## Elements of Geometry and Trigonometry |

### From inside the book

Page 52

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**divided**, being each equal to any of the four partial angles into which DČE is**divided**; each of the partial arcs Am , mn , np , & c . , will be equal to each of the partial arcs Dr , xy , & c . ( Prop . XV . ) . Therefore the whole arc ...Page 88

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**divided**into equal parts at the points F , G , H , the parallel DE would also be**divided**into equal parts at the points Ï , K , L. PROPOSITION XXIII . THEOREM . If from the right angle of a right angled triangle , a perpendicu lar be ...Page 223

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**divided**by a very small quantity , is very great , and increases as the divisor diminishes ; hence , the quo- tient of the radius**divided**by zero is greater than any finite quantity . sin COS The tangent being equal to R.- ; and ...### 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