While buttering my bread at lunch one day I mused that one can not only cut a square pat of butter in half with only a knife, but also if the pat is in the shape of a regular n-gon, n>3. But what if the pat is shaped like an irregular quadrilateral?
Can you bisect the area of an arbitrary quadrilateral with one straight line using only a straightedge and a compass?
(In reply to
re(3): Solution -- You're right; I'm wrong by Bractals)
Very nice! Thank you. Now I can construct the square root of any given length (as long as a unit length is available too).
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Posted by McWorter
on 2005-08-18 01:36:10 |