## Elements of Geometry and Trigonometry |

### From inside the book

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Page 106

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**distance**AD from it , equal to the side of the A TB C given square C ; from the point E , where the parallel cuts the circumference , draw EF perpendicular to the diameter ; AF and FB will be the sides of the rectangle required . For ...Page 162

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**distance**above the common plane of the bases ; and therefore the section fgh will be to the section abcde as the base FGH is to the base ABD ( Prop . III . ) , and since the bases are equivalent , the sections will be so likewise ...Page 250

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**distance**AC = 1201.744 yards . 3. To find the**distance**between two inaccessiblo objects B and C , we determine AB and AC as in the last example ; we shall , at the same time , have the included angle BAC = BAD— DAC . Suppose AB has been ...### 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