## Paractical Geometry Based on the Various Geometry Books by Godfrey and Siddons |

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I think that this book is a good book, though I have not finished but it has really helped in sharpening my geometry, especially in construction. I can recommend it for construction.

### Contents

ANGLES PARALLELS | 1 |

TRIANGLES | 9 |

RULER AND COMPASS CONSTRUCTIONS | 18 |

SYMMETRY | 30 |

AREA | 42 |

THE THEOREM OF PYTHAGORAS | 55 |

LOCI | 61 |

Miscellaneous Exercises I | 67 |

THE PYRAMID AND CONE | 198 |

INCLINATION OF LINE TO PLANE | 210 |

THE SPHERE | 217 |

THE REGULAR SOLIDS | 225 |

Miscellaneous Exercises III | 232 |

Revision Papers B | 240 |

259 | |

92 | 264 |

Revision Papers | 78 |

THE CIRCLE CHORDS | 86 |

THE CIRCLE TANGENTS | 92 |

REGULAR POLYGONS | 98 |

ARCS CIRCUMFERENCE AREA | 114 |

CONTACT OF CIRCLES COMMON TANGENTS | 121 |

SIMILARITY | 130 |

RATIO AND PROPORTION | 144 |

APPLICATIONS OF SIMILAR TRIANGLES | 152 |

CONTINUOUS CHANGE OF A FIGURE | 165 |

Miscellaneous Exercises II | 177 |

DRAWING AND DEVELOPMENT OF SOLID | 190 |

98 | xiv |

Chapter I | 1 |

PLAYFAIRS AXIOM | 9 |

CONSTRUCTIONS Circumscribed and inscribed circles | 86 |

COR The locus of the vertices of triangles with equal vertical | 93 |

103 | 98 |

114 | 109 |

121 | 116 |

130 | 123 |

144 | 143 |

152 | 152 |

11 | 156 |

### Common terms and phrases

ABCD altitude base bisector bisects Calculate called centre chord circle circular circumference common cone constant construct contained corners corresponding cylinder Data described diagonals diameter distance divided Draw drawn edge equal equivalent externally faces feet figure Find fixed point four Geometry Give given ground height Hence horizontal inches inscribed internally intersect isosceles length line joining locus mark mean measured meet method mid-point miles moves NOTE opposite sides pair parallel parallelogram pass perpendicular placed plane polygon position produced Proof proportional Prove pyramid quadrilateral radii radius ratio rectangle regular represents respectively right angles scale segment Show sides similar solid sphere square straight line subtends surface taken tangent THEOREM touch triangle ABC vertex vertical volume wall