## Elements of Geometry and Trigonometry |

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**adjacent angles**will be equal to two right angles . A E B Let the straight line DC meet the straight line AB at C , then will the angle ACD + the angle DCB , be equal to two right angles . At the point C , erect CE perpendicular to AB . The ...Page 15

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**adjacent angles**equal to two right angles , the two straight lines which are met , will form one and the same straight line . Let the straight line CD meet the two lines AC , CB , at their common point C , making the sum of the two ...Page 61

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**adjacent angles**will thus be known : draw the straight line D F H DE equal to the given side : at the point D , make an angle EDF equal to one of the**adjacent angles**, and at E , an angle DEG equal to the other ; the two lines DF , EG ...### 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