## Elements of Geometry and Trigonometry |

### From inside the book

Page 34

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**divided**into M number of units , each equal to A ' : then A = M × A ' : let B be**divided**into N number of equal units , each equal to A ' ; then B - Nx A ' ; M and N being integral numbers . Now the ratio of A to B , will be the same as ...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. E If from the right angle of a right angled triangle , a perpendicu lar be let fall on the hypothenuse ...Page 223

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

Ratios and Proportions | 34 |

The Circle and the Measurement of Angles | 41 |

Problems relating to the First and Third Books | 57 |

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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 logarithm M.
M. Sine 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 slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line Tang tangent THEOREM triangle ABC triangular prism vertex