## Elements of Geometry and Trigonometry |

### From inside the book

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**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 their radii . C PROPOSITION XIV . THEOREM . IE If the distance between the centres of two ...Page 66

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**common**measure . Let AB and CD be the given lines . From the greater AB cut off a part equal to the less CD , as many times as possible ; for example , twice , with the remainder BE . From the line CD , cut off a part equal to the ...Page 137

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**common**intersection BP , measures the angle of the two planes AB , MN ( Def . 4. ) ; therefore , since that angle is a right angle , the two planes are perpendicular to each other . B D M Scholium . When three straight lines , such as ...### 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