## Elements of Geometry and Trigonometry |

### From inside the book

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Page 159

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**pyramid**S - abc will be less than this**pyramid**. Hence the difference , between the sum of all the exterior prisms and the sum of all the interior ones , must be greater than the difference between the two**pyramids**them- selves . Now ...Page 160

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**pyramid**, ABC - DEF a triangular prism of the same base and the same altitude ; the**pyramid**will be equal to a third of the prism . E B F Cut off the**pyramid**F - ABC from the prism , by the plane FAC ; there will remain the solid F ...Page 162

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**pyramid**hav- ing the same altitude and an equivalent base with the pyra- mid S - ABCDE . The two bases may be regarded as situated in the same plane ; in which case , the plane abcd , if 2 f E F H C B produced , will form in the ...### 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