## Practical GeometryCUP Archive, 1860 - 147 pages |

### Contents

MEASUREMENT OF LINES AND ANGLES | 1 |

SCALE DRAWING I not requiring the use of parallels | 13 |

Parallel Straight Lines | 20 |

ANGLES OF A TRIANGLE OF A POLYGON | 30 |

CONSTRUCTION OF TRIANGLES AND POLYGONS | 36 |

PRACTICAL CONSTRUCTIONS | 48 |

SCALE DRAWING III | 55 |

SYMMETRY ABOUT A CENTRE | 67 |

THE CIRCLE ANGLE PROPERTIES | 161 |

AREA OF CIRCLE | 175 |

Miscellaneous Exercises III | 183 |

SOLIDS OF UNIFORM CROSS | 197 |

THE CONE | 208 |

THE SPHERE | 220 |

THE REGULAR SOLIDS | 226 |

Revision Papers B | 234 |

Locr | 73 |

Miscellaneous Exercises I | 80 |

SIMILAR FIGURES | 86 |

Division of straight lines in given ratio | 93 |

the pantograph | 99 |

Area of triangle | 105 |

Area of similar figures | 112 |

Miscellaneous Exercises II | 120 |

THE CIRCLE ARCS | 135 |

THE CIRCLE TANGENTS | 146 |

CONTACT OF CIRCLES COMMON TANGENTS | 152 |

251 | |

Introductory note 1 | 1 |

Playfairs axiom 7 | 7 |

i The opposite angles of a parallelogram are equal | 21 |

Of all the straight lines that can be drawn to | 28 |

Frameworks p 38 Exercises on construction of triangles | 43 |

EXTENSION OF PYTHAGORAS THEOREM In an obtuse | 53 |

The tangent at any point of a circle and the radius | 60 |

If a straight line touch a circle and from the point | 66 |

Congruent triangles | 85 |

### Common terms and phrases

ABCD altitude base bisect bisector Calculate called centre chord circle circular circumference common cone congruent Construction containing corresponding cylinder Data describe diagonals diameter distance divided Draw drawn edge equal equidistant equivalent faces feet figure Find four Geometry Give given given point ground height Hence horizontal inches inscribed intersect isosceles triangle Join length locus mark mean Measure meet method mid-point miles moves NOTE opposite sides pair parallel parallelogram pass perpendicular placed plane polygon position produced Proof prove pyramid quadrilateral radius ratio rectangle regular represents respectively RESULTS right angles scale segment ship Show sides similar solid sphere square straight line subtends surface symmetry taken tangent theorem touch triangle ABC turn vertex vertical volume yards

### Popular passages

Page xii - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.