Elements of Geometry and Trigonometry |
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Page 228
... till you reach the number expressing the mi- nutes ; 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 mi- nutes ; 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 229
It will be seen , that the column designated sine at the top of the page , is designated cosine at the bottom ; the one desig- nated tang . , by cotang . , and the one designated cotang . , by tang . 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 desig- nated tang . , by cotang . , and the one designated cotang . , by tang . The angle found by taking the ...
Page 230
+ 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 b - log . cotang a . 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 b - log . cotang a . Now , if it were required to find the logarithmic ...
Page 231
To find the arc corresponding to cotang . 10.008688 . Cotang 44 ° 26 ' , next less in the table 10.008591 Tab . Diff . 421 ) 9700 ( 23 Hence , 44 ° 26 ′ - 23 " -44 ° 25 ′ 37 ′′ is the are corresponding to the given cotangent 10.008688 .
To find the arc corresponding to cotang . 10.008688 . Cotang 44 ° 26 ' , next less in the table 10.008591 Tab . Diff . 421 ) 9700 ( 23 Hence , 44 ° 26 ′ - 23 " -44 ° 25 ′ 37 ′′ is the are corresponding to the given cotangent 10.008688 .
Page 18
0.000000 0.0000001 D. Cotang . 000000 00 6.463726 501717 Inumite . 60 13.536274 59 000000 00 764756 293483 235244 58 000000 00 940847 208231 059153 57 000000 00 7.065786 161517 12.934214 56 162696 131969 837304 55 241878 111578 758122 ...
0.000000 0.0000001 D. Cotang . 000000 00 6.463726 501717 Inumite . 60 13.536274 59 000000 00 764756 293483 235244 58 000000 00 940847 208231 059153 57 000000 00 7.065786 161517 12.934214 56 162696 131969 837304 55 241878 111578 758122 ...
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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