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a-Ha added arithmetical series binomial cent Clearing of fractions coefficients common denominator common difference continued fraction cube root cubic equation decimal degree Divide dividend divisible EXAMPLES exponent Extract the square figure Find the values following general RULE formula fourth power fourth root geometrical series given equation given number greater greatest common divisor Hence inder inequality infin infinite series Jāns Jìns JNote last term least common multiple logarithm monomial Multiply negative number of terms obtain order of difference permutations polynomial preceding problem proportion quotient radical sign ratio Reduce the equation Reduce the fraction remainder represent Required the fourth Required the second Required the simplest Required the third result second power second term share simplest form square root Substituting subtract Theorem third power third root tion Transposing units unknown quantity vulgar fraction Whence whole number
Side 163 - Bring down the first figure of the next period to the remainder for a new dividend, to which find a new divisor as before, and in like manner proceed till the whole be finished.
Side 38 - 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 64 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Side 57 - To reduce fractions of different denominators to equivalent fractions, having a common denominator. RULE. — Multiply each numerator into all the denominators except its own for the new numerators ; and multiply all the denominators together for a common denominator.
Side 151 - 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. V. Double the whole root already found, for a new divisor, and continue the operation as before, until all the periods are brought down.
Side 227 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change.
Side 226 - 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.
Side 68 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.