Determine the Angle with No Angle Gauges

dusty · Post by **dusty** » Mon May 26, 2014 12:22 pm

I was browsing through some old "Fine Woodworking" magazines the other day and came across an article that I found interesting.

With just the information that can be derived from the attached drawing, can you determine what the angle of a miter gauge would be if the face of the miter gauge was flush against the lower edge of the steel ruler.

[ATTACH]25164[/ATTACH]

dusty · Post by **dusty** » Mon May 26, 2014 12:40 pm

[ATTACH]25165[/ATTACH]

This one may be more useful.

JPG · Post by **JPG** » Mon May 26, 2014 12:43 pm

dusty wrote:I was browsing through some old "Fine Woodworking" magazines the other day and came across an article that I found interesting.

With just the information that can be derived from the attached drawing, can you determine what the angle of a miter gauge would be if the face of the miter gauge was flush against the lower edge of the steel ruler.

[ATTACH]25164[/ATTACH]

30:)

The 10 25/64 is superflous.(except to insure the top right angle is 90);)

wa2crk · Post by **wa2crk** » Mon May 26, 2014 12:46 pm

Looks like maybe 30 deg?
Bill V

JPG · Post by **JPG** » Mon May 26, 2014 12:51 pm

dusty wrote:[ATTACH]25165[/ATTACH]

This one may be more useful.

22.50800456:D

dusty · Post by **dusty** » Mon May 26, 2014 12:56 pm

[quote="JPG40504"]30:)

The 10 25/64 is superflous.(except to insure the top right angle is 90)]

Yes, mathematically it is superfluous but having that dimension helps during setup.

I enjoy doing exercises like this. It reminds me of how much of my schooling was really useful. This was a valuable lesson that many teachers don't seem to get across very well. I know that if may trig and algebra teacher had used exercises such as these, I would have learned better.

Just think - what would it be like if the math teacher and the shop teacher were one in the same.

dusty · Post by **dusty** » Mon May 26, 2014 12:57 pm

JPG40504 wrote:22.50800456:D

That is a bit closer than my Incra Miter Gauge can confirm but I can easily make those setups using my squares and steel ruler..

BigSky · Post by **BigSky** » Mon May 26, 2014 1:32 pm

You guys could make this a lot easier by simply making the 12" ruler only 10" long. By doing that, the length of the vertical element (side opposite) can be read directly from the sine table.

JPG · Post by **JPG** » Mon May 26, 2014 5:20 pm

BigSky wrote:You guys could make this a lot easier by simply making the 12" ruler only 10" long. By doing that, the length of the vertical element (side opposite) can be read directly from the sine table.

Ah, but the 12" ruler is more commonly found. Also the info Dusty is passing on does not refer to trig tables.

I consider this to be a very useful methodology.

Any other 'magic' dimensions Dusty?

Oh and do not forget to multiply by 10!:D

The rest of us will multiply trig tables by 12.

JPG · Post by **JPG** » Mon May 26, 2014 6:11 pm

[attach]25166[/attach]

.........................

Will add dimensions by 64th later.

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Determine the Angle with No Angle Gauges

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