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Posted to rec.woodworking
Andy Dingley
 
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Default Geometry help needed

On Mon, 10 Apr 2006 03:16:56 GMT, "Gooey TARBALLS"
wrote:

Perhaps you would care to post your solution here?


In ASCII ? Not really !

My searching seemed to indicate it was a Trig problem.


You can do it either way. For a general solution to any angle, then trig
would be the way to go - especially with cheap calculators. However
90°. 60° and 30° are easy constructions with just dividers and they're
worth knowing.

Draw a circle. With your dividers set on the same radius, step out this
distance repeatedly around the circumference of the circle. It fits
exactly 6 times, meaning that the radii to each of these points make
angles of 60°.

To get from 60° to 30°, then you can either bisect it or you can
subtract 60° from 90° (you'll often already have a right angle laid out
for some other purpose).

To bisect the angle, use the dividers as before and mark out a point at
approximately two radii from the centre, at the intersection of arcs
drawn from two of the circumferential points you marked earlier. A
radius drawn out to this point bisects the circumferential points, at an
angle of 30°