Elements of Geometry and Trigonometry |
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Page 4
... 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 ...
... 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
... Ratios and Proportions , 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 ...
... Ratios and Proportions , 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 . C BOOK II . OF RATIOS AND PROPORTIONS . Definitions . BOOK I. 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 . C BOOK II . OF RATIOS AND PROPORTIONS . Definitions . BOOK I. 33.
Page 34
... Ratio is the quotient arising from dividing one quantity by another quantity of the same kind . Thus , if A and B rep- esent quantities of the same kind , the ratio of A to ... ratio of any other 34 GEOMETRY . BOOK II Ratios and Proportions,
... Ratio is the quotient arising from dividing one quantity by another quantity of the same kind . Thus , if A and B rep- esent quantities of the same kind , the ratio of A to ... ratio of any other 34 GEOMETRY . BOOK II Ratios and Proportions,
Page 35
... 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 ...
... 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 ...
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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 convex surface Cosine 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 logarithm number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar Sine Cotang slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex