## Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the Capacities of the Young, and the Method of Instruction, in Schools and Academies |

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4th power added algebraic antecedent arithmetical progression binomial Binomial Theorem breadth called co-efficient common denominator common difference common index completing the square compound quantities consequent contains cube root denoted Div Div Div Divide the number dividend division divisor dollars dols equal factors equal quantities Euclid EXAMPLES FOR PRACTICE expressed extermination extremes Find the square find two numbers four quantities fourth gallons geometrical progression given quantity greater Hence improper fraction inches integer inverted involution last term length less letter merator Mult multiplicand negative quantity number of terms parallelogram perpendicular positive preceding prefixed problem quadratic equation quan quantities are proportional Quest.—How Quest.—What quotient radical quantities radical sign ratio reciprocal Reduce the equation remainder Required the cube right angled triangle root of a2 rule sides square root substituting subtracted subtrahend third three numbers tion tities Transposing twice unit unknown quantity

### Popular passages

Page 51 - 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.

Page 210 - It is evident that the terms of a proportion may undergo any change which will not destroy the equality of the ratios ; or which will leave the product of the means equal to the product of the extremes.

Page 198 - When there is a series of quantities, such that the ratios of the first to the second, of the second to the third, of the third to the fourth, &c.

Page 232 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...

Page 21 - One quantity is said to be a multiple of another, when the former contains the latter a certain number of times without a remainder.

Page 228 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.

Page 60 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.

Page 35 - MULTIPLYING BY A WHOLE NUMBER is TAKING THE MULTIPLICAND AS MANY TIMES, AS THERE ARE UNITS IN THE MULTIPLIER.

Page 112 - II. Divide the greater number by the less and the preceding divisor by the last remainder till nothing remains. The last divisor is the...

Page 45 - As the product of the divisor and quotient is equal to the dividend, the quotient may be found, by resolving the dividend into two such factors, that one of them shall be the divisor. The other will, of course, be the quotient. Suppose abd is to be divided by a. The factor a and bd will produce the dividend. The first of these, being a divisor, may be set aside.