## Elements of Geometry and Trigonometry |

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Page 167

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**cylinder**, is said to be inscribed in the cylin- der , or the**cylinder**to be circumscribed about the prism . The edges AF , BG , CH , & c . of the prism , being perpendicular to the plane of the base , are evidently included in the ...Page 169

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**cylinder**is equal to the circumference of its base multiplied by its altitude . Let CA be the radius of the given**cylinder's**base , and H its altitude : the circumference whose radius is CA being rep- resented by circ . CA , we are to ...Page 170

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**cylinder**, and H the altitude . Let the circle whose radius is CA be repre- sented by area CA , it is to be proved that the solidity of the**cylinder**is equal to area CA × H. Inscribe in the circle any regu- lar polygon BDEFGA , and con ...### 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