## Elements of Geometry and Trigonometry |

### From inside the book

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Page 73

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**rectangle**A contains three units , and its altitude ten , that**rectangle**will be represented by the number 3 × 10 , or 30 , a number which signifies nothing while thus isolated ; but if there is a second**rectangle**B , the base of which ...Page 77

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**rectangle**AKLE . The base AK of the**rectangle**EK , is the sum of the two lines AB , BC ; its altitude AE is the difference of the same lines ; therefore the**rectangle**AKLE is equal to ( AB + BC ) × ( AB- E F Ꮐ H D C B K BC ) . But this ...Page 106

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**rectangle**. Upon AB as a diame- ter , describe a semicir- cle ; draw the line DE parallel to the diameter , at a ...**rectangle**required . For their sum is equal to AB ; and their**rectangle**AF.FB is equivalent to the square of EF , or to ...### 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