## Elements of Geometry and Trigonometry |

### From inside the book

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**distance**from each other equal to CA + AD . The circles will evidently have the point A common , and they will have no other ; because , if they had two points common , the**distance**between their centres must be less than the sum of ...Page 187

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**distances**from the point A , the shortest**distance**from B to A will be greater than the shortest**distance**from N to A. PROPOSITION II . THEOREM . The shortest path from one point to another , on the surface of a sphere , is the arc of ...Page 251

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**distance**between them . Ans . 173.656 feet . 5. In order to find the**distance**between two trees , A and B , which could not be directly measured because of a pool which occupied the intermediate space , the**distance**of a third point C ...### Contents

Ratios and Proportions | 34 |

The Circle and the Measurement of Angles | 41 |

Problems relating to the First and Third Books | 57 |

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 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