## Elements of Geometry and TrigonometryReprint of the original, first published in 1869. |

### From inside the book

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**Half**Arcs, ............. - - - - - - - - - - - - - - - 67 Additional Formulas, . . . . . . . . . . . . . . . . . . . . . . . . - - - - - - - - - - .......... 68–70 Method of Computing a Table of Natural Sines, .........Page 34

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Page 35

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Page 77

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Page 78

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### Contents

BOOK IX | 19 |

Limiting value of Circular Functions | 55 |

Area of the Surface of a Prism 120 | 226 |

Spherical Geometry | 235 |

PLAN E TRIG ON O METR | 3 |

Multiplication by Logarithms 11 | 11 |

PLANE TRIGoNoMETRY | 17 |

Use of the Table 2327 | 23 |

Functions of Negative Arcs 6062 | 60 |

Functions of Double and Half Arcs 67 | 67 |

Spherical Trigonometry Defined e 73 | 73 |

Solution of Rightangled Spherical Triangles 8083 | 80 |

Solution of Obliqueangled Triangles 92 104 | 92 |

Mensuration Defined 105 | 105 |

Area of a Trapezoid 112 | 112 |

Area of a Sector e º º e s 118 | 118 |

Solution of Obliqueangled Triangles 8647 | 36 |

Problems of Application 48 | 48 |

Rules for Signs of the Functions 54 | 54 |

Area of the Frustum of a Cone 121 | 122 |

Volume of a Prismoid 128 | 128 |

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### Common terms and phrases

ABCD altitude base called centre chord circle circumference circumscribed coincide common complement cone consequently construct corresponding cosine cotangent cylinder denote described diameter difference distance divided draw drawn edges equal Equation extremity faces feet figure formed Formula four frustum functions given greater half hence homologous included inscribed intersection less logarithm manner mean measured meet multiplied OPERATION opposite parallel parallelogram parallelopipedon pass perpendicular placed plane pole polyedron polygon position principle prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular remaining right angles Scholium segment shown sides similar sine solution sphere spherical triangle square straight line surface taken tangent THEOREM third triangle triangle ABC unit vertex vertices volume whence