## Elements of Geometry and Trigonometry |

### From inside the book

Page 184

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**segment**be supposed to make a revolution about a diameter exterior to it , required the value of the solid which it describes . Let the**segment**BMD revolve about AC . On the axis , let fall the perpendiculars BE , DF ; from the centre C ...Page 185

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**segment**, EF its altitude , the**segment**being described by the revolu- tion of the circular space BMDFE about the axis FE . The solid described by the**segment**BMD is equal to .BD.EF D ( Prop . XVI . ) ; and the truncated cone de ...Page 293

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**segment**; to this product add the solidity of a sphere whose diameter is equal to the height of the**segment**( Book VIII . Prop . XVII . ) . REMARK . When the**segment**has but one base , the other is to be considered equal to 0 ( Book ...### Contents

BOOK | 7 |

Problems relating to the First and Third Books 57 | 57 |

BOOK IV | 68 |

14 other sections not shown

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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