## Elements of Geometry and Trigonometry |

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Page 68

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**figure**is supposed to stand . 5. The altitude of a triangle is the per- pendicular let fall from the vertex of an ...**figure**, are terms very nearly synonymous . The area designates more particularly the super- ficial content of ...Page 105

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**figure**required , be the side which is homologous to the sides A and B in the given**figures**. The**figure**itself may then be constructed on X , by the last problem . A X B For , the similar**figures**are as the squares of their homolo ...Page 106

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**figure**P , and equivalent to the**figure**Q. P Find M , the side of a square equivalent to the**figure**P , and N , the side of a square equiva- lent to the**figure**Q. Let X be a fourth proportional to the three given lines , M , N , AB ...### 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