This is not what you asked for, but here it goes anyway:
The problem is there is a square root of 5 in the equation, thus not
rational. Traditionally, only a framing square, drafting compass, and
plum-bob were the measuring tools to make a story stick.
The diagonal of a golden rectangle (golden mean) has a angle of 31.7
degrees. Thus if you can construct, with some accuracy, a line (let's call
it the baseline) with another line at 31.7 degrees (and call it the golden
mean), you could measure off any length on the original line, and drop down
to the diagonal line to find the second dimension. Marking both lengths on
the story stick. You should be OK. (actual angle rounded off:
31.717474411.... but trust me, measuring 31 degrees is hard, not to mention
The following is to construct the baseline and golden mean, is long and
1) construct a temporary right triangle such that the base is twice the
length of the height. Accuracy of 90 degree angle is critical.
--other angles should be about 26.565 and 63.43 degrees. The legs are one
unit and two units, while the hypotenuse is square root of 5 units.
2) construct an arc centered on the apex of the 63.4 degree angle, from the
right angle to the hypotenuse (this arc is one unit long)
3) Now construct an arc centered on the apex of the 26.5 degree angle,
starting at the previous intersection on the hypotenuse and arc it down to
the base of the temp triangle. The radius of this second arc is (square
root of 5) - 1.
4) You now have the two sides of one golden rectangle, the baseline of the
temp triangle, and the length from the apex of the smaller angle to the mark
on the base line. (2 units and ((square root of 5)-1 units) (do the math
ratio Phi (capital phi) and phi (lower case).)
5) Use the two dimensions, to construct a golden rectangle, making sure the
angles are accurate 90.00 degrees.
6) construct the diagonal mean.
7) extend one the long sides of the constructed rectangle, and extend the
8) mark on story stick the two lengths you will be using.
I doubt I could make a golden triangle from what I just wrote if I had not
done it several times before. Good luck.
I hope this helps, but it is so confusing, it may not.