## Elements of Geometry and Trigonometry |

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**opposite**to the greater an- gle ; and conversely , the greater angle is**opposite**to the greater side . First , Let the angle C be greater than the angle B ; then will the side AB ,**opposite**C , be greater than AC ,**opposite**B. For ...Page 32

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**opposite**the an- gle ADB , is equal to the side DC ,**opposite**the equal angle DBC ; and the third sides AD , BC , are equal : hence the op- posite sides of a parallelogram are equal . Again , since the triangles are equal , it follows ...Page 149

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**opposite**parallelograms ABFE , DCGH , are equal and parallel . Cor . 1. Since the parallelopipedon is a solid bounded by six planes , whereof those lying**opposite**to each other are equal and parallel , it follows that any face and the ...### 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