## Geometry Professionalized for Teachers |

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### Contents

Introduction | 1 |

The History Function and Problems of Geometry | 19 |

The Principles of HighSchool Geometry Teaching | 47 |

Copyright | |

5 other sections not shown

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### Common terms and phrases

ABCD analysis analytic method angles are equal angles equal axioms bisector bisects Ceva's Theorem Chapter chord commensurable conclusion congruence deductive definition demonstrative geometry diagonal diameter discover draw drawn Education equal angles equal respectively equal segments equal sides Euclid Euclidean geometry Euler's line exercises false formula given circle given line given point heuristic high-school geometry hypotenuse hypothesis hypothetical constructions illustration inches incommensurable indirect proof induction inscribed intersect isosceles triangle line segment locus Logic Mathematics Teacher Menelaus necessary nine-point circle opposite sides orthocenter parallel lines cut parallelogram pattern perpendicular plane geometry polygon possible postulates principle of continuity prism problems proposition proved quadrilateral radical axis radius ratio reasoning relationships right angle right triangle secant similar triangles square statement straight line student subject-matter sufficient superposition tangent Teachers College teaching geometry Teaching of Mathematics technique three sides tion triangle ABC vertex