LogarithmsCharles W. Sever, 1882 - 43 páginas |
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Página 29
... ctn 42 ° 10 ' : = = 9.9570 - 10 = 0.0930 . SECOND . The numbers printed in smaller type are dif- ferences to be used in interpolating ; we find , for example , between log sin 7 ° 00 ′ and log ... log ctn 7 ° 08 ′ and log cos LOGARITHMS . 29.
... ctn 42 ° 10 ' : = = 9.9570 - 10 = 0.0930 . SECOND . The numbers printed in smaller type are dif- ferences to be used in interpolating ; we find , for example , between log sin 7 ° 00 ′ and log ... log ctn 7 ° 08 ′ and log cos LOGARITHMS . 29.
Página 30
Henry Nathan Wheeler. Find log ctn 7 ° 08 ′ and log cos 7 ° 07 ' . log ctn 7 ° 10 ' = 0.9005 .2 of 102 = 20 . ... log ctn 7 ° 08 ′ = 0.9025 ; .. log cos 7 ° 10 ' = 9.9966 .3 of 2 = 1 log cos 7 ° 07 ' = 9.9967 . Suppose we wish to find log ...
Henry Nathan Wheeler. Find log ctn 7 ° 08 ′ and log cos 7 ° 07 ' . log ctn 7 ° 10 ' = 0.9005 .2 of 102 = 20 . ... log ctn 7 ° 08 ′ = 0.9025 ; .. log cos 7 ° 10 ' = 9.9966 .3 of 2 = 1 log cos 7 ° 07 ' = 9.9967 . Suppose we wish to find log ...
Página 34
... log sec ; prefixing zeros for the other figures we get log sec 1 ° 35 ' = 0.0002 . Find ( 1 ) log sec 0 ° 35 ... ctn , and log csc of angles between 84 ° and 90 ° . We proceed as in § 30 ... log sec A = 0.0016 ; find A. 34 LOGARITHMS .
... log sec ; prefixing zeros for the other figures we get log sec 1 ° 35 ' = 0.0002 . Find ( 1 ) log sec 0 ° 35 ... ctn , and log csc of angles between 84 ° and 90 ° . We proceed as in § 30 ... log sec A = 0.0016 ; find A. 34 LOGARITHMS .
Página 36
... log sin 4 , = 10 - tab . log tano , ( 3 ) log sec and when is between 84 ° and - 90 ° * tab . log cos , ( 4 ) log tan = = 10 10 tab . log ctn . If we also put ( 5 ) log cos = 10 tab . log sec , ( 6 ) log sin = 10 tab . log csc 4 , we ...
... log sin 4 , = 10 - tab . log tano , ( 3 ) log sec and when is between 84 ° and - 90 ° * tab . log cos , ( 4 ) log tan = = 10 10 tab . log ctn . If we also put ( 5 ) log cos = 10 tab . log sec , ( 6 ) log sin = 10 tab . log csc 4 , we ...
Página 37
... log cos 2 ° 53 ' log sec 88 ° 02'.4 log tan 88 ° 02'.4 log sin 88 ° 02'.4 = 9.9997 . = 1.4660 = = 1.4657 § 35. To find an angle ( between 0 ° and 6 ° ) from its log csc , log ctn , or log cos ; and an angle ( between 84 ° and 90 ° ) from ...
... log cos 2 ° 53 ' log sec 88 ° 02'.4 log tan 88 ° 02'.4 log sin 88 ° 02'.4 = 9.9997 . = 1.4660 = = 1.4657 § 35. To find an angle ( between 0 ° and 6 ° ) from its log csc , log ctn , or log cos ; and an angle ( between 84 ° and 90 ° ) from ...
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103 opposite 4-place 7-place table amount angle between 84 Answers arco 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 tan log 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 sines and cosines 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.