An Introduction to Algebra: With Notes and Observations : Designed for the Use of Schools and Places of Public Education : to which is Added an Appendix on the Application of Algebra to GeometryEvert Duyckinck, Daniel D. Smith and George Long, 1818 - 260 sider |
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Side 203
... loga- rithm of that number . Hence , besides the use of logarithms in abridging the operations of multiplication and division , they are equally applicable to the raising of powers and extracting of roots ; which are performed by simply ...
... loga- rithm of that number . Hence , besides the use of logarithms in abridging the operations of multiplication and division , they are equally applicable to the raising of powers and extracting of roots ; which are performed by simply ...
Side 204
... loga- rithm , which is usually called its index , or character- istic , is always less by 1 than the number of integers which the natural number consists of ; and for decimals , it is the number which denotes the distance of the 204 ...
... loga- rithm , which is usually called its index , or character- istic , is always less by 1 than the number of integers which the natural number consists of ; and for decimals , it is the number which denotes the distance of the 204 ...
Side 207
... loga . rithms have superseded the use of hyperbolic or Neperian loga- rithms , in all the ordinary operations to which these numbers are generally applied , yet the latter are not without some advantages peculiar to themselves ; being ...
... loga . rithms have superseded the use of hyperbolic or Neperian loga- rithms , in all the ordinary operations to which these numbers are generally applied , yet the latter are not without some advantages peculiar to themselves ; being ...
Side 212
... loga- rithm of any prime number Also , because the sum of the logarithms of any two numbers gives the logarithm of their product , and the difference of the logarithms the logarithm of their quo- tient , & c .; we may readily compute ...
... loga- rithm of any prime number Also , because the sum of the logarithms of any two numbers gives the logarithm of their product , and the difference of the logarithms the logarithm of their quo- tient , & c .; we may readily compute ...
Side 213
... loga- rithms as we please , or may speedily examine any loga- rithm in the table . MULTIPLICATION BY LOGARITHMS . Take out the logarithms of the factors from the table , and add them together ; then the natural number answer- ing to the ...
... loga- rithms as we please , or may speedily examine any loga- rithm in the table . MULTIPLICATION BY LOGARITHMS . Take out the logarithms of the factors from the table , and add them together ; then the natural number answer- ing to the ...
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Vanlige uttrykk og setninger
Algebra arithmetical arithmetical mean arithmetical series bers coefficient common denominator compound quantity consequently cube root cubic equation decimal denoted Diophantus dividend divisor equal EXAMPLES FOR PRACTICE find the difference find the least find the product find the square find the sum find the value find two numbers fraction required geometrical geometrical progression geometrical series give given number greatest common measure Hence improper frac improper fraction infinite series last term letters loga logarithms mixed quantity multiplied negative nth root number of terms number required PROBLEM proportion quadratic equation question quotient rational reduce the fraction remainder Required the difference Required the sum required to convert required to divide required to find required to reduce result rithm rule second term side simple form square number square root square sought substituted subtracted sum required surd tion triangle unknown quantity Whence α α
Populære avsnitt
Side 10 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Side 20 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
Side 27 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.
Side 173 - Ios- y" &cFrom which it is evident, that the logarithm of the product of any number of factors is equal to the sum of the logarithms of those factors. Hence...
Side 77 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...
Side 93 - It is required to divide the number 24 into two such parts, that their product may be equal to 35 times their difference. Ans. 10 and 14.
Side 93 - It is required to divide the number 60 into two such parts, that their product shall be to the sum of their squares in the ratio of 2 to 5.
Side 94 - What two numbers are those whose sum, multiplied by the greater, is equal to 77 ; and whose difference, multiplied by the less, is equal to 12 ? Ans.
Side 30 - Multiply the index of the quantity by the index of the power to which it is to be raised, and the result will be the power required.