Rudimentary Treatise on LogarithmsJohn Weale, 1853 - 68 páginas |
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Página 1
... derived from two Greek words ( λoyos , ratio , and agilμos , number ) , and signifies the ratios of num- Ibers . By the ratio of two numbers , or the proportion which one number bears to the other ( the two terms being synonymous ) , is ...
... derived from two Greek words ( λoyos , ratio , and agilμos , number ) , and signifies the ratios of num- Ibers . By the ratio of two numbers , or the proportion which one number bears to the other ( the two terms being synonymous ) , is ...
Página 2
... derived from 2 by being multiplied by 3 , and in like manner 18 is obtained from 6 , and 54 from 18 ; so in the second series , the constant multiplier is 2 , each term being derived from the preceding by multiplication by that num- ber ...
... derived from 2 by being multiplied by 3 , and in like manner 18 is obtained from 6 , and 54 from 18 ; so in the second series , the constant multiplier is 2 , each term being derived from the preceding by multiplication by that num- ber ...
Página 3
... derive another definition of a logarithm , which may be de- It must be borne in mind that ao = 1 , and a1 = a , whatever the value of a may be . scribed as the index or exponent , to which a B 2 ON LOGARITHMS . 3 arithmetical series ...
... derive another definition of a logarithm , which may be de- It must be borne in mind that ao = 1 , and a1 = a , whatever the value of a may be . scribed as the index or exponent , to which a B 2 ON LOGARITHMS . 3 arithmetical series ...
Página 8
... derived from cer- tain relations , found to exist between the logarithms of this system and the asymptotic spaces of the hyperbola , and which were believed to be peculiar to it , is very properly falling into disuse , since it is now ...
... derived from cer- tain relations , found to exist between the logarithms of this system and the asymptotic spaces of the hyperbola , and which were believed to be peculiar to it , is very properly falling into disuse , since it is now ...
Página 13
... derived from that which precedes it , by the addition of a constant number . SCHOLIUM . Such a series is called an Arithmetical Series , and any one of the numbers composing it , a term . 8. The Common Difference , is the constant ...
... derived from that which precedes it , by the addition of a constant number . SCHOLIUM . Such a series is called an Arithmetical Series , and any one of the numbers composing it , a term . 8. The Common Difference , is the constant ...
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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.