Maybe zak means dissect an arbitrary rectangle into a square, but that's just dissect a rectangle to a square <https://www.google.com/search?client=safari&rls=en&q=dissect+a+rectangle+to+a+square&ie=UTF-8&oe=UTF-8> Or you could do it to right triangles separately in two steps:: gosper.org/A=f(bh).gif (First create some triangle with side √2.) --rwg On 2016-07-30 09:04, James Propp wrote:
If you mean construct-with-compass-and-straightedge, see for instance
http://planetmath.org/compassandstraightedgeconstructionofgeometricmean
Jim Propp
On Saturday, July 30, 2016, Zak Seidov <math-fun@mailman.xmission.com> wrote:
Square-to-Rectangle construction problem is trivial. But what about Rectangle-to-Square construction problem? There are some trivial cases, e.g., if a<b are side lengths such that a*b is a square: (a,b)=(6, 24), (a,b)=(6, 54), etc. But what about general case of any rectangle? zak