## Elements of Geometry and Trigonometry |

### From inside the book

Page 14

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**gles**ACE , ECD : therefore ACD + DCB is the sum of the three angles ACE , ECD , DCB : but the first of these three angles is a right angle , and the other two make up the right angle ECB ; hence , the sum of the two an-**gles**ACD and DCB ...Page 91

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**gles**, having the angle A equal to D , and the angle B - E . Then , first , by reason of the equal an- G**gles**A and D , according to the last pro- position , we shall have : ABC DEF : : AB.AC : DE.DF. Also , because the triangles are ...Page 141

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**gles**would be equal in all their constituent parts , without , however , admitting of superposition . This sort of equality , which is not absolute , or such as admits of superposition , de- serves to be distinguished by a particular ...### 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