## Elements of Geometry and Trigonometry |

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Page 116

... sides be circum- scribed about the circle , we may prove in a similar way , that the figure having the greatest

... sides be circum- scribed about the circle , we may prove in a similar way , that the figure having the greatest

**number of sides**will be the least ; and the same may be shown , whatever be the**number of sides**of the polygons : hence , in ...Page 117

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**number of sides**, is greater than the circle , because the circle makes up but a part of the polygon and for a like reason , the inscribed polygon is less than the circle . But by increasing the**number of sides**of the circumscribed ...Page 296

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**number of sides**of each face , we shall have , from what has already been shown , 360 ° 360 ° BF = BC cos and EB ... No. of Faces . 4 6 8 12 20 Surface . 1.7320508 6.0000000 3.4641016 20.6457288 8.6602540 Solidity . 0.1178513 1.0000000 ...### 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