Rudimentary Treatise on LogarithmsJohn Weale, 1853 - 68 páginas |
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Página 8
... loga- rithms ; they are , however , more frequently termed Napierean or Hyperbolic logarithms . The latter term , derived from cer- tain relations , found to exist between the logarithms of this system and the asymptotic spaces of the ...
... loga- rithms ; they are , however , more frequently termed Napierean or Hyperbolic logarithms . The latter term , derived from cer- tain relations , found to exist between the logarithms of this system and the asymptotic spaces of the ...
Página 9
... loga- rithms are always employed in the Differential and Integral Calculus , and the other higher branches of analysis . The logarithms of any particular system are immediately reduced to those of any other system , by merely being ...
... loga- rithms are always employed in the Differential and Integral Calculus , and the other higher branches of analysis . The logarithms of any particular system are immediately reduced to those of any other system , by merely being ...
Página 10
... loga- rithm of any intermediate number between 10 and 100 , must have a value between 1 and 2. Interpolating , therefore , these fractional values of the logarithms of the intermediate num- bers , we obtain the following series : — Nos ...
... loga- rithm of any intermediate number between 10 and 100 , must have a value between 1 and 2. Interpolating , therefore , these fractional values of the logarithms of the intermediate num- bers , we obtain the following series : — Nos ...
Página 11
... We see further that , when the num- ber is wholly a decimal fraction , the characteristic of its loga- rithm is negative ; when the first figure after the decimal - ― point is a significant figure * , the ON LOGARITHMS . 11.
... We see further that , when the num- ber is wholly a decimal fraction , the characteristic of its loga- rithm is negative ; when the first figure after the decimal - ― point is a significant figure * , the ON LOGARITHMS . 11.
Página 12
... loga- rithm is 1 , when a nought is interposed after the decimal point , so that the first significant figure is the second decimal figure , the characteristic is 2 , with two noughts it is — 3 , and generally , the characteristic of ...
... loga- rithm is 1 , when a nought is interposed after the decimal point , so that the first significant figure is the second decimal figure , the characteristic is 2 , with two noughts it is — 3 , and generally , the characteristic 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.