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 . 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 . BOOK II . OF RATIOS AND PROPORTIONS . Definitions . BOOK I. 33.
Page 34
... Ratio is the quotient arising from by another quantity of the same kind . resent quantities of the same kind , the B pressed by Α ' dividing one quantity Thus , if A ... ratio of any other 34 GEOMETRY . BOOK II 57 59 Ratios and Proportions,
... Ratio is the quotient arising from by another quantity of the same kind . resent quantities of the same kind , the B pressed by Α ' dividing one quantity Thus , if A ... ratio of any other 34 GEOMETRY . BOOK II 57 59 Ratios and Proportions,
Page 35
... 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 Α to B , that C has to D , or the ratio of A to B is equal to the ...
... 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 Α to B , that C has to D , or the ratio of A to B is equal to the ...
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Common terms and phrases
adjacent altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface cosine cotangent cylinder diagonal diameter dicular distance divided draw drawn equal angles 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 measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular 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 slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex