Elements of Geometry and Trigonometry |
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Page 234
... till you reach the number expressing the minutes ; then pass along the horizontal line into the columns designated tang , cotang . , sine , cosine , as the case may be ; the number so pointed out is the logarithm required .
... till you reach the number expressing the minutes ; then pass along the horizontal line into the columns designated tang , cotang . , sine , cosine , as the case may be ; the number so pointed out is the logarithm required .
Page 235
It will be seen , that the column designated sine at the top of the page , is designated cosine at the bottom ; the one designated tang . , by cotang . , and the one designated cotang . , by tang . This The angle found by taking the ...
It will be seen , that the column designated sine at the top of the page , is designated cosine at the bottom ; the one designated tang . , by cotang . , and the one designated cotang . , by tang . This The angle found by taking the ...
Page 236
+ log . cotang 20. Therefore , having two arcs , a and b , log . tang blog . cotang blog . tang a + log . cotang a ; or , log . tang b - log . tang a = log . cotang a - log . cotang b . Now , if it were required to find the logarithmic ...
+ log . cotang 20. Therefore , having two arcs , a and b , log . tang blog . cotang blog . tang a + log . cotang a ; or , log . tang b - log . tang a = log . cotang a - log . cotang b . Now , if it were required to find the logarithmic ...
Page 237
To find the arc corresponding to cotang . 10.008688 . Cotang 44 ° 26 ' , next less in the table 10.008591 t Tab . Diff . 421 ) 9700 ( 23 " Hence , 44 ° 26 ' - 23 " -44 ° 25 ′ 37 ′′ is the arc corresponding to the given cotangent ...
To find the arc corresponding to cotang . 10.008688 . Cotang 44 ° 26 ' , next less in the table 10.008591 t Tab . Diff . 421 ) 9700 ( 23 " Hence , 44 ° 26 ' - 23 " -44 ° 25 ′ 37 ′′ is the arc corresponding to the given cotangent ...
Page
... 097183 16639 107167 16265 116926 15908 46 126471 15566 47 135810 15238 44 45 48 144953 14924 153907 14622 152681 14333 M. 112345678 12 13 37 38 39 40 41 8.076500 42 + 38583Aio : 49 50 51 8.171280 52 289 60 D. Cotang . Infinite .
... 097183 16639 107167 16265 116926 15908 46 126471 15566 47 135810 15238 44 45 48 144953 14924 153907 14622 152681 14333 M. 112345678 12 13 37 38 39 40 41 8.076500 42 + 38583Aio : 49 50 51 8.171280 52 289 60 D. Cotang . Infinite .
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Common terms and phrases
ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently contained Cosine Cotang cylinder described determine diameter difference distance divided draw drawn equal equations equivalent expressed extremities faces feet figure follows formed four frustum give given gles greater half hence homologous hypothenuse included inscribed intersection less let fall logarithm manner means measured meet middle multiplied number of sides opposite parallel parallelogram pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment sides similar Sine solid solid angle sphere spherical triangle square straight line suppose taken Tang tangent THEOREM third triangle triangle ABC unit vertex whole
Bibliographic information
| Title | Elements of Geometry and Trigonometry DAVIES' COURSE OF MATHEMATICS |
| Author | Adrien Marie Legendre |
| Editor | Charles Davies |
| Translated by | David Brewster |
| Publisher | A.S. Barnes and Company, 1839 |
| Original from | Harvard University |
| Digitized | 14 Jan 2008 |
| Length | 359 pages |
| Export Citation | BiBTeX EndNote RefMan |