How to Solve it: A New Aspect of Mathematical Method |
Contents
IN THE CLASSROOM | 1 |
Understanding the problem | 7 |
Example | 13 |
Copyright | |
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Common terms and phrases
altitude analogy analysis analytic geometry angle Archimedes argument auxiliary element auxiliary problem chess problem conclusion condition connection consider construction definition derive desirable diagonal directrix discuss equation essential Euclid's Elements examine example express fact foregoing formerly solved problem formula frustum geometry given guess heuristic reasoning hypothesis idea important incomplete proofs indirect proof induction introduce invention know a related length less logical look MATHEMATICAL INDUCTION mathematical problems means notation numbers object obtain octahedron original problem PAPPUS parabola parallelepiped parallelogram plane plane geometry plausible possible present prime prob problem to find problem to prove procedure proposed problem questions and suggestions reductio ad absurdum related problem restate result right triangle satisfied Separate the various side solid geometry solution sort sphere square step straight line student symmetry teacher technical terms tetrahedron theorem tion triangle true try to think understand vertex wish word