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C00002 00002 polya[e86,jmc] Notes on Polya's "Mathematical Discovery"
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polya[e86,jmc] Notes on Polya's "Mathematical Discovery"
1. The interesting problem is how to formalize Polya's advice
declaratively and make a program that could read it. The
advice in the first chapter to make the problem into locating
a point and then characterizing the point as being the
intersection of two loci which are either lines or circles.
Aside: While parabolas cannot be constructed with ruler and
compass, perhaps the intersection of a parabola (characterized
by focus and directrix) and line can be constructed in some
easy way.
2. Do Polya's always have answers? Mine don't.