## Practical Geometry |

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### 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 |

Plane and lino at right angles p 212 Line inclined to plane | 214 |

The Sphere | 220 |

The Regular Solids | 226 |

Loci | 73 |

Miscellaneous Exercises I | 80 |

Similar Figures | 86 |

Area 10JL | 101 |

The Theorem of Pythagoras | 114 |

Miscellaneous Exercises II | 120 |

The Circle Arcs | 135 |

The Circle Tangents | 146 |

Contact of Circles Common Tangents | 152 |

Revision Papers B | 234 |

IndexList of Definitions | 251 |

THEOREMS | 1 |

Play fairs axiom 7 | 7 |

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

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

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 |

### Common terms and phrases

altitude angles are equal base BC bisect Calculate centimetres centre chord circle of radius circumference common tangents concyclic cone Construct a triangle cyclic quadrilateral cylinder diagonals diameter divided Draw a circle draw a straight drawn parallel edge equiangular equidistant equilateral triangle exterior angle feet figure fixed point freehand given circle given line given point given straight line height horizontal hypotenuse inches inscribed intersect isosceles trapezium isosceles triangle ITEx length line drawn line joining locus Measure meet mid-point miles opposite sides paper parallel straight lines parallelogram plane polygon prism produced Proof Prove pyramid quadrilateral ABCD radii ratio rectangle reflex angle regular polygon Repeat Ex rhombus right angles right-angled triangle segment semicircle set square Show similar subtends symmetry tangent tetrahedron theorem trapezium triangle ABC vertex

### 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.