## Elements of Geometry and Trigonometry |

### From inside the book

Page 41

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**circumference**of a circle is a curved line , all the points of which are equally distant from a point within ...**circumference**, is called a radius or semidiameter ; every line which , like AB , passes through the centre , and is ...Page 122

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**circumferences**are to each other as their radii or diameters , we shall have the diameter 1 to its**circumference**, as the diameter 2CA is to the**circumference**whose radius is CA , that is , 1 : 2CA : circ . CA , therefore circ . СA = л ...Page 281

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**circumference**of a ' circle when the diameter is given , or the diameter when the**circumference**is given . RULE . - Multiply the diameter by 3.1416 , and the product will be the**circumference**; or , divide the**circumference**by 3.1416 ...### 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