## An Introduction to Algebra Upon the Inductive Method of Instruction |

### Contents

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### Common terms and phrases

12 rods 3d power 3d root 5th power a b c A's share a² b² a² b³ added algebra algebraic quantities apples approximate root Arithmetic becomes binomial Binomial Theorem bought breadth bushels cents apiece coefficient compound interest compound quantities contain decimal denominator difference divide the number dividend divisor equal equation example exponent expressed factor figure formula found by multiplying fourth fraction gallons gives greater Hence horse length less Let the learner letter logarithm merator miles multiplicand number of dollars number of terms observe pears quan question quotient remainder required to find rods rule second power second root second term shillings sold subtracted Suppose third power third root tities Transposing twice unknown quantity whole number yards zero

### Popular passages

Page 4 - District Clerk's Office. BE IT REMEMBERED, That on the seventh day of May, AD 1828, in the fifty-second year of the Independence of the UNITED STATES OF AMERICA, SG Goodrich, of the said District, has deposited in this office the...

Page 236 - The sum of all the terms. Any three of which being given, the other two may be found.

Page 101 - 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 271 - Divide the number 49 into two such parts, that the quotient of the greater divided by the less, may be to the quotient of the less divided by the greater as i to |. 29.

Page 33 - B gained a sum less by £40 than twice the sum A had lost ; when it appeared that B had twice as much money as A. What money did each begin with ? Let x be the number of pounds each had at first.

Page 92 - It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered...

Page 186 - The 3d power of (2 a — d)4 is (2 a That is, any quantity, which is already a power of a compound quantity, may be raised to any power by multiplying its exponent by the exponent of the power to which it is to be raised. 1. Express the 2d power of (3 6 — c)4. 8. Express the 3d power of (a — c + 2 d)'. 9. Express tjie 7th power of (2 a

Page 276 - At the 50th mile stone from London, A overtook a drove of geese which were proceeding at the rate of three miles in two hours ; and two hours afterwards met a stage waggon, which was moving at the rate of 9 miles in 4 hours.

Page 81 - Hence we derive the following RULE. Divide the coefficient of the dividend by the coefficient of the divisor, and strike out the letters of the divisor from the dividend.

Page 269 - A farmer has a stack of hay, from which he sells a quantity, which is- to the quantity remaining in the proportion of 4 to 5. He then uses 15 loads, and finds that he has a quantity left, which is to the quantity sold as 1 to 2. How many loads did the stack at first contain ? 10.