## 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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### Common terms and phrases

3d power 4th power a-Ha a-Hb acaw added antecedent arithmetical binomial Binomial Theorem called changing the sign co-efficient common denominator common difference common index completing the square compound quantities contains cube root denoted Divide the number dividend division divisor dollars dols equal factors equal quantities Find the square find two numbers fourth gallons geometrical geometrical progression given quantity greater Hence I O N improper fraction inder integer inverted last term less letter Mult multiplicand negative quantity nth root number of terms numerator and denominator positive preceding prefixed principle Prob proportion quadratic equation quan QUEST.--When QUEST.-How QUEST.-If QUEST.-What quotient radical quantities radical sign ratio Reduce the equation remainder Required the cube Required the nth rule sides square root Substitute subtracted subtrahend third tion tity Transposing transposition twice unit unknown quantity yards

### 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.