## a gemoetry for schools |

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### Contents

CHAPTER | 1 |

Chords Angles in segments Cyclic | 8 |

Statement and use of PYTHAGORAS | 43 |

Parallel lines Sum of the angles | 67 |

in alternate segment | 119 |

Common tangents | 149 |

on Chapter II | 155 |

CHAPTER III | 164 |

CHAPTER V | 231 |

INTERSECTING CHORDS IN A CIRCLE | 248 |

on Chapter V | 259 |

Rhombus Centre of gravity of | 286 |

Summary of the Theory of Chap | 296 |

CHAPTER VI | 303 |

on Chapter I 7987 | 311 |

Elementary revision problems 318327 | 318 |

### Common terms and phrases

ABCD acute angles base bisects the angle Calculate called centre chord circle of radius circumference common Construct corners cut the circle describe diagonals diameter difference distance divide Draw a circle Draw a line Draw a triangle drawn ends equal equilateral triangle EXAMPLES exterior angle feet figure Find the angles Find the area fixed four given half height Hence hypotenuse identical inches inscribed intersecting isosceles triangle Join length locus marked Measure meet mid-point miles Note oblong opposite sides parallel parallel lines parallelogram pass perpendicular placed position produced Prove quadrilateral ratio rectangle rhombus right angles right-angled triangle round segments semicircle set squares Shew similar square straight line Suppose Take tangent trapezium triangle ABC verify vertex vertical angle yards