OK,
I am working on designing something ultra simple so anyone can build it if they have the inclination. Right now, my issue is trying to make exact angle marks. I spent several hours trying to relearn sin,cos,tan last night, and still don't know enough.
I need a formula or something to get the distance of the adjacent side for a known angle and opposite side.
ex: 8*=1"/x"
Do you have a calculator that does trig functions?
If so it is easy.
Tan(angle)=opposite/adjacent
Cos(angle)=adjacent/Hypotenues
Sin(angle)=opposite/Hypotenuse
IN this problem the angle is the angle you sit nearest as you stroke the knife up the stone. The Hypotenues is the side that your stone rests on
The adjacent is the side that rests on the table, and the Opposite side is the one that is vertical (and farthest from you as you sit at the stones).
Clear?
If you go back to my video, I have done the calculations for you assuming that you use a 10 unit side for the base (adjacent). It does not matter what units you use I used inches, but you could substitute centimeters, cubits, yards or miles if so inclined.
Cue up my video:
http://www.youtube.com/watch?v=AXhrqfV5jvs
and start watching at 3:20. The drawing should help.
The little fish looking thing is the greek letter alpha, it represents the angle),
X represents the adjacent side (which in my demo is 10 inches), and
Y represents the opposite side.
You do not need a trig calculator if you just want to use the angles I provided (10, 12.5, 15, and 20)
Tan(10)=0.176
Tan(12.5)=0.222
Tan(15)=0.268
Tan(20)=0.364
Have fun!