## Elements of Geometry and Trigonometry |

### From inside the book

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Page 102

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**equivalent**to a given polygon . Let ABCDE be the given polygon . Draw first the diagonal CE cutting off the triangle CDE ; through the point D , draw DF parallel to CE , and meet- ing AE produced ; draw CF : the poly- gon ABCDE will be ...Page 103

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**equivalent**square ( Prob . VI . ) ; and thus a square may always be found**equivalent**to a given rectilineal figure , which operation is called squaring the rectilineal figure , or finding the quadrature of it . The problem of the ...Page 162

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**equivalent**base with the pyra- mid S - ABCDE . The two bases may be regarded as situated in the same plane ; in ...**equivalent**, the sections will be so likewise . Hence the pyramids S - abcde , T - fgh are**equivalent**, for their ...### 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