## Elements of Geometry and Trigonometry |

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Page 132

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**intersection**of the two planes but AB cannot meet CD , since they are parallel ; hence it will not meet the plane MN ; hence it is parallel to that plane ( Def . 2. ) . PROPOSITION IX . THECREM . Two planes which are perpendicular to ...Page 134

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**intersection**AD will be parallel to BC ( Prop . X. ) ; but the line AB , being perpendicular to the plane MN , is ...**intersections**EF , GH , are parallel to each other ( Prop . X. ) ; so likewise are EG , FH ; therefore the figure EGHF ...Page 192

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**intersection**of two arcs ACB , OCN , the two adjacent angles ACO , OCB , taken together , are equal to two right angles . A B PROPOSITION VII . THEOREM . If from the vertices of the three angles of a spherical triangle , as poles ...### 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