The Elements of Algebra: Designed for the Use of Common Schools, Also Serving as an Introduction to the "Treatise on Algebra" |
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Common terms and phrases
added algebraic algebraic quantities antecedent arithmetical progression bx-ab change the signs Clear the equation cleared of fractions coefficient common denominator Consequently decimal denote digits Divide the number divisor equal equation of fractions EXAMPLES exponent expression Extracting the square favorable Find a number find the values find x formula four quantities fourth geometrical geometrical progression gives Hence inequality least common multiple left-hand term letters metical mixed quantity NEGATIVE PRODUCTS negative quantities nth root number of combinations number of permutations number of terms number sought numerator and denominator obtain OPERATION placed polynomial POSITIVE PRODUCTS pression proportion quadratic equation quotient rate per cent reciprocal Reduce remainder repetend Rule under Art second term simple chance simple equations solved square root subscript numbers substituted subtract things taken third tions Transposing and uniting twice uniting terms unknown quantity values of x VULGAR FRACTIONS
Popular passages
Page 54 - Subtract the numerator of the subtrahend from the numerator of the minuend, and place the difference over the common denominator.
Page 77 - Two persons, A and B, lay out equal sums of money in trade ; A gains $126, and B loses $87, and A's money is now double of B's : what did each lay out ? Ans. $300.
Page 69 - What number is that whose third part exceeds its fourth part by 16 ? Let x= the number required, Then its — part will be —x, and its — part —a;.
Page 181 - One hundred stones being placed on the ground, in a straight line, at the distance of a yard from each other, how far will a person travel who shall bring them one by one to a basket, which is placed one yard from the first Stone ? Ans.
Page 99 - Then divide the first term of the remainder by the first term of the divisor...
Page 38 - ... the first term of the quotient ; multiply the• divisor by this term, and subtract the product from the dividend.
Page 44 - To reduce a mixed quantity to the form of a fraction. RULE. Multiply the entire part by the denominator of the fraction...
Page 134 - Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second...
Page 10 - It denotes that the quantities between which it is placed, are to be multiplied together.
Page 47 - To reduce an improper fraction to a whole or mixed number, — RULE : Divide the numerator by the denominator ; the quotient will be the whole or mixed number. EXAMPLES FOR PRACTICE.