LogarithmsCharles W. Sever, 1882 - 43 páginas |
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Página 6
... latter method will be adopted . - = - Suppose the decimal part of the logarithm of 0.000795 to be 0.9004 , then is log 0.000795 4 + 0.9004 . Since we shall make the decimal part always + , its sign need not be written ; and in order to ...
... latter method will be adopted . - = - Suppose the decimal part of the logarithm of 0.000795 to be 0.9004 , then is log 0.000795 4 + 0.9004 . Since we shall make the decimal part always + , its sign need not be written ; and in order to ...
Página 24
... latter , and in the column headed sin , we find .2616 , which is sin 15 ° 10 ' . .. sin 15 ° 10 ' 0.2616 , and similarly = sin 15 ° 20 ' = 0.2644 difference = 28 . Now , by the method of interpolation ( see § 13 ) , the amount to be ...
... latter , and in the column headed sin , we find .2616 , which is sin 15 ° 10 ' . .. sin 15 ° 10 ' 0.2616 , and similarly = sin 15 ° 20 ' = 0.2644 difference = 28 . Now , by the method of interpolation ( see § 13 ) , the amount to be ...
Página 40
... latter from 10 . 1 therefore by § 34 we " seco finding log sec and then sub- Thus , log cos 0 ° 18 ' = 10.0000 log cos 1 ° 02 ' = 9.9999 log sin log cos 4 ° 12 ' = 9.9988 log cos 5 ° 50 ' = 9.9977 . can be found by the aid of the left ...
... latter from 10 . 1 therefore by § 34 we " seco finding log sec and then sub- Thus , log cos 0 ° 18 ' = 10.0000 log cos 1 ° 02 ' = 9.9999 log sin log cos 4 ° 12 ' = 9.9988 log cos 5 ° 50 ' = 9.9977 . can be found by the aid of the left ...
Página 41
... latter from 10 . Examples : log ctn 0 ° 15 ' = 2.3602 ( See § 34. ) log ctn 2 ° 08 ' = 1.4289 . II . To find when the logarithm of any one of its functions is given . Examples . Find in each of the following cases : ( 1 ) log sin ...
... latter from 10 . Examples : log ctn 0 ° 15 ' = 2.3602 ( See § 34. ) log ctn 2 ° 08 ' = 1.4289 . II . To find when the logarithm of any one of its functions is given . Examples . Find in each of the following cases : ( 1 ) log sin ...
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100 opposite 4-place table amount angle between 84 Answers arithm arithmetical complement column headed common logarithms cosecant cotangents of angles decimal point diff division of page Examples exponent find an angle find log sec find log sin Find the logarithms Find the numbers Find the values found with definiteness fourth place FRANCIS PEABODY MAGOUN full-faced type functions of angles given logarithm horizontal line inclusive integral power know from Trigonometry last two figures Let us find log arc 1'+e log cos log csc log ctn log log log sin log log,l=x logarithm is base logarithms of numbers mantissa method of interpolation number is equal number whose logarithm obtained place of decimals printed in full-faced secant significant figure sine and cosecant small table smaller type successive logarithms system of logarithms system the logarithm tabular log third division three figures tracting the latter trigono TRIGONOMETRIC FUNCTIONS true log
Pasajes populares
Página 4 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 4 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Página 7 - The integral part of a logarithm is called its characteristic, and the decimal part is called the mantissa.
Página 3 - The logarithm of the product of two or more numbers is equal to the sum of the logarithms of the numbers. For, let m and n be two numbers, and x and y their logarithms. Then, by the definition of a logarithm, m — ax, and n = a».
Página 1 - The exponent of the power to which a fixed number called the Base must be raised in order to produce a given number is called the Logarithm of the given number.
Página 2 - IV. The logarithm of a root of a number is found by dividing the logarithm of the number by the index of the root : log v/a = (log a)/b. This follows from the fact that if 10
Página 6 - Art. 66 we see that the logarithm of a number which is not an integral power of 10 is an integer plus a decimal.
Página 27 - ... cosines, &c., themselves. When logarithms were invented they were called artificial numbers, and the originals for which logarithms were computed, were accordingly called natural numbers. Thus, in speaking of a table of sines, to express that it is not the logarithms of the sines which are given, but...
Página 15 - For example, to obtain 1000, three tens must be multiplied together so that the logarithm of 1000 is 3. The logarithm of the reciprocal of a number is equal to the negative of the logarithm of the number.