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

Hilliard, Gray & Company, 1833 - 276 σελίδες

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Σελίδα 229 - Multiplication, we observed, is performed by adding the exponents, and division by subtracting the exponent of the divisor from that of the dividend. Thus o' X «6 is a'+
Σελίδα 193 - The exponent of a in the first term is the same as the exponent of the binomial, and decreases by 1 in each succeeding term.
Σελίδα 8 - How many barrels were there in the whole ? Let x denote one half the number of barrels. 15. From two towns, which are 187 miles apart, two travellers set out at the same time with an intention of meeting ; one of them travels at the rate of 8, the other of 9 miles each day. In how many days will they meet ? II. 1 . A cask of wine was sold for \$45, which was only | of what it cost.
Σελίδα 266 - 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. B overtook the same drove of geese at the 45th mile stone, and met the same stage waggon exactly forty minutes before he came to the 31st mile stone. Where was B when A reached London ? 67.
Σελίδα 261 - 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 f to £-. 29.
Σελίδα 25 - ... dollars. How many days did he work, and how many days was he idle ? Ans.
Σελίδα 110 - What fraction is that, to the numerator of which if 1 be added, its value will be f , but if 1 be added to its denominator, its value will be 4 ? 9.
Σελίδα 226 - The sum of all the terms. Any three of which being given, the other two may be found.
Σελίδα 76 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.