## 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 |

80 | 37 |

86 | 43 |

PRACTICAL CONSTRUCTIONS | 48 |

CONTACT OF CIRCLES COMMON TANGENTS | 152 |

THE CIRCLE ANGLE PROPERTIES | 161 |

73 | 171 |

AREA OF CIRCLE | 175 |

Miscellaneous Exercises III | 183 |

SOLIDS OF UNIFORM CROSS | 197 |

THE CONE | 208 |

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

32 | 54 |

SCALE DRAWING III | 55 |

88 | 60 |

CONTINUOUS CHANGE OF A FIGURE | 71 |

The locus of points equidistant from two intersecting straight lines | 76 |

33 | 78 |

SIMILAR FIGURES | 86 |

38 | 95 |

Similar polygons | 97 |

Area of similar figures The ratio of the areas of similar figures is equal to the square of the | 112 |

Miscellaneous Exercises II | 120 |

TAE CIRCLE ARCS | 135 |

THE CIRCLE TANGENTS | 146 |

THE SPHERE | 220 |

THE REGULAR SOLIDS | 226 |

Revision Papers | 234 |

251 | |

Introductory note 1 | 1 |

Playfairs 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 |

SECTION | 47 |

EXTENSION OF PYTHAGORAS THEOREY 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

ABCD altitude axis base bearing bisect bisector Calculate called centre chord circle circumference common congruent construct containing copy corresponding Data describe diagonals diameter distance divided Draw drawn edge equal equidistant equivalent feet figure Find four Geometry Give given given point given straight line ground half height Hence 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 plane polygon position produced Proof prove pyramid quadrilateral radius ratio rectangle regular represents respectively RESULTS right angles scale segment ship Show sides similar sketch square straight line subtends symmetry taken tangent theorem touch triangle ABC turn vertex vertical 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.