## Elements of Geometry and Trigonometry |

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Page 166

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**cone**; the hypothenuse SB describes the convex surface of the**cone**. The point S is named the vertex of the**cone**, SA the axis or the altitude , and SB the side or the apothem . Every section HKFI , at right angles to the axis , is a ...Page 174

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**cone's**base , H its alti- tude ; the solidity of the**cone**will be R2x4H , or πR2Н . PROPOSITION VI . THEOREM The solidity of the frustum of a**cone**is equal to the sum of the solidities of three**cones**whose common altitude is the ...Page 291

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**cone**, whose side is 36 and the diameter of its base 18 feet . Ans . 1272.348 . " PROBLEM XI . To find the surface of the frustum of a**cone**. RULE . - Multiply the side of the frustum by half the sum of the circumferences of the two ...### 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