Rudimentary Treatise on LogarithmsJohn Weale, 1853 - 68 páginas |
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Página 10
... characteristic , the mantissa or decimal portion being identical in both ; the reason of this will be very evident ... characteristic . In fact , the addition of 1 to the characteristic is multiplying the number which it represents by 10 ...
... characteristic , the mantissa or decimal portion being identical in both ; the reason of this will be very evident ... characteristic . In fact , the addition of 1 to the characteristic is multiplying the number which it represents by 10 ...
Página 11
... characteristic which changes its value , with a change in the position of the decimal point . The value of the characteristic of the logarithm of a number is always one less than the number of integers in that num- ber ; thus , in the ...
... characteristic which changes its value , with a change in the position of the decimal point . The value of the characteristic of the logarithm of a number is always one less than the number of integers in that num- ber ; thus , in the ...
Página 12
... characteristic is 2 , with two noughts it is — 3 , and generally , the characteristic of the logarithm of a deci- mal fraction is a negative number , greater by unity than the number of noughts following the decimal point . Instead of ...
... characteristic is 2 , with two noughts it is — 3 , and generally , the characteristic of the logarithm of a deci- mal fraction is a negative number , greater by unity than the number of noughts following the decimal point . Instead of ...
Página 14
... Characteristic of a Logarithm , is the integral number , to the left of the decimal point . 12. The Mantissa of a Logarithm , is the decimal number , to the right of the decimal point . 13. A Significant Figure is every figure but a ...
... Characteristic of a Logarithm , is the integral number , to the left of the decimal point . 12. The Mantissa of a Logarithm , is the decimal number , to the right of the decimal point . 13. A Significant Figure is every figure but a ...
Página 30
... characteristic of the logarithm of a number to the base 10 , is always one less than the number of integral figures in that number . Let the number consist of only one integer ; then its value must be less than 10 ; now the logarithm of ...
... characteristic of the logarithm of a number to the base 10 , is always one less than the number of integral figures in that number . Let the number consist of only one integer ; then its value must be less than 10 ; now the logarithm of ...
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Términos y frases comunes
added angle opposite annexed table Arith arithmetical complement arithmetical progression arithmetical series base Binomial Theorem calculation characteristic coefficient common logarithm comp constant number cube cubic feet cyphers decimal places decimal point deflexion denoted diameter diff difference divisor equal the area equal to unity equation example feet per second formulæ four figures fraction geometrical progression geometrical series given logarithm given number given sides HENRY LAW inches increment initial figures less logarithm less number loga logarithmic sine Logarithms of Numbers mantissa modulus multiplied natural number negative nth root number answering number corresponding number of integers number required number whose logarithm obtain Prime number PROPOSITION quantity quotient remainder rithm rule SCHOLIUM series of numbers significant figure sixth figure square root system of logarithms tables of logarithms THEOREM velocity weight ΙΟ λα
Pasajes populares
Página 5 - To divide powers of the same base, subtract the exponent of the divisor from the exponent of the dividend.
Página 28 - The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página 12 - The characteristic of the logarithm of 5673 is 3 ; of 73254 is 4, &c. The characteristic of the logarithm of a decimal fraction is a negative number, and is equal to the number of places by which its first significant figure is removed from the place of units. Thus the logarithm of .0046 is 3 plus a fraction ; that is, the characteristic of the logarithm is -3, the first significant figure, 4, being removed three places from units.
Página 45 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Página 29 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 6 - ... number by the exponent of the power, to which it is to be raised; the number in the table corresponding to this product, will be the power sought.
Página 46 - ADD the logarithms of the SECOND and THIRD terms, and .from the sum SUBTRACT the logarithm of the FIRST term.
Página 56 - Multiply the number of degrees in the arc by the area of the whole circle and divide by 360. Example. What is the area of a sector of a circle whose radius is 5 and length of arc 60°?
Página 47 - Divide the logarithm of the given number by the index of the root ; and the quotient will be the logarithm of the required root (Art.
Página 51 - Having two angles, and a side opposite to one of them-, to find the third angle.