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"Golden Mean Guage"?
I've been looking for examples of these on internet and so far only
have found one place that makes them(for lots of $). I wondered if there had been anyone in the past who had a similar instrument but have found nothing. What did the Greeks use? I work for a company that makes supplies for people who build reproductions of 16th and 17th century weapons and we are planning on making our own version of a "Golden Mean" divider and I being the guy who does all the work am trying to make something that is more traditional in style than what you'd expect from a tool today. I've been looking into 17th Century fasterners for example. |
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#2
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I was searching for something and ran across your post. If no one else
has posted a reply.... This will be a long post. (F.Y.I.: from magazine Fine Woodworking (Taunton Press)Sept 1987 issue 66 pp 76-81) step one: construct a 30:60 right triangle, base twice as long as the height. for example six inches long base and 3 inches tall. Actual length is not important at this time. This makes one unit = 3 inches 2: using a drafting compass, make an arc centered at the intersection of the height arm and the hypotenuse (the 60 degree angle corner) starting at the intersection of the base and the height arms (that's the right angle corner) and the arc ending on the hypotenuse. (this is actually a lot easier than it sounds.) 3: reset your compass to center at the corner of the hypotenuse and the base (30 degree corner) and the other end of the compass at the mark on the hypotenuse made by the first arc. 4: strike an arc from the hypotenuse to the base. make a mark. 5: You now have the two sides of a golden rectangle along the base of the original triangle: long side = from the 30 degree corner to 2nd arc mark (on the base) short side = 2nd arc mark to the right angle corner. long side = (1.23606...)x(one unit) short side = (0.76393....)x(one unit) ratio short to long = 0.61803..... (these are all irrational number) 6: construct a golden rectangle using your compass and square to layout the sides found above. 7: The golden mean is the diagonal of the rectangle. the angle made by the diagonal and the long side of the rectangle is something like 31.7174... degrees (again irrational number) 8: extend both the long side of the golden rectangle, and the diagonal. Drop a line anywhere (at a right angle) along the extended long side to the diagonal and you will have length of the short side of a golden rectangle. 9: Use a straight stick, piece of metal, or what ever you want to use, and create your own story stick, and your own marks for golden mean, golden rectangle and so on. I hope this is what you were asking about. Graybeard Phil wrote in message ... I've been looking for examples of these on internet and so far only have found one place that makes them(for lots of $). I wondered if there had been anyone in the past who had a similar instrument but have found nothing. What did the Greeks use? I work for a company that makes supplies for people who build reproductions of 16th and 17th century weapons and we are planning on making our own version of a "Golden Mean" divider and I being the guy who does all the work am trying to make something that is more traditional in style than what you'd expect from a tool today. I've been looking into 17th Century fasterners for example. |
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