LogarithmsCharles W. Sever, 1882 - 43 páginas |
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Página 25
... angles between 0 ° and 45 ° . § 21. We will now show how to find the trigonometric functions of angles between 45 ... 84 ° 13 ' = 0.9949 cos 84 ° 13 ' = 0.10077 tan 84 ° 13 ' = 9.88 ctn 84 ° 13 ' = 0.10128 sec 84 ° 13 ' = 9.93 csc 84 ...
... angles between 0 ° and 45 ° . § 21. We will now show how to find the trigonometric functions of angles between 45 ... 84 ° 13 ' = 0.9949 cos 84 ° 13 ' = 0.10077 tan 84 ° 13 ' = 9.88 ctn 84 ° 13 ' = 0.10128 sec 84 ° 13 ' = 9.93 csc 84 ...
Página 28
... of the Tables ) , by the aid of which the logarithms of the trigono- metric functions can be found directly from the angles . $ 27 . Angles between 6 ° 00 ' and 84 ° 00 ′ inclusive . ( Tables pages 10-15 . ) : To the student who is ...
... of the Tables ) , by the aid of which the logarithms of the trigono- metric functions can be found directly from the angles . $ 27 . Angles between 6 ° 00 ' and 84 ° 00 ′ inclusive . ( Tables pages 10-15 . ) : To the student who is ...
Página 32
Henry Nathan Wheeler. ANGLES BETWEEN 0 ° AND 6 ° AND BETWEEN 84 ° AND 90 ° . ( Tables pages 8 , 9. ) § 29. When an angle is near 0 ° or 90 ° , the difference between successive logarithms of certain of its functions is comparatively ...
Henry Nathan Wheeler. ANGLES BETWEEN 0 ° AND 6 ° AND BETWEEN 84 ° AND 90 ° . ( Tables pages 8 , 9. ) § 29. When an angle is near 0 ° or 90 ° , the difference between successive logarithms of certain of its functions is comparatively ...
Página 34
... of angles between 84 ° and 90 ° . We proceed as in § 30 , except that the angles and names of the functions are to be found at the bottom of pages 8 and 9 of the tables , while the minute column is to be found on the right , and all the ...
... of angles between 84 ° and 90 ° . We proceed as in § 30 , except that the angles and names of the functions are to be found at the bottom of pages 8 and 9 of the tables , while the minute column is to be found on the right , and all the ...
Página 36
... angle between 0 ° and 6 ° , ( 1 ) log csc ( 2 ) log ctn = 10 - tab . log sin 4 , = 10 - tab . log tano , ( 3 ) log sec and when is between 84 ... of the reciprocal of a function sub- tract the tabular logarithm of the function from 10 , and ...
... angle between 0 ° and 6 ° , ( 1 ) log csc ( 2 ) log ctn = 10 - tab . log sin 4 , = 10 - tab . log tano , ( 3 ) log sec and when is between 84 ... of the reciprocal of a function sub- tract the tabular logarithm of the function from 10 , and ...
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Términos y frases comunes
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.