## Elements of Geometry and Trigonometry |

### From inside the book

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Page 20

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**vertex**of an isosceles triangle to the middle point of its base , is perpendicular to the base , and divides the angle at the**vertex**into two equal parts . In a triangle which is not isosceles , any side may be assumed indifferently as ...Page 143

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**vertex**; and the triangles ASB , BSC , CSD , & c . form its convex or lateral sur- face . 11. If from the pyramid S - ABCDE , the pyramid S - abcde be cut off by a plane parallel to the base , the remaining solid ABCDE - d , is called a ...Page 162

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**vertex**and FfH for its base , these two pyramids will have the same base FfH ; they will also have the same altitude , because their**vertices**g and K lie in the line gK , parallel to Ff , and consequently parallel to the plane of 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