## Elements of Geometry and Trigonometry |

### From inside the book

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Page 80

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**let fall**from the opposite angle on the base produced . Let ACB be a triangle , C the obtuse angle , and AD perpen- dicular to BC produced ; then will AB2 = AC2 + BC2 + 2BC × CD . A The perpendicular cannot fall within the triangle ...Page 210

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**let fall**the perpendicular CH on the base . Let DG - a , DE = b , and DF - c : put one of the equal sides AB A. F DE H G B = 2 * ; hence AH = x , and CH = √AC2 — AH2 = √4x2 — x2 = √3x2 = x√3 . Now since the area of a triangle is ...Page 296

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**let fall**from the centre of the polyedron on one of its faces , when the faces themselves are known . The following table shows the solidities and surfaces of the regular polyedrons , when the edges are equal to 1 . A TABLE OF THE ...### 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