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 angle Archimedes argument auxiliary element auxiliary problem base center of gravity chess problem conclusion condition connection consider construction definition derive desirable discuss Draw a figure equation essential Euclid's Elements examine example expressed fact familiar foregoing formerly solved problem formula frustum geometry given guess heuristic reasoning hypothesis important indirect proof induction introduce invention isosceles know a related length letters look MATHEMATICAL INDUCTION mathematical problems means median planes method numbers object obtain octahedron original problem PAPPUS parabola parallel parallelepiped parallelogram perimeter 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 satisfied Separate the various side solid geometry solution sort sphere square step straight line student syllogism teacher tetrahedron theorem tion triangle try to think unknown vertex vertices wish word