Rudimentary Treatise on LogarithmsJohn Weale, 1853 - 68 páginas |
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Página 35
... sixth figure of the natural number , the double of this or 34 for two units , the treble or 51 for three units , and so on ; and each of the numbers so obtained will be the incre- ment of the logarithm corresponding with an increase of ...
... sixth figure of the natural number , the double of this or 34 for two units , the treble or 51 for three units , and so on ; and each of the numbers so obtained will be the incre- ment of the logarithm corresponding with an increase of ...
Página 36
... sixth figure of the natural numbers , they express , how- ever , the increments for the units in the seventh place of the natural number when divided by 10 , or for the eighth when divided by 100. Thus , suppose the logarithm of ...
... sixth figure of the natural numbers , they express , how- ever , the increments for the units in the seventh place of the natural number when divided by 10 , or for the eighth when divided by 100. Thus , suppose the logarithm of ...
Página 38
... sixth line the initial figures change from 38 to 39 , and this is indicated ... figure of the natural number . Thus , let the loga- rithm of 246057 be ... figure of the same , we find the propor tional part to be added for that figure ...
... sixth line the initial figures change from 38 to 39 , and this is indicated ... figure of the natural number . Thus , let the loga- rithm of 246057 be ... figure of the same , we find the propor tional part to be added for that figure ...
Página 39
... sixth figure of the required number . Thus , what is the natural number whose logarithm is 3 · 416369 ? The given logarithm Next less logarithm • = 3.416369 • Next less diff . in table = 3 · 416308 = the log of 2608 . 61 1st diff ...
... sixth figure of the required number . Thus , what is the natural number whose logarithm is 3 · 416369 ? The given logarithm Next less logarithm • = 3.416369 • Next less diff . in table = 3 · 416308 = the log of 2608 . 61 1st diff ...
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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.