## Elements of Geometry and Trigonometry |

### From inside the book

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Page 34

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**contain**the measuring unit an exact number of times , there may perhaps be a smaller unit which will be**contained**an exact number of times in each of the magnitudes . But if there is no unit of an assignable value , which shall be ...Page 66

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**contained**exactly a certain number of times in the preced- ing one . Then this last remainder will be the common measure of the proposed lines ; and regarding it as unity , we shall easily find the values of the preceding remainders ...Page 107

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**contained**there . For this purpose , let the semicircle DBE be described , from the centre C , with the radius CB . It is evident that CB is**contained**once in AC , with the remainder AD ; the result of the first operation is therefore ...### 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