## Elements of Geometry and Trigonometry |

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Page 34

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**Ratio**is the quotient arising from dividing one quantity by another quantity of the same kind . Thus , if A and B rep- resent quantities of the same kind , the**ratio**of A to B is ...**ratio**of any 34 GEOMETRY . BOOK II**Ratios**and Proportions,Page 35

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**ratio**will be the same as that of P to Q. 2. If there be four magnitudes A , B , C , and D , having such B. D values that is equal to- then A is said to have the same**ratio**A to B , that C has to D , or the**ratio**of A to B is equal to the ...Page 67

Adrien Marie Legendre Charles Davies. wards , in the

Adrien Marie Legendre Charles Davies. wards , in the

**ratio**of the diagonal to the side of the square . In those cases , therefore , the exact**ratio**in numbers cannot be found ; but , by neglecting the last remainder , an approximate**ratio**...### 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