## Elements of Geometry and Trigonometry |

### From inside the book

Results 1-5 of 32

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**Ratios**and Proportions , has been partly adopted from the Encyclopedia Metropolitana , and will , it is believed , supply a deficiency in the original work . Very considerable alterations have also been made in the manner of treating ... Page 5

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**Ratios**and Proportions , 34 BOOK III . The Circle and the Measurement of Angles , Problems relating to the First and Third Books , BOOK IV . The Proportions of Figures and the Measurement of Areas , Problems relating to the Fourth Book ... Page 33

... are therefore equal : whence it follows that the angles AEB , BEC , are equal , and therefore , that the two diagonals of a rhombus cut each other at right angles . } BOOK II . OF

... are therefore equal : whence it follows that the angles AEB , BEC , are equal , and therefore , that the two diagonals of a rhombus cut each other at right angles . } BOOK II . OF

**RATIOS**AND PROPORTIONS . Definitions 5 BOOK I. 33. 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**...**ratio**of any other 34 GEOMETRY . BOOK II**Ratios**and Proportions, Page 35

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**ratio**of C to D. When four 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 ...### Other editions - View all

### Common terms and phrases

adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone consequently convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex