## Elements of Geometry and Trigonometry |

### From inside the book

Results 1-3 of 17

Page 35

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**quantities**have this relation to each other , they are said to be in proportion . To indicate that the ratio of A to B is equal to the ratio of C to D , the**quantities**are usually written thus , A : B : : C : D , and read , A is to B as ...Page 36

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**quantities**in proportion , and M : N :: P : Q be their numerical representatives ; then will M × Q = NxP ; for since the**quantities**are in proportion fore N = M × 2 , or NxP = M × Q . P there . M P Cor . If there are three ...Page 38

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**quantities**, so that M : N :: P : Q ; then will M ± N : M :: P ± Q : P . For , from the first proportion , we have ...**quantities**, have the same ratio as the**quantities**themselves . Let M and N be any two**quantities**, and m any ...### Contents

BOOK | 7 |

Problems relating to the First and Third Books 57 | 57 |

BOOK IV | 68 |

14 other sections not shown

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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