit.
Mr T
I can't afford to be affordable anymore
That's the best description of the reason for the radiused blade that I've heard yet. Thanks.Have you heard of this theory before? Or was this simple deductive reasoning on your part? I'm looking for the origins of the theory of compliments as well.Tom
Another way to put it would be that if you let the tool wobble a bit, it makes the cut surface more like what you want, rather than less like it, as would be caused by edges digging in. So it's more forgiving. No, I'd never heard of it either, and wouldn't count on it being broadly applicable. Compliments, on the other hand, are useful in many areas.
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