## How to Solve It: A New Aspect of Mathematical MethodA perennial bestseller by eminent mathematician G. Polya, |

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Draw a rough sketch of a triangle and identify it's three sides and three Angles

### Contents

PART I IN THE CLASSROOM | 1 |

PART II HOW TO SOLVE IT | 33 |

PART III SHORT DICTIONARY OF HEURISTIC | 37 |

PART IV PROBLEMS HINTS SOLUTIONS | 233 |

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### Common terms and phrases

altitude analogous problem analogy analysis angle Archimedes argument auxiliary element auxiliary problem base better center of gravity conclusion condition connection consider construction course definition derive desirable discuss Draw a figure edge equation essential Euclid's Elements examine example fact foregoing formerly solved problem formula frustum given guess heuristic reasoning hypothesis important indirect proof induction introduce invention know a related length look MATHEMATICAL INDUCTION mathematical problems mathematician means median planes method numbers object obtain octahedron original problem PAPPUs parabola parallelepiped parallelogram perimeter plane geometry plausible possible present prime prob problem to find problem to prove procedure progress proposed problem questions and suggestions reader reductio ad absurdum related problem restate result right triangle satisfy side signs simpler analogous solid geometry solution sort sphere square step straight line student syllogism teacher tetrahedron theorem tion try to think vertex vertices wish word