## Elements of Geometry and Trigonometry |

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Page 9

... line is length without breadth , or thickness . The extremities of a line are called points : a point , there- fore , has neither length , breadth , nor thickness , but position only . 3. A

... line is length without breadth , or thickness . The extremities of a line are called points : a point , there- fore , has neither length , breadth , nor thickness , but position only . 3. A

**straight line**is the shortest distance from ...Page 15

... line CF , making with AC the right angle ACF . Now , since ACD is a

... line CF , making with AC the right angle ACF . Now , since ACD is a

**straight line**, the angle FCD will be a right angle ( Prop . I. Cor . 1. ) ; and since ACE is a**straight line**, the angle FCE will likewise ... straight A lines , BOOK I. 15.Page 127

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...

**straight line**in different ways to that sur- face , and ascertain if it touches the surface throughout its whole extent . PROPOSITION II . THEOREM . Two**straight lines**, which intersect each other , lie in the same plane , and determine ...### Contents

BOOK | 7 |

Problems relating to the First and Third Books 57 | 57 |

BOOK IV | 68 |

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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