## Elements of Geometry and Trigonometry |

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Page 110

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**centre**being O , and OP the perpendicular let fall from it , to the middle point of BC : draw AO and H OD . If the quadrilateral OPCD be placed upon the quadrilateral OPBA , they will coincide ; for the side OP is common ; B E the angle ...Page 168

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**centre**. The sphere may be con- ceived to be generated by the revolution of a semicircle DAE about its diameter DE ...**centre**to any point of the surface ; the diameter or axis is a line passing through this**centre**, and terminated on ...Page 175

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**centre**is O. Cor 1. If the section passes through the**centre**of the sphere , its radius will be the radius of the sphere ; hence all great circles are equal . Cor . 2. Two great circles always bisect each other ; for their common ...### Contents

BOOK | 7 |

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

BOOK IV | 68 |

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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