## Elements of Geometry and Trigonometry |

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**equal**to the triangle BAC ( Ax . 13. ) . Cor . When two triangles have these three things**equal**, namely , the side ED = BĂ , the side DF - AC , and the angle D = A , the remaining three are also respectively**equal**, namely , the ...Page 20

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**equal**to BC , by hypothesis ; therefore , the angle D can neither be greater nor less than A ; therefore it must be**equal**to it . In the same manner it may be shown that the angle E is**equal**to B , and the angle F to C : hence the ...Page 32

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**equal**to four right angles . PROPOSITION XXVIII . THEOREM . In every parallelogram , the opposite sides and angles are**equal**. Let ABCD be a parallelogram : then will D AB = DC , AD = BC , A = C , and ADC = ABC . = B For , draw 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