## Elements of Geometry and Trigonometry |

### From inside the book

Results 1-3 of 14

Page 162

...

...

**frustum**of a triangular pyramid , it will be true of every other . Let FGH - hfg be the**frustum**of a tri- angular pyramid , having parallel bases : through the three points F , g , H , pass the plane FgH ; it will cut off from the ...Page 172

...

...

**frustum**of the cone . The con- vex surface of the**frustum**of the pyramid is equal to half the sum of the perimeters of its bases multiplied by the slant height fh ( Book VII . Prop . IV . Cor . ) . I Let now the number of sides of the ...Page 174

...

...

**frustum**of a cone is equal to the sum of the solidities of three cones whose common altitude is the altitude of the**frustum**, and whose bases are , the upper base of the frus- tum , the lower base of the**frustum**, and a mean ...### Contents

BOOK | 7 |

Problems relating to the First and Third Books 57 | 57 |

BOOK IV | 68 |

14 other sections not shown

### Other editions - View all

### 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