## Elements of Geometry and Trigonometry |

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Page 33

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**quadrilateral**ABCD is a parallelogram . PROPOSITION XXX . THEOREM . If two opposite sides of a**quadrilateral**are equal and parallel , the remaining sides will also be equal and parallel , and the figure will be a parallelogram . Let ...Page 110

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**quadrilateral**OPBA , they will coincide ; for the side OP is common ; B E the angle OPC = OPB , each being a right ...**quadrilaterals**will entirely coincide . The distance OD is therefore equal to AO ; and consequently the circle which ...Page 115

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**quadrilateral**PBfa , so that PB shall fall on PB . Then , since the angle dPB is equal to the angle BPa , each being ...**quadrilaterals**will coincide , and the point g will fall at f ; hence , Bg = Bf , dg = af , and the angle dgB = Bfa ...### 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