## Elements of Geometry and Trigonometry |

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Page 178

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**Scholium**2. When the zone has but one B F H OE base , as the zone described by the arc ABCD , its surface will still be equal to the altitude AE multiplied by the circumference of a great circle ,**Scholium**3. Two zones , taken in the ...Page 182

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**Scholium**1. The solidity of every spherical sector is equal to the zone which forms its base , multiplied by a third of the radius . For , the solid described by any portion of the regular poly- gon , as the isosceles triangle OAB , is ...Page 202

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**Scholium**. The poles P and Q might lie within triangles ABC , DEF : in which case it would be requisite to add the three triangles DQF , FQE , DQE , together , in or- der to make up the triangle DEF ; and in like manner , to add 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