Elementary TrigonometryMacmillan and Company, 1893 - 404 páginas |
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Página xii
... given CASE II . When two sides and the included angle are given CASE III ... log . N are equivalent 139 aloga N = N is identically true 139 Logarithm of ... log , N = x log . N , and log , ax log , b = 1 146 Exponential Equations • 148 ...
... given CASE II . When two sides and the included angle are given CASE III ... log . N are equivalent 139 aloga N = N is identically true 139 Logarithm of ... log , N = x log . N , and log , ax log , b = 1 146 Exponential Equations • 148 ...
Página 139
... logarithm of any number to a given base is the index of the power to which the base must be raised in order to equal the given number . Thus if a * = N , x is called the logarithm of N to the base a . Example 1. Since 34-81 , the logarithm ...
... logarithm of any number to a given base is the index of the power to which the base must be raised in order to equal the given number . Thus if a * = N , x is called the logarithm of N to the base a . Example 1. Since 34-81 , the logarithm ...
Página 143
... logarithms to base 10 of all integers from 1 to 200000 have been found and tabulated ;, in most Tables they are given to seven places of decimals . The base 10 is chosen on account of two great advantages . ( 1 ) From the results ...
... logarithms to base 10 of all integers from 1 to 200000 have been found and tabulated ;, in most Tables they are given to seven places of decimals . The base 10 is chosen on account of two great advantages . ( 1 ) From the results ...
Página 144
... given number is - 4 ; .. log 0002432 = 4.3859636 . Example 2. Find the cube root of ⚫0007 , having given log 7 = -8450980 , log 887904 = 5.9483660 . Let x be the required cube root ; then that is , but 1 1 log = log ( ' 0007 ) = ( 4 ...
... given number is - 4 ; .. log 0002432 = 4.3859636 . Example 2. Find the cube root of ⚫0007 , having given log 7 = -8450980 , log 887904 = 5.9483660 . Let x be the required cube root ; then that is , but 1 1 log = log ( ' 0007 ) = ( 4 ...
Página 146
Henry Sinclair Hall, Samuel Ratcliffe Knight. 10 25 80 18. Evaluate 16 log- 4 log 9 24 - 7 log 81 19. Find the seventh root of 7 , given log 1.320469 = 1207283 . 20. Find the cube root of 00001764 , given log 260315 = 5.4154995 . 21. Given ...
Henry Sinclair Hall, Samuel Ratcliffe Knight. 10 25 80 18. Evaluate 16 log- 4 log 9 24 - 7 log 81 19. Find the seventh root of 7 , given log 1.320469 = 1207283 . 20. Find the cube root of 00001764 , given log 260315 = 5.4154995 . 21. Given ...
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1+cos 1+tan² a+cos A+tan acute angle angle of elevation B+cos centre circle College cos² cos³ cosec cosine cot² cyclic quadrilateral decimal denote diff equal equation ex-central triangle Example expression Fcap feet Find the angle find the distance find the height Find the number Find the value flagstaff following identities formula given log greatest angle Hence horizontal plane hypotenuse inscribed LAOB loga logarithm magnitude miles negative number of radians observer pedal triangle perpendicular polygon positive Prof Prove the following quadrant quadrilateral radian measure radius vector regular polygon right angle right-angled triangle sec² sexagesimal shew sides sin sin sin sin² sin³ sine solution solve the triangle subtends an angle supplementary angles tan² tangent tower triangle ABC trigono trigonometrical functions trigonometrical ratios π π
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