Rudimentary Treatise on LogarithmsJohn Weale, 1853 - 68 páginas |
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Página 8
... logarithms , and was employed by him in the first system of logarithms , which was calculated by Briggs . The reason why such an intricate number was adopted , and not some simple integer , will be presently explained ; it may be ...
... logarithms , and was employed by him in the first system of logarithms , which was calculated by Briggs . The reason why such an intricate number was adopted , and not some simple integer , will be presently explained ; it may be ...
Página 9
... logarithms of any particular system are immediately reduced to those of any other system , by merely being multi- plied by a constant number , whose value depends on the re- lative values of the bases of the two systems . Thus , the ...
... logarithms of any particular system are immediately reduced to those of any other system , by merely being multi- plied by a constant number , whose value depends on the re- lative values of the bases of the two systems . Thus , the ...
Página 12
... logarithms having 10 for their base which pos- sess this important property , of having the same mantissa for the same figures , and this was the reason of that number being proposed by Briggs for the base of the common system of logarithms ...
... logarithms having 10 for their base which pos- sess this important property , of having the same mantissa for the same figures , and this was the reason of that number being proposed by Briggs for the base of the common system of logarithms ...
Página 13
... Logarithm of a number , to any base , is the index or exponent of the power to which that base must be involved , to be equal to the number . 6. A System of Logarithms , is the collection of the loga- rithms of a series of numbers ...
... Logarithm of a number , to any base , is the index or exponent of the power to which that base must be involved , to be equal to the number . 6. A System of Logarithms , is the collection of the loga- rithms of a series of numbers ...
Página 22
... logarithm having b for its base , its value being entirely in- dependent of n ( Prop . B , [ 3 ] ) ; and we have further shown ( Prop . D ) that , when the base of the system of logarithms is taken equal to 2.718281828 = E , the value ...
... logarithm having b for its base , its value being entirely in- dependent of n ( Prop . B , [ 3 ] ) ; and we have further shown ( Prop . D ) that , when the base of the system of logarithms is taken equal to 2.718281828 = E , the value ...
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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.