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Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...
Davis Wasgatt Clark
Sin vista previa disponible - 2014
Elements of Algebra: Embracing Also the Theory and Application of Logarithms
Davis Wasgatt Clark
Sin vista previa disponible - 2018
added affected algebraic applied arithmetical arrangements becomes binomial called cent Clearing coefficients common complete compound consequently consisting contain continued cube root decimal denominator difference dividend Dividing divisible divisor double equal evidently Evolving EXAMPLES Expand exponent expression Extract the square factors fifth figure Find the values formula four fourth power fraction gain geometrical give given greater Hence increased indicated inequality infin infinite interest involved last term length less letters logarithm manner means method Multiply negative Note number of terms obtain operations period polynomial positive preceding principles problem proportion proposed quotient ratio Reduce the equation remainder represent Required result RULE second power second term share square root Substituting subtract taken tens Theorem third power tion transformations Transposing twice units unknown quantity value of x Whence yards
Página 165 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Página 209 - Several gentlemen made an excursion, each taking the same sum of money. Each had as many servants attending him as there were gentlemen ; the number of dollars which each had was double the number of all the servants, and the whole sum of money taken out was 3456 dollars.
Página 172 - Subtract this square number from the first period, and to the remainder bring down the next period for a dividend.
Página 42 - 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.
Página 68 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Página 233 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change.
Página 232 - BY RATIO is meant the relation which one quantity bears to another, with respect to magnitude. It is evident that this relation can exist only between quantities of a similar kind ; thus, a number must be compared with a number; a line with a line; &c. &c. ; and it would be absurd to compare a certain number of feet with a certain number of pomds; &c.
Página 60 - The least common multiple of two or more numbers, is the least number which can be divided by each of them without a remainder.