Although Hippias' quadratrix cannot truely be constructed in the classical Greek sense of construction - i.e. compass and straightedge - we can classically construct 2^n points on the curve for arbitrarily large n. This construction is giving in the following activity.
It is interesting to note that this construction method to find points on Hippias' quadratrix has nothing to do with the concept of uniform motion in the difinition.
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http://www.geom.umn.edu/~huberty/math5337/groupe/quadconstruct.html Copyright © 1996-1997 Michael D. Huberty, Ko Hayashi & Chia Vang
Created: March 1996 ---- Last Modified: July 6, 1997
Copyright © 1996-1997 Michael D. Huberty, Ko Hayashi & Chia Vang