Elements of Geometry and Trigonometry |
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Page 12
The sign is the sign of equality ; thus , the expression A = B , signifies that A is equal to B. To signify that A is ... To signify that A is greater than B , the expression A > B is used ; the smaller quantity being always at the ...
The sign is the sign of equality ; thus , the expression A = B , signifies that A is equal to B. To signify that A is ... To signify that A is greater than B , the expression A > B is used ; the smaller quantity being always at the ...
Page 13
... but this expression should not be employed , when there is any danger of confounding it with that of the line AB , which expresses the distance between the points A and B. The expression Ax ( B + C - D ) represents the product of A ...
... but this expression should not be employed , when there is any danger of confounding it with that of the line AB , which expresses the distance between the points A and B. The expression Ax ( B + C - D ) represents the product of A ...
Page 30
each of its angles will be equal to the third part of two right angles ; so that , if the right angle is expressed by unity , the angle of an equilateral triangle will be expressed by . Cor . 6. In every triangle ABC , the exterior ...
each of its angles will be equal to the third part of two right angles ; so that , if the right angle is expressed by unity , the angle of an equilateral triangle will be expressed by . Cor . 6. In every triangle ABC , the exterior ...
Page 34
Thus , if A and B rep- resent quantities of the same kind , the ratio of A to B is ex- B pressed by Α ' The ratios of magnitudes may be expressed by numbers , either exactly or approximatively ; and in the latter case ...
Thus , if A and B rep- resent quantities of the same kind , the ratio of A to B is ex- B pressed by Α ' The ratios of magnitudes may be expressed by numbers , either exactly or approximatively ; and in the latter case ...
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 |