## Elements of Geometry and Trigonometry |

### From inside the book

Page 9

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

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

... , AC , CB , form one and the same

... , AC , CB , form one and the same

**straight line**. PROPOSITION IV . THEOREM . When two**straight lines**intersect each other , the opposite or vertical angles , which they form , are equal . Þ Let AB and DE be two straight A lines , BOOK I.Page 127

...

...

**straight line**in different ways to that surface , 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

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

### Other editions - View all

### 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