## Elements of Geometry and Trigonometry |

### From inside the book

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Page 18

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**drawn**to the extremities of either side , as BC ; then will OB + OC < BA + AC . Let BO be produced till it meets the ...**draw**CG . The E triangle GAC is equal to DEF , since , by 18 GEOMETRY .Page 81

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**drawn**from the vertex to the middle of the base , twice the square of this line , together with twice the square of half the base , is equivalent to the sum of the squares of the other two sides of the triangle . Let ABC be any triangle ...Page 196

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**drawn**from the vertex A to the middle point D of the base , the two triangles ABD , ACD , will have all the sides of the one respectively equal to the corresponding sides of the other , namely , AD common , BD - DC , and AB = AC : hence ...### 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