## Elements of Geometry and Trigonometry |

### From inside the book

Page 168

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**sphere**; any circular sector , as DCF or FCH , describes a F solid , which is named a**spherical**sector . D E 10. The radius of a**sphere**is a straight line drawn from the centre to any point of the surface ; the diameter or axis is a ...Page 182

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**sphere**, and the semi - polygon a solid which has for its measure 2012 × EA ( Prop . XIII . ) ; and this will be ...**sphere**: hence the solidity of the**sphere**is equal to OA2 × EA , or by substituting 20A for EA , it becomes 4.OAX ...Page 293

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**sphere**, and the product will be the surface ( Book VIII . Prop . X. Sch . 1 ) . 1. The diameter of a**sphere**being 42 inches , what is the convex surface of a zone whose altitude is 9 inches ? Ans . 1187.5248 sq . in . 2. If the ...### Contents

BOOK | 7 |

Problems relating to the First and Third Books 57 | 57 |

BOOK IV | 68 |

14 other sections not shown

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### Common terms and phrases

adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone consequently convex surface cosine Cotang cylinder diagonal diameter dicular distance divided draw drawn equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line TABLE OF LOGARITHMIC tang tangent THEOREM triangle ABC triangular prism vertex