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Erase the drawing
Draw a right triangle ABC with perpendicular
sides AB = 1 and BC = 1/2.
Draw an arc, centered at C, with radius
BC, to cut AC at
P and the extension of AC
beyond C at Q.
Draw arcs centered at A with radii
AP and AQ, meeting
AB extended at R and
Then AR = ρ and AT = τ,
so that R divides AB
in the golden ratio, and B divides
AT in the golden ratio.
Why this construction is valid
Last modified on $Date: 2015-04-23 17:26:33 -0400 (Thu, 23 Apr 2015) $
Christopher J. Henrich