Elements of Geometry and Trigonometry |
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Page 4
Book II . , on 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 ...
Book II . , on 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 ...
Page 5
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 ...
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 ...
Page 33
... and 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 .
... and 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 .
Page 34
OF RATIOS AND PROPORTIONS . Definitions . 1. 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 ex- B ...
OF RATIOS AND PROPORTIONS . Definitions . 1. 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 ex- B ...
Page 35
In the same manner , the ratio of any other two magnitudes C and D may be expressed by Px C ' to QxC ' , P and Q being also integral numbers , and their ratio will be the same as that of P to Q. 2. If there be four magnitudes A ...
In the same manner , the ratio of any other two magnitudes C and D may be expressed by Px C ' to QxC ' , P and Q being also integral numbers , and their ratio will be the same as that of P to Q. 2. If there be four magnitudes A ...
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Common terms and phrases
ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently construction contained corresponding cosine Cotang cylinder described diameter difference distance divided draw drawn equal equation equivalent evident expressed extremities fall figure follows formed formulas four frustum give given gles greater half hence homologous included inscribed intersection less likewise logarithm manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment shown sides similar sine solid solid angle sphere spherical triangle square straight line Suppose surface taken tang tangent THEOREM third triangle triangle ABC vertex whole
Bibliographic information
| Title | Elements of Geometry and Trigonometry |
| Author | Adrien Marie Legendre |
| Editor | Charles Davies |
| Translated by | David Brewster |
| Edition | 4 |
| Publisher | A.S. Barnes and Company, 1834 |
| Original from | the University of California |
| Digitized | 14 Oct 2010 |
| Length | 359 pages |
| Export Citation | BiBTeX EndNote RefMan |