## Elements of Geometry and Trigonometry |

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Page 144

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**perimeter**of the base of the prism multi plied by its altitude . B Cor . If two right prisms have the same altitude , their con- vex surfaces will be to each other as the**perimeters**of their bases PROPOSITION II . THEOREM . In every ...Page 207

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**perimeter**of a figure , is given , it is sometimes best to assume another figure similar to the propo- sed , having one of its sides equal to unity , or some other known quantity . A comparison of the two figures will often give a re ...### 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