## How to Solve it: A New Aspect of Mathematical Method |

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altitude analogy angle Archimedes argument auxiliary element auxiliary problem base bright idea center of gravity conclusion condition connection consider construction definition derive desirable discuss Draw a figure edges equation Euclid's Elements examine example fact Find the diagonal foregoing formerly acquired knowledge formerly solved problem formula frustum given guess hypotenuse hypothesis important indirect proof induction Introduce suitable notation know a related length look mathematical induction mathematical problems means median planes method natural numbers objects obtain original problem pappus parabola parallel parallelepiped parallelogram perimeter plane geometry plausible possible present prob problem to prove problems to find procedure progress proposed problem questions and suggestions rectangular reductio ad absurdum related problem restate result right triangle satisfy sides simpler analogous problem solid geometry solution sort square straight line teacher tetrahedron theorem three medians tion try to think understand the problem vertex vertices wish word